The mode-coupling of a stiff film/compliant substrate system in the post-buckling range

doi:10.1016/j.ijsolstr.2014.10.028

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	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)
发表期刊	International Journal of Solids and Structures
	2015-01
卷号	53 页码:28-37
ISSN	0020-7683
摘要	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.
关键词	Period-doubling Mode-coupling Perturbation Method Substrate Nonlinearities Buckling/post-buckling
学科领域	固体力学
DOI	10.1016/j.ijsolstr.2014.10.028
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000347594300003
关键词[WOS]	THIN-FILMS ; COMPLIANT SUBSTRATE ; ELASTOMERIC POLYMER ; ELASTIC STRUCTURE ; INSTABILITY ; PATTERNS ; ELECTRONICS ; FOUNDATION ; WRINKLES ; SURFACE
WOS研究方向	Mechanics
WOS类目	Mechanics
项目资助者	The research has been supported by the National Natural Science Foundation of China (NSFC Nos. 11023001 and 11372321).
课题组名称	LNM纳/微系统力学与物理力学
论文分区	一类/力学重要期刊
引用统计	被引频次：28[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/49305
专题	非线性力学国家重点实验室
通讯作者	Zhang Y(张吟)
推荐引用方式 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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