Abstract2018-05-24T12:52:58+00:00

Error estimation and adaptivity for nonlinear FE analysis

Author (s): Antonio Huerta, Antonio Rodríguez-Ferran and Pedro Díez
Journal: International Journal of Applied Mathematics and Computer Sciences

Volume: 12, Issue 1
Pages: 59 – 70
Date: 2002

Abstract:
An adaptive strategy for nonlinear finite element analysis, based on the combination of error estimation and h-remeshing, is presented. The 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 elements and so-called patches. Contrary to other residual estimators, no 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.

  
  

Bibtex:

@article{2002-IJAMCS-HRD,
  Author   = {Huerta, A., Rodr\'iguez-Ferran, A. and D\'iez, P.},
  Title    = {Error estimation and adaptivity for nonlinear FE analysis},
  Fjournal = {International Journal of Applied Mathematics and Computer Sciences},
  Volume   = {12},
  Number   = {1},
  Pages    = {59—70},
  Year     = {2002}}