Adaptive Composite Grid Methods for Problems of Plasticity

Radim Blaheta
Institute of Geonics AS CR
Studentska 1768
708 00 Ostrava, Czech Republic

Abstract

The incremental FE method, which is a widely used procedure for the solution of problems of elasto-plasticity, is considered in this paper. An adaptive variant of this method is described as a tool for efficient computation of sufficiently accurate approximate solution. The main investigation is then devoted to the use of composite FE grids within the incremental FE methods. The attention is devoted mainly to implementation and convergence analysis of the Newton-FAC/BEPS iterative procedures for the solution of nonlinear systems arising within the load steps.