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