The Initiation of Inhomogeneous Deformation in Thin Plate under Biaxial Tension

Abstract

The initiation of inhomogeneous deformation which occurs in a rectangular elastic-plastic thin plate under biaxial tension with arbitrary stress ratio is studied as a bifurcation problem. A simple solution for the approximate bifurcation stress is obtained on basis of Hill's theorem of the uniqueness of solution. Influences of the stress on inhomogeneous bifurcation mode and the bifurcation strain are considered by some numerical results. Validity of the solution is confirmed by a simulation using a finite element method.