| The mode-coupling of a stiff film/compliant substrate system in the post-buckling range | |
Zhuo LJ(卓立军) ; Zhang Y(张吟); Zhang Y(张吟)
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| Source Publication | International Journal of Solids and Structures
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| 2015-01 | |
| Volume | 53Pages:28-37 |
| ISSN | 0020-7683 |
| Abstract | A compressed stiff film/compliant substrate system undergoes a morphology transition from wrinkling to period-doubling. The perturbation method is used to obtain the approximate analytical solution incorporating both the quadratic and cubic nonlinearities of the substrate, which have a significant effect on the post-buckling behavior of the system. Based on the perturbation method, the post-buckling equilibrium path of the system is presented with the multi-modal analysis, and two bifurcation points appear on the stable equilibrium path. The wrinkling instability occurs at the first bifurcation point, where the uncoupled path bifurcates from the fundamental unbuckled state. Under further compression, the period-doubling instability occurs at the second bifurcation point due to the coupling of different modes, which is referred to as the mode coupling. The two-mode analysis shows that the coupled equilibrium path is hyperbola-like and there exists a stable branch which bifurcates from the primary uncoupled path. When more modes are included, the model is more accurate to predict the critical strain of the period-doubling bifurcation and the evolution of the amplitudes. |
| Keyword | Period-doubling Mode-coupling Perturbation Method Substrate Nonlinearities Buckling/post-buckling |
| Subject Area | 固体力学 |
| DOI | 10.1016/j.ijsolstr.2014.10.028 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000347594300003 |
| WOS Keyword | THIN-FILMS ; COMPLIANT SUBSTRATE ; ELASTOMERIC POLYMER ; ELASTIC STRUCTURE ; INSTABILITY ; PATTERNS ; ELECTRONICS ; FOUNDATION ; WRINKLES ; SURFACE |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Organization | The research has been supported by the National Natural Science Foundation of China (NSFC Nos. 11023001 and 11372321). |
| Department | LNM纳/微系统力学与物理力学 |
| Classification | 一类/力学重要期刊 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/49305 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Zhang Y(张吟) |
| Recommended Citation GB/T 7714 | Zhuo LJ,Zhang Y,Zhang Y. The mode-coupling of a stiff film/compliant substrate system in the post-buckling range[J]. International Journal of Solids and Structures,2015,53:28-37. |
| APA | Zhuo LJ,Zhang Y,&张吟.(2015).The mode-coupling of a stiff film/compliant substrate system in the post-buckling range.International Journal of Solids and Structures,53,28-37. |
| MLA | Zhuo LJ,et al."The mode-coupling of a stiff film/compliant substrate system in the post-buckling range".International Journal of Solids and Structures 53(2015):28-37. |
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