Abstract
We consider the quasi-static deformation process of an elasto-plastic body, under the assumption of small strains. The elasto-plastic behaviour of the material ss assumed to be governed by the Huber-von Mises yield function with piecewise linear strain hardening (softening). The yield function is written in the terms of the strains, and we define the problem as the system that consists of (a) a variational equation which is the equilibrium condition for the body and (b) a variational inequality expressing the unilateral character of the plastic strain-rate multiplier. An iterative method for solving this nonlinear system, based on an incremental, implicit time integration scheme and on a finite element approximation is proposed. The variational inequality after being discretized using finite elements is solved as a linear complementarity problem. The results of some numerical experiments for a test problem are provided.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call