Formulations and computational strategies for novel problems of plasticity and creep

Abstract

This paper comprises results which have been obtained in the course of studies on a unified approach to a variety of current static and dynamic problems of inelastic solids and structures. The objective of the first part of the paper is to review some concepts of constitutive and finite element modelling for novel plasticity applications. The specific topics covered here are: large elastic-plastic strains with infinitesimal or finite elastic strain contribution, non-associated viscous and non-viscous plasticity as applied to void-containing metals, and temperature and creep effects. The discussion to follow is aimed at showing the great potential of finite-element time stepping schemes in solving problems of structural and mechanical engineering. The numerical illustrations encompass a diversity of large scale computations such as geometrically and materially nonlinear analysis of frames and shells and bifurcation analysis in void-containing metals.