Global and local interactive buckling behavior of a stiff film/compliant substrate system
Wang, C. G., Y. P. Liu, and H. F. Tan. “Global and Local Interactive Buckling Behavior of a Stiff Film/Compliant Substrate System.” International Journal of Solids and Structures 102–103 (December 15, 2016): 176–85. http://doi.org/10.1016/j.ijsolstr.2016.10.006.
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 intro-ducing 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 wrinkling 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.