Mixed Finite Elements in Elasto-Plastic Problems

Abstract

Finite elements in the displacement method have succeeded in solution of elasto-plastic large strain problems, which often appear in metal working or material processings. Surveying the state-of-the-art in such elasto-plastic analyses, however, authors have found that 1) Selective reduced integration can provide more reliable results than the conventional finite elements even in large-strain analysis [1], 2) In case of elasto-plastic analysis by usual finite elements, load or displacement increments must be restricted to so small values as to satisfy the incompressibility conditions of plastic strains in large-strain problems [2], 3) In order to control element subdivisions for remeshing, pressure band contour yields proper indicator of error distributions, which is available as an adaptive mesh control in practice [3,4].