Flexible display device

CROSS-REFERENCE TO RELATED APPLICATION

0001This U.S. non-provisional patent application claims priority from and the benefit of Korean Patent Application No. 10-2014-0004088, filed on Jan. 13, 2014, which is hereby incorporated by reference for all purposes as if fully set forth herein.

BACKGROUND

00021. Field

0003The present disclosure relates to a flexible display device. More particularly, the present disclosure relates to a flexible display device capable of reducing damage from bending.

00042. Discussion of the Background

0005Recently, bendable or foldable display devices (hereinafter, referred to as flexible display devices) have been developed. The flexible display device includes a flexible display panel and various outer members.

0006The outer members may have different functions from each other. The outer members are disposed on either surface of the flexible display panel and may be bent together with the flexible display panel.

0007The above information disclosed in this Background section is only for enhancement of understanding of the background of the invention and therefore it may contain information that does not form any part of the prior art nor what the prior art may suggest to a person of ordinary skill in the art.

SUMMARY

0008Exemplary embodiments of the present disclosure provide a flexible display device including members of which stresses may be partially decoupled from each other when bent.

0009Additional features of the invention will be set forth in the description which follows, and in part will be apparent from the description, or may be learned by practice of the invention.

0010An exemplary embodiment of the present invention discloses a flexible display panel, including a flexible display panel, a flexible outer member disposed on the flexible display panel, and a stress control member disposed between the flexible display panel and the flexible outer member, wherein the stress control member is configured to define neutral planes in the flexible display panel and the flexible outer member when the flexible display device is bent.

0011An exemplary embodiment of the present invention discloses a flexible display device, including a flexible display panel, a flexible outer member disposed on the flexible display panel, and a stress control member disposed between the flexible display panel and the flexible outer member and configured to physically couple the flexible display panel and the flexible outer member to each other, wherein the flexible display device is configured to partially decouple a stress of the flexible display panel from a stress of the flexible outer member by the stress control member when the flexible display device is bent, such that a strain at one surface of the flexible display panel adjacent to the stress control member occurs by either one of a compressive stress or a tensile stress, and a strain at one surface of the flexible outer member adjacent to the stress control member occurs by the other one of the compressive stress or the tensile stress.

0012An exemplary embodiment of the present invention also discloses a flexible display device, including a flexible display panel member, flexible outer members disposed on the flexible display panel member, and stress control members, each disposed between the flexible display panel member and the flexible outer members, configured to physically couple the adjacent two members to each other, and have a maximum shear strain of a bent portion of about 150% or more when the flexible display device is bent.

0013It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory and are intended to provide further explanation of the invention as claimed.

BRIEF DESCRIPTION OF THE DRAWINGS

0014The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate exemplary embodiments of the invention, and together with the description serve to explain the principles of the invention.

0015The inventive concepts will become more apparent in view of the attached drawings and accompanying detailed description.

0016<figref idref="DRAWINGS">FIG. 1A</figref> is a perspective view showing a flexible display device that is unfolded according to an exemplary embodiment of the inventive concepts;

0017<figref idref="DRAWINGS">FIG. 1B</figref> is a side view showing a flexible display device that is bent according to an exemplary embodiment of the inventive concepts;

0018<figref idref="DRAWINGS">FIG. 2</figref> is a plan view showing a flexible display panel according to an exemplary embodiment of the inventive concepts;

0019<figref idref="DRAWINGS">FIG. 3</figref> is an equivalent circuit diagram showing a pixel according to an exemplary embodiment of the inventive concepts;

0020<figref idref="DRAWINGS">FIG. 4</figref> is a cross-sectional view showing a pixel according to an exemplary embodiment of the inventive concepts;

0021<figref idref="DRAWINGS">FIG. 5</figref> is a cross-sectional view showing a touch panel according to an exemplary embodiment of the inventive concepts;

0022<figref idref="DRAWINGS">FIG. 6A</figref> is a side view showing a strain occurring in a member having a single layer when the single layered member is bent;

0023<figref idref="DRAWINGS">FIG. 6B</figref> is a side view showing a strain occurring in a member having a double layer when the double layered member is bent;

0024<figref idref="DRAWINGS">FIG. 7A</figref> is a side view showing a display device including members of which stresses are coupled to each other when the display apparatus is bent;

0025<figref idref="DRAWINGS">FIG. 7B</figref> is a graph showing a strain occurring in the display device shown in <figref idref="DRAWINGS">FIG. 7A</figref>;

0026<figref idref="DRAWINGS">FIG. 7C</figref> is a view showing a method of measuring a strain occurring in a display device;

0027<figref idref="DRAWINGS">FIG. 8A</figref> is a side view showing a display device including members of which stresses are decoupled from each other when the display device is bent;

0028<figref idref="DRAWINGS">FIG. 8B</figref> is a graph showing a strain occurring in the display device shown in <figref idref="DRAWINGS">FIG. 8A</figref>;

0029<figref idref="DRAWINGS">FIG. 9A</figref> is a cross-sectional view showing a display device according to an exemplary embodiment of the inventive concepts;

0030<figref idref="DRAWINGS">FIG. 9B</figref> is a graph showing a strain occurring in the display device shown in FIG. <b>9</b>A;

0031<figref idref="DRAWINGS">FIG. 9C</figref> is a perspective view showing relation between a shear stress and a shear strain;

0032<figref idref="DRAWINGS">FIG. 9D</figref> is a view showing a method of measuring a shear strain of a stress control member of the display device of <figref idref="DRAWINGS">FIG. 9A</figref>;

0033<figref idref="DRAWINGS">FIG. 9E</figref> is a graph showing a radius of curvature according to a bending angle;

0034<figref idref="DRAWINGS">FIGS. 10A to 10C</figref> are graphs showing strains according to a modulus and a bending speed of a stress control member;

0035<figref idref="DRAWINGS">FIG. 11A</figref> is an image showing a cross-section of a bent experimental member;

0036<figref idref="DRAWINGS">FIG. 11B</figref> is a graph showing a strain occurring in the experimental member shown in <figref idref="DRAWINGS">FIG. 11A</figref>;

0037<figref idref="DRAWINGS">FIG. 12</figref> is a side view showing a display device according to an exemplary embodiment of the inventive concepts;

0038<figref idref="DRAWINGS">FIG. 13</figref> is a graph showing a strain occurring in the display device shown in <figref idref="DRAWINGS">FIG. 12</figref>;

0039<figref idref="DRAWINGS">FIGS. 14A to 14C</figref> are graphs showing shear strains of stress control members shown in <figref idref="DRAWINGS">FIG. 12</figref>; and

0040<figref idref="DRAWINGS">FIGS. 15A to 15E</figref> are side views showing display devices according to some exemplary embodiments of the inventive concepts.

DETAILED DESCRIPTION OF THE EMBODIMENTS

0041The invention is described more fully hereinafter with reference to the accompanying drawings, in which embodiments of the invention are shown. This invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure is thorough, and will fully convey the scope of the invention to those skilled in the art. In the drawings, the size and relative sizes of layers and regions may be exaggerated for clarity. Like reference numerals in the drawings denote like elements.

0042It will be understood that when an element or layer is referred to as being “on”, “connected to” or “coupled to” another element or layer, it can be directly on, connected or coupled to the other element or layer or intervening elements or layers may be present. In contrast, when an element is referred to as being “directly on,” “directly connected to” or “directly coupled to” another element or layer, there are no intervening elements or layers present. Like numbers refer to like elements throughout. As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items. It will be understood that for the purposes of this disclosure, “at least one of X, Y, and Z” can be construed as X only, Y only, Z only, or any combination of two or more items X, Y, and Z (e.g., XYZ, XYY, YZ, ZZ).

0043It will be understood that, although the terms first, second, etc. may be used herein to describe various elements, components, regions, layers and/or sections, these elements, components, regions, layers and/or sections should not be limited by these terms. These terms are only used to distinguish one element, component, region, layer or section from another region, layer or section. Thus, a first element, component, region, layer or section discussed below could be termed a second element, component, region, layer or section without departing from the teachings of the present invention.

0044Spatially relative terms, such as “beneath”, “below”, “lower”, “above”, “upper” and the like, may be used herein for ease of description to describe one element or feature's relationship to another element(s) or feature(s) as illustrated in the figures. It will be understood that the spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, elements described as “below” or “beneath” other elements or features would then be oriented “above” the other elements or features. Thus, the exemplary term “below” can encompass both an orientation of above and below. The device may be otherwise oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.

0045The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used herein, the singular forms, “a”, “an” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “includes” and/or “including”, when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.

0046Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.

0047Hereinafter, exemplary embodiments of the present invention will be explained in detail with reference to the accompanying drawings.

0048<figref idref="DRAWINGS">FIG. 1A</figref> is a perspective view showing a flexible display device that is unfolded according to an exemplary embodiment of the inventive concepts. <figref idref="DRAWINGS">FIG. 1B</figref> is a side view showing a flexible display device that is bent according to an exemplary embodiment of the inventive concepts.

0049As illustrated in <figref idref="DRAWINGS">FIG. 1A</figref>, a flexible display device DD (hereinafter, referred to as ‘a display device’) includes a flexible display panel DP (hereinafter, referred to as ‘a display panel’) and a flexible outer member OSM (hereinafter, referred to as ‘an outer member’) disposed on the display panel DP. The display device DD includes a stress control member AM disposed between the display panel DP and the outer member OSM.

0050The display panel DP includes a display surface DS defined by a first direction DR<b>1</b> and a second direction DR<b>2</b>. The display panel DP displays an image to the user through the display surface DS. <figref idref="DRAWINGS">FIG. 1A</figref> illustrates the display panel DP having one display surface DS. In an exemplary embodiment, the display panel DP may display images through both surfaces thereof.

0051The stress control member AM is disposed on the display surface DS. The outer member OSM is disposed on the stress control member AM. The stress control member AM is disposed between the display panel DP and the outer member OSM. The display device DD may also include another outer member OSM disposed on a non-display surface NDS opposite to the display surface DS.

0052The outer member OSM may include at least one of a touch panel, an optical member, a window member, and a protecting member, stacked in a third direction DR<b>3</b> perpendicular to the display surface DS.

0053As shown in <figref idref="DRAWINGS">FIG. 1B</figref>, the display device DD may be bent at a specific region. When the display device DD is bent, the display device DD may be divided into a bent region BA, a first planar region PA<b>1</b>, and a second planar region PA<b>2</b>.

0054Degrees of shape transformation of the first and second planar regions PA<b>1</b> and PA<b>2</b> are less than that of the bent region BA. The first and second planar regions PA<b>1</b> and PA<b>2</b> need not provide flat surfaces. In an exemplary embodiment, an entire portion of the display device DD may be curved or rolled, in other words, the bent region BA is not limited to the portion of the display device DD as illustrated in the drawings such that any portion of the display device DD may be at least one of the first and second planar regions PA<b>1</b> and PA<b>2</b> and the bent region BA.

0055The display device DD may have a radius of curvature RC. The radius of curvature RC is defined as the shortest distance from a bending axis AX to corresponding surface of the display device DD in the bent region BA. The radius of curvature RC may be in a range of about 3 mm to about 20 mm when the display device DD is bent at an angle of 180 degrees such that the first and second planar regions PA<b>1</b> and PA<b>2</b> are parallel to each other.

0056The display device DD may have various bending angle. <figref idref="DRAWINGS">FIG. 1B</figref> shows the bent display device DD having the first and second planar regions PA<b>1</b> and PA<b>2</b> parallel to each other as an example. The display device DD may have the bending angle of 120 degrees such that an internal angle between the first and second planar regions PA<b>1</b> and PA<b>2</b> may be 60 degrees. Also, the display device DD may have the bending angled of 90 degrees such that an internal angle between the first and second planar regions PA<b>1</b> and PA<b>2</b> may be 90 degrees. In <figref idref="DRAWINGS">FIG. 1B</figref>, the display device DD is bent with the outer member OSM disposed inside the bent display device DD. However, the inventive concepts are not limited thereto, and the display device DD may be bent with the display panel DP disposed inside the bent display device DD.

0057The display panel DP may be one of an organic light emitting display panel, an electrophoretic display panel, or an electrowetting display panel. The display panel DP includes a flexible base substrate, signal interconnections disposed on the base substrate, insulating layers disposed on the base substrate, and pixels electrically connected to the signal interconnections. Each of the pixels includes a display element and a circuit part controlling the display element.

0058<figref idref="DRAWINGS">FIG. 2</figref> is a plan view showing a flexible display panel DP according to an exemplary embodiment of the inventive concepts. <figref idref="DRAWINGS">FIG. 3</figref> is an equivalent circuit diagram of a pixel according to an exemplary embodiment of the inventive concepts. <figref idref="DRAWINGS">FIG. 4</figref> is a cross-sectional view showing a pixel according to an exemplary embodiment of the inventive concepts, corresponding to a portion of the equivalent circuit shown in <figref idref="DRAWINGS">FIG. 3</figref>. Hereinafter, an organic light emitting display panel according to an exemplary embodiment will be described with reference to <figref idref="DRAWINGS">FIGS. 2</figref>, <b>3</b>, and <b>4</b>.

0059As illustrated in <figref idref="DRAWINGS">FIG. 2</figref>, an organic light emitting display panel DP may be divided into a plurality of light emitting areas LA(i, j) to LA(i+1, j+2) and a non-light emitting area NLA surrounding the light emitting areas LA(i, j) to LA(i+1, j+2). <figref idref="DRAWINGS">FIG. 2</figref> shows six light emitting areas LA(i, j) to LA(i+1, j+2) as an example.

0060<figref idref="DRAWINGS">FIG. 3</figref> illustrates the equivalent circuit of a pixel PX(i, j). However, a structure of the pixel PX(i, j) is not limited thereto, and the structure of the pixel PX(i, j) may be variously modified. The pixel PX(i, j) receives a gate signal from an i-th gate line GLi and a data signal from a j-th data line DLj. The pixel PX(i, j) receives a first power voltage ELVDD from a power source line KL.

0061The pixel PX(i, j) includes an organic light emitting diode OLED as the display element. The pixel PX(i, j) may further include a switching thin film transistor TR-S, a driving thin film transistor TR-D, and a capacitor Cap as circuit parts.

0062The switching thin film transistor TR-S outputs the data signal applied to the j-th data line DLj in response to a gate signal applied to the i-th gate line GLi. The capacitor Cap stores electric charge and forms a charge voltage corresponding to the data signal received from the switching thin film transistor TR-S.

0063The driving thin film transistor TR-D is connected to the organic light emitting diode OLED. The driving thin film transistor TR-D controls a driving current flowing through the organic light emitting diode OLED in response to the electric charge stored in the capacitor Cap. The organic light emitting diode OLED emits light during the turn-on period of the driving thin film transistor TR-D.

0064Referring to <figref idref="DRAWINGS">FIGS. 2 and 3</figref>, the organic light emitting diode OLED is disposed to overlap with one light emitting area LA(i, j) among the light emitting areas LA(i, j) to LA(i+1, j+2) when viewed from a plan view. The switching thin film transistor TR-S, the driving thin film transistor TR-D, and the capacitor Cap are disposed to overlap with the non-light emitting area NLA adjacent to the one light emitting area LA(i, j) when viewed from a plan view. Additionally, the i-th gate line GLi and the j-th data line DLj are disposed to overlap with the non-light emitting area NLA adjacent to the one light emitting area LA(i, j) when viewed from a plan view.

0065Referring to <figref idref="DRAWINGS">FIG. 4</figref>, insulating layers <b>10</b>, <b>20</b>, and <b>30</b>, the driving thin film transistor TR-D, and the organic light emitting diode OLED are disposed on a base substrate SUB.

0066The base substrate SUB may include a flexible plastic substrate. A semiconductor pattern AL of the driving thin film transistor TR-D is disposed on the base substrate SUB. A first insulating layer <b>10</b> is disposed on the base substrate SUB to cover the semiconductor pattern AL. The first insulating layer <b>10</b> may include at least one of an organic layer and an inorganic layer. The first insulating layer <b>10</b> may include a plurality of thin layers.

0067A control electrode GE of the driving thin film transistor TR-D is disposed on the first insulating layer <b>10</b>. The second insulating layer <b>20</b> is disposed on the first insulating layer <b>10</b> to cover the control electrode GE. The second insulating layer <b>20</b> may include at least one of an organic layer and an inorganic layer. The second insulating layer <b>20</b> may include a plurality of thin layers.

0068An input electrode SE and an output electrode DE of the driving thin film transistor TR-D are disposed on the second insulating layer <b>20</b>. The input electrode SE and the output electrode DE are connected to the semiconductor pattern AL respectively through a first contact hole CH<b>1</b> and a second contact hole CH<b>2</b>, formed through the first and second insulating layers <b>10</b> and <b>20</b> exposing a portion of the semiconductor pattern AL. According to an exemplary embodiment, the driving thin film transistor TR-D may also have a bottom gate structure.

0069The third insulating layer <b>30</b> is disposed on the second insulating layer <b>20</b> to cover the input electrode SE and the output electrode DE. The third insulating layer <b>30</b> may include at least one of an organic layer and an inorganic layer. The third insulating layer <b>30</b> may include a plurality of thin layers.

0070A pixel defining layer PXL and the organic light emitting diode OLED are disposed on the third insulating layer <b>30</b>. The organic light emitting diode OLED includes an anode AE, a first common layer CL<b>1</b>, an organic light emitting layer EML, a second common layer CL<b>2</b>, and a cathode CE, sequentially stacked. The anode AE is connected to the output electrode DE through a third contact hole CH<b>3</b> formed through the third insulating layer <b>30</b> exposing a portion of the output electrode DE. Positions of the anode AE and the cathode CE may be changed with each other according to the light emission direction of the organic light emitting diode OLED. Positions of the first and second common layers CL<b>1</b> and CL<b>2</b> may also be changed with respect to each other according to the light emission direction of the organic light emitting diode OLED.

0071The anode AE is disposed on the third insulating layer <b>30</b>. An opening OP is formed through the pixel defining layer PXL to expose a portion of the anode AE. The first common layer CL<b>1</b> is disposed on the anode AE. The common layer CL<b>1</b> is disposed not only in the light emitting area LA but also in the non-light emitting area NLA. The first common layer CL<b>1</b> includes a hole injection layer. The first common layer CL<b>1</b> may further include a hole transport layer.

0072The organic light emitting layer EML is disposed on the first common layer CL<b>1</b>. The organic light emitting layer EML is disposed overlapping the opening OP. The second common layer CL<b>2</b> is disposed on the first common layer CL<b>1</b> and the light emitting layer EML. The second common layer CL<b>2</b> includes an electron injection layer. The second common layer CL<b>2</b> may further include an electron transport layer. The cathode CE is disposed on the second common layer CL<b>2</b>. The cathode CE is disposed not only in the light emitting area LA but also in the non-light emitting area NLA.

0073A sealing layer ECL is disposed on the cathode CE. The sealing layer ECL overlaps with the light emitting area LA and the non-light emitting area NLA. The sealing layer ECL may include at least one of an organic layer and an inorganic layer. According to an exemplary embodiment, the display panel DP may further include a fourth insulating layer disposed between the cathode CE and the sealing layer ECL to planarize the surface. Also, the sealing layer ECL may be replaced with a sealing substrate.

0074The switching thin film transistor TR-S may have the same structure as that of the driving thin film transistor TR-D. In addition, two electrodes of the capacitor Cap may be disposed on two of the first, second, and third insulating layers <b>10</b>, <b>20</b>, and <b>30</b>.

0075Referring again to <figref idref="DRAWINGS">FIGS. 1A and 1B</figref>, the outer member OSM may be a touch panel. The touch panel senses an external input applied to the display device DD. When the user's finger or an electronic pen indicates a specific spot (hereinafter, referred to as ‘an input spot’), the touch panel obtains coordinates information of the input spot. The touch panel may sense the external input in various ways, including an electrostatic capacitive mode, a resistive mode, an electromagnetic induction mode, etc.

0076<figref idref="DRAWINGS">FIG. 5</figref> is a cross-sectional view showing a touch panel according to an exemplary embodiment of the inventive concepts. <figref idref="DRAWINGS">FIG. 5</figref> shows an electrostatic capacitive mode touch panel TSP as an example.

0077The electrostatic capacitive mode touch panel TSP includes a first base layer BL<b>1</b>, a first conductive layer CDL<b>1</b>, a first inner layer IL<b>1</b>, a second conductive layer CDL<b>2</b>, a second inner layer IL<b>2</b>, and a second base layer BL<b>1</b>. The first conductive layer CDL<b>1</b>, the first inner layer IL<b>1</b>, the second conductive layer CDL<b>2</b>, the second inner layer IL<b>2</b>, and the second base layer BL<b>1</b>, sequentially stacked on the first base layer BL<b>1</b>. The first and second base layers BL<b>1</b> and BL<b>2</b> may be plastic films. The first and second inner layers IL<b>1</b> and IL<b>2</b> may include an insulating material. The first and second conductive layers CDL<b>1</b> and CDL<b>2</b> may include a transparent conductive material.

0078Each of the first and second conductive layers CDL<b>1</b> and CDL<b>2</b> includes conductive patterns. The first conductive layer CDL<b>1</b> includes conductive patterns extending in the first direction DR<b>1</b> and arranged in the second direction DR<b>2</b>. The second conductive layer CDL<b>2</b> includes conductive patterns extending in the second direction DR<b>2</b> and arranged in the first direction DR<b>1</b>. The cross-sectional view of <figref idref="DRAWINGS">FIG. 5</figref> shows one conductive pattern included in the first conductive layer CDL<b>1</b> and eight conductive patterns included in the second conductive layer CDL<b>2</b> as an example.

0079The electrostatic capacitive mode touch panel TSP detects capacitance variation occurring when the user's finger or the electronic pen is located on the second base layer BL<b>2</b>, thereby obtaining the coordinates information of the input spot. The first conductive layer CDL<b>1</b> and the second conductive layer CDL<b>2</b> may include conductive patterns having other shapes according to a kind of the touch panel.

0080Referring again to <figref idref="DRAWINGS">FIGS. 1A and 1B</figref>, the stress control member AM physically couples the display panel DP to the outer member OSM. When the display device DD is bent, the stress control member AM may partially decouple the stress of the display panel DP from the stress of the outer member OSM. Thus, when the display device DD is bent, different neutral planes may be formed in the display panel DP and the outer member OSM, respectively.

0081The stress control member AM may be a pressure sensitive adhesive (PSA) sheet. The pressure sensitive adhesive sheet may include at least one of a polymer, a cross-linking agent, and a resin. The polymer may include at least one of acrylic polymers, silicon-based polymers, and urethane-based polymers.

0082The pressure sensitive adhesive sheet includes a portion having a relatively high viscosity and a portion having a relatively high elasticity in its thickness direction. An outer surface of the pressure sensitive adhesive sheet is formed of the portion having the high viscosity, and an inner layer of the pressure sensitive adhesive sheet is formed of the portion having the high elasticity. The stress control member AM is not limited to the pressure sensitive adhesive sheet. In an exemplary embodiment, the stress control member AM may be an adhesive member including an elastic inner layer and a viscous outer layer.

0083Hereinafter, the stress control member AM included in the display device DD according to the inventive concepts will be described with reference to <figref idref="DRAWINGS">FIGS. 6A</figref>, <b>6</b>B, <b>7</b>A, <b>7</b>B, <b>7</b>C, <b>8</b>A, <b>8</b>B, and <b>9</b>A to <b>9</b>E in detail.

0084<figref idref="DRAWINGS">FIG. 6A</figref> is a side view showing a strain occurring in a member having a single layer when the single layered member is bent. <figref idref="DRAWINGS">FIG. 6B</figref> is a side view showing a strain occurring in a member having a double layer when the double layered member is bent.

0085<figref idref="DRAWINGS">FIG. 6A</figref> shows a member SM<b>1</b> having a single layer <b>100</b>. The member SM<b>1</b> may be a display panel DD or an outer member OSM. The member SM<b>1</b> has a predetermined thickness TS<b>1</b>. When the member SM<b>1</b> is bent with a radius of curvature RC<b>10</b>, one neutral plane NP-S<b>1</b> forms.

0086When the member SM<b>1</b> is bent, a strain occurring in a spot spaced apart from the neutral plane NP-S<b>1</b> by a distance AZ in its thickness direction may be expressed as following equation 1. If the spot spaced by the predetermined distance AZ is closer to an inner surface IS that the neutral plane NP-S<b>1</b>, a strain by a compressive stress (i.e., a compressive strain) occurs. On the other hand, if the spot spaced by the predetermined distance AZ is closer to an outer surface OS that the neutral plane NP-S<b>1</b>, a strain by a tensile stress (i.e., a tensile stress) occurs.

0000<maths id="MATH-US-00001" num="00001"><math overflow="scroll"><mtable><mtr><mtd><mrow><mi>S</mi><mo>=</mo><mrow><mfrac><mrow><mrow><mi>π</mi><mo></mo><mrow><mo>(</mo><mrow><mrow><mi>RC</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>10</mn></mrow><mo>+</mo><mrow><mi>Δ</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mi>Z</mi></mrow></mrow><mo>)</mo></mrow></mrow><mo>-</mo><mrow><mi>π</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mi>R</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mi>C</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>10</mn></mrow></mrow><mrow><mi>π</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mi>RC</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>10</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mi>Δ</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mi>Z</mi></mrow><mrow><mi>RC</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>10</mn></mrow></mfrac></mrow></mrow></mtd><mtd><mrow><mo>[</mo><mrow><mi>Equation</mi><mo></mo><mstyle><mspace width="0.8em" height="0.8ex" /></mstyle><mo></mo><mn>1</mn></mrow><mo>]</mo></mrow></mtd></mtr></mtable></math></maths>

0087Thus, the compressive strain occurring at the inner surface IS and the tensile strain occurring at the outer surface OS may be expressed as following equation 2. The maximum strains may occur at the inner surface IS and the outer surface OS.

0000<maths id="MATH-US-00002" num="00002"><math overflow="scroll"><mtable><mtr><mtd><mrow><mi>S</mi><mo>=</mo><mfrac><mrow><mi>TS</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>1</mn></mrow><mrow><mn>2</mn><mo>×</mo><mi>RC</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>10</mn></mrow></mfrac></mrow></mtd><mtd><mrow><mo>[</mo><mrow><mi>Equation</mi><mo></mo><mstyle><mspace width="0.8em" height="0.8ex" /></mstyle><mo></mo><mn>2</mn></mrow><mo>]</mo></mrow></mtd></mtr></mtable></math></maths>

0088<figref idref="DRAWINGS">FIG. 6B</figref> is a side view showing a member SM<b>2</b> having a double layer when the double layered member is bent. The member SM<b>2</b> includes a first layer <b>210</b> and a second layer <b>220</b> disposed on the first layer <b>210</b>. The second layer <b>220</b> may be coated or deposited on the first layer <b>210</b>. The first layer <b>210</b> and the second layer <b>220</b> may be adhered to each other by a hard adhesive having a negligible viscosity or elasticity.

0089The first layer <b>210</b> and the second layer <b>220</b> have thicknesses of TS<b>10</b> and TS<b>20</b>, respectively. The member SM<b>2</b> is bent with a radius of curvature RC<b>20</b>. At this time, one neutral plane NP-S<b>2</b> occurs in the member SM<b>2</b>. Even though the member SM<b>2</b> has double layer, the member SM<b>2</b> is analyzed as a single layer for purpose of stain. The strain occurring at the outer surface OS of the member SM<b>2</b> may be expressed as the following equation 3 considering the thicknesses and moduli of the first layer <b>210</b> and the second layer <b>220</b>.

0000<maths id="MATH-US-00003" num="00003"><math overflow="scroll"><mtable><mtr><mtd><mrow><mi>S</mi><mo>=</mo><mrow><mrow><mo>{</mo><mfrac><mrow><mrow><mi>TS</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>10</mn></mrow><mo>+</mo><mrow><mi>TS</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>20</mn></mrow></mrow><mrow><mn>2</mn><mo>×</mo><mi>RC</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mn>20</mn></mrow></mfrac><mo>}</mo></mrow><mo>×</mo><mrow><mo>{</mo><mfrac><mrow><mn>1</mn><mo>+</mo><mrow><mn>2</mn><mo></mo><mi>η</mi></mrow><mo>+</mo><mrow><mi>χ</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><msup><mi>η</mi><mn>2</mn></msup></mrow></mrow><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo>+</mo><mi>η</mi></mrow><mo>)</mo></mrow><mo></mo><mrow><mo>(</mo><mrow><mn>1</mn><mo>+</mo><mrow><mi>χ</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mi>η</mi></mrow></mrow><mo>)</mo></mrow></mrow></mfrac><mo>}</mo></mrow></mrow></mrow></mtd><mtd><mrow><mo>[</mo><mrow><mi>Equation</mi><mo></mo><mstyle><mspace width="0.8em" height="0.8ex" /></mstyle><mo></mo><mn>3</mn></mrow><mo>]</mo></mrow></mtd></mtr></mtable></math></maths>

0090In the equation 3, “η” is defined as a value obtained by dividing the thickness TS<b>20</b> of the second layer <b>220</b> by the thickness TS<b>10</b> of the first layer <b>210</b>, and “x” is defined as a value obtained by dividing Young's modulus of the second layer <b>220</b> by Young's modulus of the first layer <b>210</b>.

0091<figref idref="DRAWINGS">FIG. 7A</figref> is a side view showing a display device including members of which their stresses are coupled to each other when the display apparatus is bent. <figref idref="DRAWINGS">FIG. 7B</figref> is a graph showing a strain occurring in the display device shown in <figref idref="DRAWINGS">FIG. 7A</figref>. <figref idref="DRAWINGS">FIG. 7C</figref> is a view showing a method of measuring a strain occurring in a display device.

0092Referring to <figref idref="DRAWINGS">FIG. 7A</figref>, a display device DD-S<b>1</b> includes a display panel DP-S<b>1</b>, an outer member OSM-S<b>1</b>, and an adhesive member AM-S<b>1</b>. The display panel DP-S<b>1</b>, the outer member OSM-S<b>1</b>, and the adhesive member AM-S<b>1</b> have thicknesses of T<b>1</b>, T<b>2</b>, and T<b>3</b>, respectively. The display device DD-S<b>1</b> is bent so that the display panel DP-S<b>1</b> is disposed inside the bent display device DD-S<b>1</b>.

0093The adhesive member AM-S<b>1</b> physically couples the display panel DP-S<b>1</b> to the outer member OSM-S<b>1</b>. When the display device DD-S<b>1</b> is bent, a stress of the display panel DP-S<b>1</b> is coupled to a stress of the outer member OSM-S<b>1</b> by the adhesive member AM-S<b>1</b>. Thus, one neutral plane SNP<b>1</b> is formed in the display device DD-S<b>1</b> when the display device DD-S<b>1</b> is bent. <figref idref="DRAWINGS">FIG. 7A</figref> shows the neutral plane SNP<b>1</b> defined within the adhesive member AM-S<b>1</b> as an example. The neutral plane is an imaginary plane defined by spots of which strains are substantially zero (0). Due to an experimental error, the strain of substantial zero may be expanded to a range of +0.05 to −0.05 between a tensile strain and a compressive strain, considering experimental error.

0094A first graph GR<b>1</b> in <figref idref="DRAWINGS">FIG. 7B</figref> represents the strain occurring in the display device DD-S<b>1</b>. The first graph GR<b>1</b> includes strains occurring in five spots SA<b>1</b>, SA<b>2</b>, SA<b>3</b>, SA<b>4</b>, and SAN<b>1</b>. The five spots SA<b>1</b>, SA<b>2</b>, SA<b>3</b>, SA<b>4</b>, and SAN<b>1</b> are disposed on a reference line RA which extends from a bending axis AX perpendicular to a display surface DS of the display panel DP-S<b>1</b>.

0095Since the adhesive member AM-S<b>1</b> couples the stress of the display panel DP-S<b>1</b> to the stress of the outer member OSM-S<b>1</b>, the strain occurring in the display device DD-S<b>1</b> according to its thickness may be represented by the equation 1 or the equation 3. The strain occurring in the display device DD-S<b>1</b> may be similar to a strain occurring in one member.

0096The first spot SA<b>1</b> disposed at a non-display surface NDS of the display panel DP-S<b>1</b> has a the maximum strain occurring by a compressive stress (i.e., the maximum compressive strain), and the fourth spot SA<b>4</b> disposed at an outer surface OS of the outer member OSM-S<b>1</b> has the maximum strain occurring by a tensile stress (i.e., the maximum tensile strain). The second spot SA<b>2</b> disposed at a display surface DS of the display penal DP-S<b>1</b> has a compressive strain smaller than that of the first spot SA<b>1</b>, and the third spot SA<b>3</b> disposed at an inner surface IS of the outer member OSM-S<b>1</b> has a tensile strain smaller than that of the fourth spot SA<b>4</b>. No substantial strain occurs in the fifth spot SAN<b>1</b>.

0097The first graph GR<b>1</b> of <figref idref="DRAWINGS">FIG. 7B</figref> shows the strain linearly changed from the first spot SA<b>1</b> to the fourth spot SA<b>4</b>. Non-linear sections may be disposed between the five spots SA<b>1</b>, SA<b>2</b>, SA<b>3</b>, SA<b>4</b>, and SAN<b>1</b> when each of the display panel DP-S<b>1</b> and the outer member OSM-S<b>1</b> includes a plurality of layers having different material properties from each other.

0098The strains occurring in the four spots SA<b>1</b>, SA<b>2</b>, SA<b>3</b>, and SA<b>4</b> may be measured by a method shown in <figref idref="DRAWINGS">FIG. 7C</figref>. The strain may be measured using first and second members SM<b>10</b> and SM<b>20</b>, each including a first function layer FL<b>1</b>, a second function layer FL<b>2</b>, and a third function layer FL<b>3</b>, that have material properties similar to those of the display panel DP-S<b>1</b>, the outer member OSM-S<b>1</b>, and the adhesive member AM-S<b>1</b>, respectively.

0099The first member SM<b>10</b> includes a silicon pattern SCP disposed on each outer surface OS of the first and second function layers FL<b>1</b> and FL<b>2</b>. The second member SM<b>20</b> includes a silicon pattern SCP disposed on each inner surfaces IS of each of the first and second function layers FL<b>1</b> and FL<b>2</b>.

0100If the first and second members SM<b>10</b> and SM<b>20</b> are bent, the silicon patterns SCP may have different resistance values from a piezo-resistance effect of silicon. The resistance of a P-type silicon pattern decreases when the compressive stress is applied, and the resistance of the P-type silicon pattern increases when the tensile stress is applied. The resistance of an N-type silicon pattern increases when the compressive stress is applied, and the resistance of the N-type silicon pattern decreases when the tensile stress is applied.

0101When the first and second members SM<b>10</b> and SM<b>20</b> are bent, the resistance values of the silicon patterns SCP are measured to calculate the strains occurring in the four spots SA<b>1</b>, SA<b>2</b>, SA<b>3</b>, and SA<b>4</b>.

0102<figref idref="DRAWINGS">FIG. 8A</figref> is a side view showing a display device including members of which stresses are decoupled from each other when the display device is bent. <figref idref="DRAWINGS">FIG. 8B</figref> is a graph showing a strain occurring in the display device shown in <figref idref="DRAWINGS">FIG. 8A</figref>.

0103As shown in <figref idref="DRAWINGS">FIG. 8A</figref>, a display device DD-S<b>2</b> includes a display panel DP-S<b>2</b>, an outer member OSM-S<b>2</b>, and an adhesive member AM-S<b>2</b>. The display panel DP-S<b>2</b>, the outer member OSM-S<b>2</b>, and the adhesive member AM-S<b>2</b> have thicknesses of T<b>10</b>, T<b>20</b>, and T<b>30</b>, respectively.

0104When the display device DD-S<b>2</b> is bent, the adhesive member AM-S<b>2</b> decouples a stress of the display device DD-S<b>2</b> from a stress of the outer member OSM-S<b>2</b>. Thus, neutral planes SNP<b>10</b> and SNP<b>20</b> can be respectively defined or formed in the display panel DD-SP and the outer member OSM-S<b>2</b> when the display device DD-S<b>2</b> is bent. Each of the display panel DP-S<b>2</b> and the outer member OSM-S<b>2</b> has a strain expressed by the equation 1 or 3, and the strains of the display panel DP-S<b>2</b> and the outer member OSM-S<b>2</b> are independent of each other. In other words, the strains occurring in the display panel DP-S<b>2</b> and the outer member OSM-S<b>2</b> are only affected by their respective thicknesses.

0105Second graphs GR<b>2</b>-<b>1</b> and GR<b>2</b>-<b>2</b> of <figref idref="DRAWINGS">FIG. 8B</figref> represent the strains occurring in the display device DD-S<b>2</b>. In the event that the thickness T<b>10</b> of the display panel DP-S<b>2</b> is similar to the thickness T<b>20</b> of the outer member OSM-S<b>2</b>, a first spot SA<b>10</b> and a third spot SA<b>30</b> may have compressive strains of similar intensities, and a second spot SA<b>20</b> and a fourth spot SA<b>40</b> may have tensile strains of similar intensities.

0106However, the adhesive member AM-S<b>2</b> does not physically couple the display panel DP-S<b>2</b> to the outer member OSM-S<b>2</b>. Thus, the display panel DP-S<b>2</b> and the outer member OSM-S<b>2</b> become physically separated from the adhesive member AM-S<b>2</b> when the display panel DD-S<b>2</b> is bent.

0107<figref idref="DRAWINGS">FIG. 9A</figref> is a cross-sectional view showing a display device according to an exemplary embodiment of the inventive concepts. <figref idref="DRAWINGS">FIG. 9B</figref> is a graph showing a strain occurring in the display device shown in <figref idref="DRAWINGS">FIG. 9A</figref>. <figref idref="DRAWINGS">FIG. 9C</figref> is a perspective view showing relation between a shear stress and a shear strain. <figref idref="DRAWINGS">FIG. 9D</figref> is a view showing a method of measuring a shear strain of a stress control member of the display device of <figref idref="DRAWINGS">FIG. 9A</figref>. <figref idref="DRAWINGS">FIG. 9E</figref> is a graph showing a radius of curvature according to a bending angle. As shown in <figref idref="DRAWINGS">FIG. 9A</figref>, a display device DD according to an exemplary embodiment of the inventive concepts includes a display panel DP, an outer member OSM, and a stress control member AM. The display panel DP, the outer member OSM, and the stress control member AM have thicknesses of T<b>100</b>, T<b>200</b>, and T<b>300</b>, respectively. When the display device DD is bent, the stress control member AM physically couples the display panel DP and the outer member OSM to each other.

0108When the display device DD is bent, the stress control member AM partially decouples a stress of the display panel DP and a stress of the outer member OSM from each other. Neutral planes NP<b>1</b> and NP<b>2</b> are defined in the display panel DP and the outer member OSM, respectively, when the display device DD is bent.

0109Third graphs GR<b>3</b>-<b>1</b> and GR<b>3</b>-<b>2</b> of <figref idref="DRAWINGS">FIG. 9B</figref> represent strains occurring in the display device DD. The third graphs GR<b>3</b>-<b>1</b> and GR<b>3</b>-<b>2</b> include strains occurring in six spots A<b>1</b>, A<b>2</b>, A<b>3</b>, A<b>4</b>, AN<b>1</b>, and AN<b>2</b>. The six spots A<b>1</b>, A<b>2</b>, A<b>3</b>, A<b>4</b>, AN<b>1</b>, and AN<b>2</b> are disposed on a reference line RA extending from a bending axis AX and is perpendicular to a display surface DS of the display panel DP.

0110Since the stress of the display panel DP is partially decoupled from the stress of the outer member OSM, a strain of the display surface of the display panel DP occurs by one of a compressive stress and a tensile stress, and a strain of an inner surface IS of the outer member OSM occurs by the other of the compressive stress and the tensile stress. A tensile strain occurs in the second spot A<b>2</b> disposed on the display surface DS of the display panel DP, and a compressive strain occurs in the third spot A<b>3</b> disposed on the inner surface IS of the outer member OSM.

0111The strain at the display surface DS of the display panel DP occurs by either one of the compressive stress or the tensile stress, and a strain at a non-display surface NDS of the display panel DP occurs by the other one of the compressive stress or the tensile stress. If a tensile strain occurs in the second spot A<b>2</b> disposed on the display surface DS, then a compressive strain occurs in the first spot A<b>1</b> disposed on the non-display surface.

0112The strain at the inner surface IS of the outer member OSM occurs by either one of the compressive stress or the tensile stress, and a strain at an outer surface OS of the outer member OSM occurs by the other one of the compressive stress or the tensile stress. If a compressive strain occurs in the third spot A<b>3</b> disposed on the inner surface IS, a tensile strain occurs in the fourth spot A<b>4</b> disposed on the outer surface OS of the outer member OSM. Substantial strains do not occur in the fifth and sixth spots AN<b>1</b> and AN<b>2</b>.

0113Since the outer member OSM is disposed outside the bent display device DD and the display panel DP is disposed inside the bent display device DD, the tensile strain occurring in the fourth spot A<b>4</b> is greater than the tensile strain occurring in the second spot A<b>2</b>. For the same reason, the compressive strain occurring in the first spot A<b>1</b> is greater than the compressive strain occurring in the third spot A<b>3</b>. If the display device is bent in a direction opposite to the bending direction shown in <figref idref="DRAWINGS">FIG. 9A</figref>, a greater compressive strain occurs in the outer member OSM than in the display panel DP.

0114If four spots A<b>1</b>, A<b>2</b>, A<b>3</b>, and A<b>4</b> of <figref idref="DRAWINGS">FIGS. 9A and 9B</figref> are compared with the four spots SA<b>1</b>, SA<b>2</b>, SA<b>3</b>, and SA<b>4</b> of <figref idref="DRAWINGS">FIGS. 7A and 7B</figref>, the occurring strains of the display device DD according to an exemplary embodiment of the inventive concepts are smaller than those of the display device DD-S<b>1</b> shown in <figref idref="DRAWINGS">FIGS. 7A and 7B</figref>. More specifically, the first spot A<b>1</b> of <figref idref="DRAWINGS">FIG. 9B</figref> has a smaller compressive strain than that of the first spot SA<b>1</b> of <figref idref="DRAWINGS">FIG. 7B</figref>, and the fourth spot A<b>4</b> of <figref idref="DRAWINGS">FIG. 9B</figref> has a smaller tensile strain than that of the fourth spot SA<b>4</b> of <figref idref="DRAWINGS">FIG. 7B</figref> corresponding thereto. This is because the neutral planes NP<b>1</b> and NP<b>2</b> are formed in the display panel DP and the outer member OSM of the display device DD according to the exemplary embodiment, respectively.

0115Strains occurring in internal components of the display panel DP and the outer member OSM of <figref idref="DRAWINGS">FIGS. 9A and 9B</figref> are smaller than strains occurring in internal components of the display panel DP-S<b>1</b> and the outer member OSM-S<b>1</b> of <figref idref="DRAWINGS">FIGS. 7A and 7B</figref>. A strain affecting the thin film transistor TR-D or the organic light emitting diode OLED of <figref idref="DRAWINGS">FIG. 4</figref> is reduced, and therefore, damage to the thin film transistor TR-D and the organic light emitting diode OLED may also be reduced.

0116When the display device DD according to an exemplary embodiment of the inventive concepts is bent, the strain that occurs in the display device DD is a little greater than that in the display device DD-S<b>2</b> of <figref idref="DRAWINGS">FIGS. 8A and 8B</figref>. The first spot A<b>1</b> of <figref idref="DRAWINGS">FIG. 9B</figref> has a little greater compressive strain than that of the first spot SA<b>10</b> of <figref idref="DRAWINGS">FIG. 8B</figref>, and the fourth spot A<b>4</b> of <figref idref="DRAWINGS">FIG. 9B</figref> has a little greater tensile strain than that of the fourth spot SA<b>40</b> of <figref idref="DRAWINGS">FIG. 8B</figref>. However, the stress control member AM according to an exemplary embodiment of the inventive concepts may maintain the display panel DP and the outer member OSM physically coupled to each other even when the display device DD is bent. Thus, it is possible to prevent the problem that the display panel DP-S<b>2</b> and the outer member OSM-S<b>2</b> are physically separated from the adhesive member AM-S<b>2</b>, as described with reference to <figref idref="DRAWINGS">FIG. 8A</figref>.

0117Referring to <figref idref="DRAWINGS">FIG. 9C</figref>, a shear stress occurs within the stress control member AM when the display device DD is bent. The shear stress K is represented by the following equation 4. In the following equation 4, “RS” is defined as an area of a corresponding member SSM, and “RF” is defined as a force applied to the corresponding member SSM when the corresponding member SSM is bent.

0000<maths id="MATH-US-00004" num="00004"><math overflow="scroll"><mtable><mtr><mtd><mrow><mi>K</mi><mo>=</mo><mfrac><mi>RF</mi><mi>RS</mi></mfrac></mrow></mtd><mtd><mrow><mo>[</mo><mrow><mi>Equation</mi><mo></mo><mstyle><mspace width="0.8em" height="0.8ex" /></mstyle><mo></mo><mn>4</mn></mrow><mo>]</mo></mrow></mtd></mtr></mtable></math></maths>

0118The stress control member AM may be deformed from the shear stress corresponding to a shear modulus. A deformation rate of the stress control member AM may be represented by a shear strain. The shear strain SS is expressed by the following equation 5. In the following equation 5, “TH” is defined as a thickness of the corresponding member SSM, and “ΔX” is defined as a displacement occurring in a direction parallel to a direction the force RF applied to the corresponding member SSM.

0000<maths id="MATH-US-00005" num="00005"><math overflow="scroll"><mtable><mtr><mtd><mrow><mi>SS</mi><mo>=</mo><mfrac><mrow><mi>Δ</mi><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mi>X</mi></mrow><mi>TH</mi></mfrac></mrow></mtd><mtd><mrow><mo>[</mo><mrow><mi>Equation</mi><mo></mo><mstyle><mspace width="0.8em" height="0.8ex" /></mstyle><mo></mo><mn>5</mn></mrow><mo>]</mo></mrow></mtd></mtr></mtable></math></maths>

0119The shear strain SS is equal to a tan θ. The θ is an angle shown in <figref idref="DRAWINGS">FIG. 9C</figref>.

0120Since the stress control member AM is deformed when the shear stress us applied corresponding to its shear strain, the compressive stress and the tensile stress of the display panel DP may be partially decoupled from those of the outer member OSM, as described with reference to <figref idref="DRAWINGS">FIGS. 9A and 9B</figref>.

0121A shear strain range of the stress control member AM will be described with reference to <figref idref="DRAWINGS">FIGS. 9D and 9E</figref>.

0122As shown in <figref idref="DRAWINGS">FIG. 9D</figref>, the shear strain of the stress control member AM, which occurs when the stress control member AM is bent, may be measured using a member including the stress control member AM and first and second function layers FL<b>1</b> and FL<b>2</b>. The first and second function layers FL<b>1</b> and FL<b>2</b> have material properties similar to those of the display panel DP and the outer member OSM, respectively. The strains of the first and second function layers FL<b>1</b> and FL<b>2</b> may be measured using the method described with reference to <figref idref="DRAWINGS">FIG. 7C</figref>, and a bending angle at which the neutral plane is defined may be calculated in consideration of variation of the strain. The displacement AX of the stress control member AM may be measured when the neutral plane is defined.

0123According to graphs shown in <figref idref="DRAWINGS">FIG. 9D</figref>, the neutral planes are respectively defined in the first and second function layers FL<b>1</b> and FL<b>2</b> at the bending angle of about 80 degrees. At the bending angle of about 80 degrees, a strain measured by a silicon pattern SCP<b>2</b> disposed on a upper surface of a top surface of the first function layer FL<b>1</b> is reversed from a compressive strain to a tensile strain and, a strain measured by a silicon pattern SCP<b>3</b> disposed on a bottom surface of the second function layer FL<b>2</b> is reversed from a tensile strain to a compressive strain.

0124Referring to <figref idref="DRAWINGS">FIG. 9E</figref>, the bending angle may be converted into a radius of curvature. The bending angle of about 80 degrees corresponds to the radius of curvature of about 20 mm. In this case, the measured shear strain of the stress control member AM is about 170%, as shown in the following table 1. The shear strain of 170% is the maximum shear strain occurring at the bending angle of about 80 degrees. The shear strain occurring at the bending angle of about 80 degrees may be varied depending on a distance from a bending center CT shown in <figref idref="DRAWINGS">FIG. 11A</figref>.

0125A unit of measure of the shear strain is %. The shear strain of 100% means that the displacement ΔX of the stress control member AM is equal to the thickness of the stress control member AM. Additionally, the stress control member AM has the shear strain of about 289% at the bending angle of about 180 degrees at the radius of curvature of about 3 mm. Values shown in the following table 1 are mean values obtained by performing a plurality experiments, and the experimental error is about 10%.

0000<tables id="TABLE-US-00001" num="00001"><table frame="none" colsep="0" rowsep="0"><tgroup align="left" colsep="0" rowsep="0" cols="6"><colspec colname="1" colwidth="91pt" align="left" /><colspec colname="2" colwidth="28pt" align="center" /><colspec colname="3" colwidth="28pt" align="center" /><colspec colname="4" colwidth="21pt" align="center" /><colspec colname="5" colwidth="28pt" align="center" /><colspec colname="6" colwidth="21pt" align="center" /><thead><row><entry namest="1" nameend="6" rowsep="1">TABLE 1</entry></row><row><entry namest="1" nameend="6" align="center" rowsep="1" /></row><row><entry>Bending angle (°)</entry><entry>80</entry><entry>90</entry><entry>120</entry><entry>180</entry><entry>180</entry></row><row><entry namest="1" nameend="6" align="center" rowsep="1" /></row></thead><tbody valign="top"><row><entry /></row></tbody></tgroup><tgroup align="left" colsep="0" rowsep="0" cols="6"><colspec colname="1" colwidth="91pt" align="left" /><colspec colname="2" colwidth="28pt" align="char" char="." /><colspec colname="3" colwidth="28pt" align="char" char="." /><colspec colname="4" colwidth="21pt" align="char" char="." /><colspec colname="5" colwidth="28pt" align="char" char="." /><colspec colname="6" colwidth="21pt" align="char" char="." /><tbody valign="top"><row><entry>Radius of curvature (mm)</entry><entry>20</entry><entry>16</entry><entry>10</entry><entry>5</entry><entry>3</entry></row><row><entry>Maximum shear strain (%)</entry><entry>170</entry><entry>178</entry><entry>213</entry><entry>271</entry><entry>289</entry></row><row><entry>Distance from bending</entry><entry>34</entry><entry>34</entry><entry>18</entry><entry>8</entry><entry>6</entry></row><row><entry>center (mm)</entry></row><row><entry namest="1" nameend="6" align="center" rowsep="1" /></row></tbody></tgroup></table></tables>

0126The bending angle and the radius of curvature may be varied according to an exemplary embodiment of the flexible display device. According to an exemplary embodiment, when the flexible display device may be bent at the bending angle of 180 degrees with the radius of curvature of about 20 mm, the strain occurring in the stress control member AM may be about 170%. Thus, the table 1 may be expanded to another bending angle at the corresponding radius of curvature

0127As a result, the stress control member AM has the maximum shear strain of at least about 150% at the radius of curvature of about 20 mm or less in order to partially decouple the compressive stresses and the tensile stresses of adjacent members from each other. The maximum shear strain is a value in consideration of the experimental error.

0128When the display device DD is bent, the display panel DP and the outer member OSM may be plastically deformed. This means that the display device DD is damaged. A strain that may plastically deform the display panel DP and the outer member OSM is defined as a limit shear strain. Generally, the outer member OSM (e.g., the touch panel, the optical member, the window member, or the protecting member) as well as the display panel DP may have a limit shear strain of about 10%.

0129In order to avoid the limit shear strain from occurring in the display pane DP and the outer member OSM when the display device DD is bent, a bent portion of the stress control member AM where the maximum shear strain occurs may have a shear strain of about 150% or more. The stress control member AM may be sufficiently deformed to partially decouple the stress of the display panel DP from the stress of the outer member OSM.

0130The shear strain of the stress control member AM may be determined depending on the shear modulus of the stress control member AM and the shear stress applied to the stress control member AM when the stress control member AM is bent. The shear modulus may be determined depending on compositions included in the stress control member AM and ratios of the compositions. The shear stress applied to the stress control member AM may also be determined depending on the thickness and the radius of curvature of the display device DD. Additionally, the shear strain of the stress control member AM may be affected by a bending speed. Hereinafter, determinants of the shear strain will be described with reference to <figref idref="DRAWINGS">FIGS. 10A to 10C</figref> in more detail.

0131<figref idref="DRAWINGS">FIGS. 10A</figref>, <b>10</b>B, and <b>10</b>C are graphs showing strains according to a modulus and a bending speed of a stress control member. The graphs shown in <figref idref="DRAWINGS">FIGS. 10A</figref>, <b>10</b>B, and <b>10</b>C represent strains of experimental members of which each includes five stress control members with four function layers FL<b>10</b> to FL<b>40</b> respectively disposed there between. The graphs shown in <figref idref="DRAWINGS">FIGS. 10A</figref>, <b>10</b>B, and <b>10</b>C represent strains measured at the same radius of curvature.

0132First to fifth graphs G-L<b>1</b>, G-L<b>2</b>, G-L<b>3</b>, G-L<b>4</b>, and G-L<b>5</b> of <figref idref="DRAWINGS">FIG. 10A</figref> represent strains corresponding to bending speeds of an exemplary experimental member including stress control members AM-L<b>1</b> to AM-L<b>5</b> with low modulus. The modulus of the stress control members AM-L<b>1</b> to AM-L<b>5</b> may be, for example, 600 MPa. The bending speed is determined according to an angle changed per second. The first to fifth graphs G-L<b>1</b>, G-L<b>2</b>, G-L<b>3</b>, G-L<b>4</b>, and G-L<b>5</b> represent strains of experimental members respectively bent at bending speeds of 10 degrees per second, 18 degrees per second, 45 degrees per second, 90 degrees per second, and 180 degrees per second.

0133First to fifth graphs G-M<b>1</b>, G-M<b>2</b>, G-M<b>3</b>, G-M<b>4</b>, and G-M<b>5</b> of <figref idref="DRAWINGS">FIG. 10B</figref> represent strains corresponding to bending speeds of an exemplary experimental member including stress control members AM-M<b>1</b> to AM-with a middle modulus. The modulus of the stress control members AM-M<b>1</b> to AM-M<b>5</b> may be, for example, 800 MPa. The first to fifth graphs G-M<b>1</b>, G-M<b>2</b>, G-M<b>3</b>, G-M<b>4</b>, and G-M<b>5</b> represent strains of experimental members respectively bent at bending speeds of 10 degrees per second, 18 degrees per second, 45 degrees per second, 90 degrees per second, and 180 degrees per second.

0134First to third graphs G-H<b>1</b>, G-H<b>2</b>, and G-H<b>3</b> of <figref idref="DRAWINGS">FIG. 10C</figref> represent strains corresponding to bending speeds of an exemplary experimental member including stress control members AM-H<b>1</b> to AM-H<b>5</b> with high modulus. The modulus of the stress control members AM-H<b>1</b> to AM-H<b>5</b> may be, for example, 1000 MPa. The first to third graphs G-H<b>1</b>, G-H<b>2</b>, and G-H<b>3</b> represent strains of experimental members respectively bent at bending speeds of 10 degrees per second, 18 degrees per second, and 45 degrees per second.

0135Referring to <figref idref="DRAWINGS">FIG. 10A</figref>, the stress control members AM-L<b>1</b> to AM-L<b>5</b> with low modulus generate neutral planes in the adjacent function layers FL<b>10</b> to FL<b>40</b> regardless of their positions and bending speed. Portions, in which the maximum shear strains occur, of bent portions of the stress control members AM-L<b>1</b> to AM-L<b>5</b> have the shear strain of about 150% or more.

0136Referring to <figref idref="DRAWINGS">FIG. 10B</figref>, some of the stress control members AM-M<b>1</b> to AM-M<b>5</b> with middle modulus may define neutral planes in the adjacent function layers according to their positions. Only a stress control member AM-M<b>3</b> disposed in the center of the stress control members AM-M<b>1</b> to AM-M<b>5</b> generated neutral planes in the adjacent function layers FL<b>20</b> and FL<b>30</b> regardless of the bending speed. A portion, in which the maximum shear strain occurs, of a bent portion of the centered stress control member AM-M<b>3</b> has the shear strain of about 150% or more.

0137Referring to <figref idref="DRAWINGS">FIG. 10C</figref>, the stress control members AM-H<b>1</b> to AM-H<b>5</b> with high modulus may define neutral planes in the adjacent function layers according to their bending speed as well as their positions. Only a stress control member AM-H<b>3</b> disposed in the center of the stress control members AM-H<b>1</b> to AM-H<b>5</b> generated the neutral planes in the adjacent function layers FL <b>20</b> and <b>30</b> at the bending speed of 10 degrees per second. A portion, in which the maximum shear strain occurs, of a bent portion of the centered stress control member AM-H<b>3</b> has the shear strain of about 150% or more at the bending speed of 10 degrees per second.

0138<figref idref="DRAWINGS">FIG. 11A</figref> is an image showing a cross-section of a bent exemplary experimental member. <figref idref="DRAWINGS">FIG. 11B</figref> is a graph showing a strain occurring in an experimental member shown in <figref idref="DRAWINGS">FIG. 11A</figref>.

0139An experimental member SM-DD shown in <figref idref="DRAWINGS">FIG. 11A</figref> includes a first function layer FL<b>100</b>, a second function layer FL<b>200</b>, and a stress control member AM disposed there between. The first function layer FL<b>100</b> and the second function layer FL<b>200</b> have material properties similar to those of the display panel DP and the outer member OSM, respectively.

0140The experimental member SM-DD is bent at certain area. When the experimental member SM-DD is bent, it may be divided into a bent area BA, a first planar area PA<b>1</b>, and a second planar area PA<b>2</b>.

0141<figref idref="DRAWINGS">FIG. 11A</figref> shows images of three spots SP<b>1</b>, SP<b>2</b>, and SP<b>3</b> spaced apart from a center spot CT of the bent area BA. A first spot SP<b>1</b> is spaced apart from the center spot CT by 10 mm, and a second spot SP<b>2</b> is spaced apart from the center spot CT by 22 mm. A third spot SP<b>3</b> is spaced apart from the center spot CT by 54 mm. Among the three spots SP<b>1</b>, SP<b>2</b>, and SP<b>3</b>, the greatest shear strain occurs in the first spot SP<b>1</b>, and the smallest shear strain occurs in the third spot SP<b>3</b>.

0142According to a graph GR-AM shown in <figref idref="DRAWINGS">FIG. 11B</figref>, the greatest shear strain occurs in the first spot SP<b>1</b>. When the experimental member SM-DD is bent, the maximum shear strain of the stress control member AM in the first spot SP<b>1</b> is about 360%, which is greater than 150% described above. When the experimental member SM-DD is bent, the stress control member AM maintains the first function layer FL<b>100</b> and the second function FL<b>200</b> physically coupled to each other and partially decouples the stress of the first function FL<b>100</b> from the stress of the second function layer FL<b>200</b>. Even though not shown in the drawings, the neutral planes are defined in the first function layer FL<b>100</b> and the second function layer FL<b>200</b> in the bent area BA, respectively.

0143<figref idref="DRAWINGS">FIG. 12</figref> is a side view showing a display device according to an exemplary embodiment of the inventive concepts. <figref idref="DRAWINGS">FIG. 13</figref> is a graph showing a strain occurring in the display device shown in <figref idref="DRAWINGS">FIG. 12</figref>. <figref idref="DRAWINGS">FIGS. 14A</figref>, <b>14</b>B, and <b>14</b>C are graphs showing shear strains of stress control members shown in <figref idref="DRAWINGS">FIG. 12</figref>. Hereinafter, a display device according to the exemplary embodiment will be described with reference to <figref idref="DRAWINGS">FIGS. 12</figref>, <b>13</b>, <b>14</b>A, <b>14</b>B, and <b>14</b>C. In the exemplary embodiment, the descriptions to the same elements as described with reference to <figref idref="DRAWINGS">FIGS. 1 to 11B</figref> will be omitted or mentioned briefly for the purpose of ease and convenience in explanation.

0144Referring to <figref idref="DRAWINGS">FIG. 12</figref>, a display device DD<b>10</b> includes a display panel DP, a protecting member PF disposed on a non-display surface NDS of the display panel DP, a touch panel TSP, an optical member LF, and a window member WM. The touch panel TSP, the optical member LF, and the window member WM are sequentially stacked on a display surface DS of the display panel DP.

0145The protecting member PF may be a flexible plastic film. The protecting member PF may have a multi-layered structure. The optical member LF may include a polarization member and a phase difference compensation member. The window member WM may include at least one of a flexible plastic film and a thin glass substrate. The window member WM may have a multi-layered structure.

0146The touch panel TSP and the optical member LF may be combined with each other by a hard adhesive. In an exemplary embodiment, the optical member LF may be replaced with the second base layer BL<b>2</b> of <figref idref="DRAWINGS">FIG. 5</figref>. In other words, the touch panel TSP and the optical member LF may be combined to form a single touch panel layer.

0147Each of the first to third stress control members AM<b>1</b>, AM<b>2</b>, and AM<b>3</b> is respectively disposed between the protecting member PF, the display panel DP, the touch panel layer, and the window member WM. Each of the first to third stress control members AM<b>1</b>, AM<b>2</b>, and AM<b>3</b> physically couples two adjacent members. Additionally, each of the first to third stress control members AM<b>1</b>, AM<b>2</b>, and AM<b>3</b> may partially decouple the stresses of the two adjacent members from each other. Functions of each of the first to third stress control members AM<b>1</b>, AM<b>2</b>, and AM<b>3</b> to the adjacent two members are the substantially the same as those of the stress control member AM described with reference to <figref idref="DRAWINGS">FIGS. 9A</figref>, <b>9</b>B, and <b>9</b>C.

0148When the display device DD<b>10</b> is bent such that different portions of the window member WM face each other, strains of graphs GR-<b>1</b>, GR<b>2</b>, GR-<b>3</b>, and GR-<b>4</b> of <figref idref="DRAWINGS">FIG. 13</figref> occur in the display device DD<b>10</b>. When the display device DD<b>10</b> is bent, neutral planes NP occurs in the protecting member PF, the display panel DP, the touch panel layer, and the window member WM, respectively.

0149The maximum compressive strains and the maximum tensile strains occurring in the protecting member PF, the display panel DP, the touch panel layer, and the window member WM may have different values according to their thicknesses.

0150The graphs GR-<b>1</b>, GR<b>2</b>, GR-<b>3</b>, and GR-<b>4</b> represent strains of members having thicknesses described below. A thickness of the protecting member PF is 50 μm, and a thickness of the display panel DP is 33 μm. A thickness of the touch panel layer is 112 μm, and a thickness of the window member WM is 100 μm. Thicknesses of the first to third stress control members AM<b>1</b>, AM<b>2</b>, and AM<b>3</b> are 25 μm, 10 μm, and 50 μm, respectively.

0151A graph GR-AM<b>1</b> in <figref idref="DRAWINGS">FIG. 14A</figref> represents shear strains of the first stress control member AM<b>1</b>, and a graph GR-AM<b>2</b> in <figref idref="DRAWINGS">FIG. 14B</figref> represents shear strains of the second stress control member AM<b>2</b>. A graph GR-AM<b>3</b> in <figref idref="DRAWINGS">FIG. 14C</figref> represents shear strains of the third stress control member AM<b>3</b>. Each of the graphs GR-AM<b>1</b>, GR-AM<b>2</b>, and GR-AM<b>3</b> represents shear strains of spots corresponding to the first to third spots SP<b>1</b>, SP<b>2</b>, and SP<b>3</b> with reference to <figref idref="DRAWINGS">FIG. 11A</figref>.

0152According to the graphs GR-AM<b>1</b>, GR-AM<b>2</b>, and GR-AM<b>3</b>, the greatest shear strain occurs in the first spot SP<b>1</b>. Each of the maximum shear strains of the first to third stress control members AM<b>1</b>, AM<b>2</b>, and AM<b>3</b> has a value of 150% or more when the display device DD<b>10</b> is bent. Thus, the protecting member PF, the display panel DP, the one united optical member LF and touch panel TSP, and the window member WM may not be damaged when the display device DD<b>10</b> is bent.

0153<figref idref="DRAWINGS">FIGS. 15A</figref>, <b>15</b>B, <b>15</b>C, <b>15</b>D, and <b>15</b>E are side views showing display devices according to some exemplary embodiments of the inventive concepts. Display devices of <figref idref="DRAWINGS">FIGS. 15A</figref>, <b>15</b>B, <b>15</b>C, <b>15</b>D, and <b>15</b>E have stack structures different from that of the display device of <figref idref="DRAWINGS">FIG. 12</figref>. Hereinafter, the stack structures of the display devices will be mainly described with reference to <figref idref="DRAWINGS">FIGS. 15A</figref>, <b>15</b>B, <b>15</b>C, <b>15</b>D, and <b>15</b>E. In the following exemplary embodiments, the descriptions to the same elements as described with reference to <figref idref="DRAWINGS">FIGS. 1 to 14C</figref> will be omitted or mentioned briefly for explanation purpose.

0154A display device DD<b>20</b> of <figref idref="DRAWINGS">FIG. 15A</figref> may further include a stress control member AM disposed between the touch panel TSP and the optical member LF. Additionally, the display device DD<b>20</b> may further include a functional layer CF coated on a top surface of the window member WM. The functional layer CF may include at least one of an anti-finger coating layer, an anti-reflection coating layer, an anti-glare coating layer, and a hard coating layer.

0155The optical member LF may be omitted, referring to a display device DD<b>30</b> shown in <figref idref="DRAWINGS">FIG. 15B</figref>. The touch panel TSP may be omitted, referring to a display device DD<b>40</b> shown in <figref idref="DRAWINGS">FIG. 15C</figref>. The protecting member PF may be omitted, referring to a display device DD<b>50</b> shown in <figref idref="DRAWINGS">FIG. 15D</figref>. The touch panel TSP may be disposed between the protecting member PF and the display panel DP, referring a display device DD<b>60</b> shown in <figref idref="DRAWINGS">FIG. 15E</figref>.

0156As described above, different neutral planes may be defined in the flexible display panel and the flexible outer member when the flexible display device is bent. This is because the stress of the flexible display panel is partially decoupled from the stress of the flexible outer member by the stress control member when the flexible display device is bent.

0157The strains occurring in the display panel and the flexible outer member have values corresponding to their thicknesses when the flexible display device is bent. The value corresponding to the thickness of each of the display panel and the flexible outer member or a little greater value than the value is smaller than a value corresponding to the thickness of the flexible display device. Thus, even though the flexible display device is bent, it is possible to reduce the damage to the internal components (e.g., the thin film transistor, the organic light emitting diode, and a conductive layer) of the flexible display panel and the flexible outer member.

0158While the inventive concepts have been described with reference to exemplary embodiments, it will be apparent to those skilled in the art that various changes and modifications may be made without departing from the spirits and scopes of the inventive concepts. Therefore, it should be understood that the above embodiments are not limiting, but illustrative. Thus, the scopes of the inventive concepts are to be determined by the broadest permissible interpretation of the following claims and their equivalents, and shall not be restricted or limited by the foregoing description.