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Paper details
Number 1 - March 2002
Volume 12 - 2002
Error estimation and adaptivity for nonlinear FE analysis
Antonio Huerta, Antonio Rodríguez-Ferran, Pedro Díez
Abstract
An adaptive strategy for nonlinear finite-element analysis, based on the combination of error estimation and h-remeshing, is presented. Its two main ingredients are a residual-type error estimator and an unstructured quadrilateral mesh generator. The error estimator is based on simple local computations over the elements and the so-called patches. In contrast to other residual estimators, no flux splitting is required. The adaptive strategy is illustrated by means of a complex nonlinear problem: the failure analysis of a single-edge notched beam. The quasi-brittle response of concrete is modelled by means of a nonlocal damage model.
Keywords
finite elements, error estimation, adaptivity, nonlinearity, quality of FE solutions, damage models