Buckling of a stiff thin film on a compliant substrate under anisotropic biaxial prestrain
The structure of stretchable electronics is based on the buckling of a thin film on a compliant substrate. Under anisotropic bi- axial prestrains, this structure may buckle into several patterns, including cylindrical, checkerboard, and undulating patterns. The displacement and energy of each patter...
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| Veröffentlicht in: | Science China. Physics, mechanics & astronomy mechanics & astronomy, 2016-02, Vol.59 (2), p.57-66, Article 624601 |
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| container_end_page | 66 |
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| container_issue | 2 |
| container_start_page | 57 |
| container_title | Science China. Physics, mechanics & astronomy |
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| creator | Ou, ZhiCheng Yao, XiaoHu Zhang, XiaoQing Fan, XueJun |
| description | The structure of stretchable electronics is based on the buckling of a thin film on a compliant substrate. Under anisotropic bi- axial prestrains, this structure may buckle into several patterns, including cylindrical, checkerboard, and undulating patterns. The displacement and energy of each pattern are deduced analytically. By comparing their minimum potential energies, the critical buckling condition of each pattern is determined. After secondary bifurcation, the checkerboard pattern occurs just above the critical prestrains, but the undulating pattern dominates other regions. The buckling amplitude and wavenumber of the undulating pattern are shown under biaxial prestrains. Even if the structure is under equi-biaxial prestrains, it may buckle into an asymmetric undulating pattern. |
| doi_str_mv | 10.1007/s11433-015-5696-1 |
| format | Article |
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Under anisotropic bi- axial prestrains, this structure may buckle into several patterns, including cylindrical, checkerboard, and undulating patterns. The displacement and energy of each pattern are deduced analytically. By comparing their minimum potential energies, the critical buckling condition of each pattern is determined. After secondary bifurcation, the checkerboard pattern occurs just above the critical prestrains, but the undulating pattern dominates other regions. The buckling amplitude and wavenumber of the undulating pattern are shown under biaxial prestrains. Even if the structure is under equi-biaxial prestrains, it may buckle into an asymmetric undulating pattern.</description><identifier>ISSN: 1674-7348</identifier><identifier>EISSN: 1869-1927</identifier><identifier>DOI: 10.1007/s11433-015-5696-1</identifier><language>eng</language><publisher>Beijing: Science China Press</publisher><subject>Astronomy ; Buckling ; Classical and Continuum Physics ; Observations and Techniques ; Pattern analysis ; Physics ; Physics and Astronomy ; Substrates ; Thin films ; Wavelengths ; 僵硬 ; 双轴向 ; 各向异性 ; 屈曲 ; 柔性衬底 ; 电子结构 ; 薄膜 ; 预应变</subject><ispartof>Science China. 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Physics, mechanics & astronomy</title><addtitle>Sci. China Phys. Mech. Astron</addtitle><addtitle>SCIENCE CHINA Physics, Mechanics ＆ Astronomy</addtitle><description>The structure of stretchable electronics is based on the buckling of a thin film on a compliant substrate. Under anisotropic bi- axial prestrains, this structure may buckle into several patterns, including cylindrical, checkerboard, and undulating patterns. The displacement and energy of each pattern are deduced analytically. By comparing their minimum potential energies, the critical buckling condition of each pattern is determined. After secondary bifurcation, the checkerboard pattern occurs just above the critical prestrains, but the undulating pattern dominates other regions. The buckling amplitude and wavenumber of the undulating pattern are shown under biaxial prestrains. Even if the structure is under equi-biaxial prestrains, it may buckle into an asymmetric undulating pattern.</description><subject>Astronomy</subject><subject>Buckling</subject><subject>Classical and Continuum Physics</subject><subject>Observations and Techniques</subject><subject>Pattern analysis</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Substrates</subject><subject>Thin films</subject><subject>Wavelengths</subject><subject>僵硬</subject><subject>双轴向</subject><subject>各向异性</subject><subject>屈曲</subject><subject>柔性衬底</subject><subject>电子结构</subject><subject>薄膜</subject><subject>预应变</subject><issn>1674-7348</issn><issn>1869-1927</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kDtLBDEQxxdRUNQPYBe0Xs3knVLFFwg22tiEuNnc5dxL1mQX9Nub40Q7p5lh-D_g1zQngM8BY3lRABilLQbecqFFCzvNASihW9BE7tZbSNZKytR-c1zKCtehGjPJDprXq7l7H0JcoOSRRWUK3qNpGSLyYVijFOuzS-txCDZOqMxvZcp26tEcXZ-RjaGkKacxdOgt2M9gBzTmfqMJ8ajZ83Yo_fHPPmxebm-er-_bx6e7h-vLx7Yjmk-tI8Jppb3yzFLPuPNAsCNaU95pwIo6CZKCAsuIJ5w7LjupwQnuhHPU0cPmbJs75vQx13KzSnOOtdIQXTGAUppVFWxVXU6l5N6bMYe1zV8GsNlQNFuKplI0G4oGqodsPaVq46LPf8n_mU5_ipYpLj6q77dJCKmwJkLTb5O6f7U</recordid><startdate>20160201</startdate><enddate>20160201</enddate><creator>Ou, ZhiCheng</creator><creator>Yao, XiaoHu</creator><creator>Zhang, XiaoQing</creator><creator>Fan, XueJun</creator><general>Science China Press</general><general>Springer Nature B.V</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope></search><sort><creationdate>20160201</creationdate><title>Buckling of a stiff thin film on a compliant substrate under anisotropic biaxial prestrain</title><author>Ou, ZhiCheng ; Yao, XiaoHu ; Zhang, XiaoQing ; Fan, XueJun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c295t-d26d989f8f4a3f45df120d29935c91083d7173181a42f255d57c791d65d6dd3d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Astronomy</topic><topic>Buckling</topic><topic>Classical and Continuum Physics</topic><topic>Observations and Techniques</topic><topic>Pattern analysis</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Substrates</topic><topic>Thin films</topic><topic>Wavelengths</topic><topic>僵硬</topic><topic>双轴向</topic><topic>各向异性</topic><topic>屈曲</topic><topic>柔性衬底</topic><topic>电子结构</topic><topic>薄膜</topic><topic>预应变</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ou, ZhiCheng</creatorcontrib><creatorcontrib>Yao, XiaoHu</creatorcontrib><creatorcontrib>Zhang, XiaoQing</creatorcontrib><creatorcontrib>Fan, XueJun</creatorcontrib><collection>维普_期刊</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>维普中文期刊数据库</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>ProQuest advanced technologies & aerospace journals</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering collection</collection><jtitle>Science China. 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Under anisotropic bi- axial prestrains, this structure may buckle into several patterns, including cylindrical, checkerboard, and undulating patterns. The displacement and energy of each pattern are deduced analytically. By comparing their minimum potential energies, the critical buckling condition of each pattern is determined. After secondary bifurcation, the checkerboard pattern occurs just above the critical prestrains, but the undulating pattern dominates other regions. The buckling amplitude and wavenumber of the undulating pattern are shown under biaxial prestrains. Even if the structure is under equi-biaxial prestrains, it may buckle into an asymmetric undulating pattern.</abstract><cop>Beijing</cop><pub>Science China Press</pub><doi>10.1007/s11433-015-5696-1</doi><tpages>10</tpages></addata></record> |
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| subjects | Astronomy Buckling Classical and Continuum Physics Observations and Techniques Pattern analysis Physics Physics and Astronomy Substrates Thin films Wavelengths 僵硬 双轴向 各向异性 屈曲 柔性衬底 电子结构 薄膜 预应变 |
| title | Buckling of a stiff thin film on a compliant substrate under anisotropic biaxial prestrain |
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