Error estimation and adaptivity for nonlinear FE analysis

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002 Poland, Spain Publisher:De Gruyter (Sciendo), Warsaw; University of Zielona Góra, Zielona Góra; Lubusky Scientific Society, Zielona Góra

Authors: Huerta, Antonio; Rodríguez Ferran, Antonio; Díez, Pedro;

handle: 2117/8533

Error estimation and adaptivity for nonlinear FE analysis

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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.

Peer Reviewed

Countries

Poland, Spain

Related Organizations

Universitat Politècnica de Catalunya
Spain
University of Zielona Góra
Poland
Universitat Polite`cnica de Catalunya
Spain

Keywords

Engineering, Civil, Finite element methods applied to problems in solid mechanics, Anelastic fracture and damage, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits, Engineering, Multidisciplinary, :Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC], adaptivity, Engineering, Ocean, Engineering, Aerospace, Engineering, Biomedical, nonlocal damage model, Fracture mechanics--Mathematical models, single-edge notched beam, Error bounds for boundary value problems involving PDEs, nonlinearity, Computer Science, Software Engineering, Mecànica de fractura -- Models matemàtics, Engineering, Marine, damage models, Engineering, Manufacturing, Engineering, Mechanical, quality of FE solutions, error estimation, Engineering, Industrial, finite elements, Rods (beams, columns, shafts, arches, rings, etc.)

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