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Title:
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Error estimation and adaptivity for nonlinear FE analysis
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Author:
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Huerta, Antonio; Rodríguez Ferran, Antonio; Díez, Pedro
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Fracture mechanics--Mathematical models
-finite elements
-error estimation
-adaptivity
-nonlinearity
-quality of FE solutions
-damage models
-Mecànica de fractura -- Models matemàtics |
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Rights:
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Document type:
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Article - Submitted version
Article |
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