APPLICATION OF ALTERNATIVE FORMULATION OF ELASTOPLASTICITY TO 1D PROBLEMS

Abstract

 In this paper, the alternative formulation proposed by the authors is applied to one-dimensional elasto-plastic problems including softening. The formulation results in a variational problem at loading, unloading, and reloading stages, and analytical solutions are obtained for all these stages. An elastoplastic zone cannot be determined in the variational problem, and a condition that determines its size at the onset of plastic deformation is proposed. Discussions are made on the analytical solutions obtained according to the alternative formulation to develop more stable numerical analysis of elastoplastically softening problems.