Buckling and postcritical behaviour of the elastic infinite plate strip resting on linear elastic foundation

Abstract

In this paper the von Kármán model for thin, elastic, infinite plate strip resting on a linear elastic foundation of Winkler type is studied. The infinite plate strip is simply-supported and subjected to evenly distributed compressive loads. The critical values of bifurcation parameters and buckling modes for given frequency of longitudinal waves are found on the basis of investigation of linearized problem. The mathematical nonlinear model is reduced to operator equation with Fredholm type operator of index 0 depending on parameters defined in corresponding Hölder spaces. The Lyapunov-Schmidt reduction and the Crandall-Rabinowitz bifurcation theorem (gradient case) are used to examine the postcritical behaviour of the plate. It is proved that there exists maximal frequency of longitudinal waves depending on the compressive load and the stiffness modulus of foundation.  2004 Elsevier Inc. All rights reserved.

Pop-Up Delamination of Electrodes in Solid-State Batteries

“…[29][30][31][32] For a stiff film and a compliant substrate, it is known that compressive stresses may cause wrinkling and pop-up delamination of the film from the substrate. [33][34][35][36][37][38] Here, we investigate the pop-up delamination of electrodes in solid-state batteries. An electrode in a liquid electrolyte delaminates from its current collector and pops up due to the lithiation induced compressive stress.…”