Global and local interactive buckling behavior of a stiff film/compliant substrate system

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:102

Article

Wang, C. G.^1,2  Liu, Y. P.¹  Tan, H. F.^1,2 

[1] Harbin Inst Technol, Ctr Composite Mat, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Natl Key Lab Sci & Technol Adv Composites Special, Harbin 150080, Peoples R China

关键词: Global and local buckling;    Thin film;    Second bifurcation;    Snap-back;    Path-following technique;   

DOI  :  10.1016/j.ijsolstr.2016.10.006

来源: Elsevier

【 摘 要 】

This paper elucidates the global and local interactive buckling behavior of a stiff film resting on a compliant substrate under uniaxial compression. The resulting governing non-linear equations (non-autonomous fourth-order ordinary differential nonlinear equations with integral conditions) are then solved by introducing a continuation algorithm, which offers considerable advantages to detect multiple bifurcations and trace a complex post-buckling path. The critical conditions for local and global buckling and respective post-buckling equilibrium paths are carefully studied. Two different evolution mechanisms of buckling modes and processes from destabilization to restabilization (snap-back) are observed beyond the onset of the primary sinusoidal wrinlding mode in the post-buckling range. In addition, the shear modulus of an orthotropic substrate acts as a dominant role in the bifurcation portrait. Our results offer better understanding of the global and local buckling behaviors of such a bilayer system, and can open up new opportunities for the design and applications of novel nanoelectronics. (C) 2016 Elsevier Ltd. All rights reserved.

【 授权许可】

Free