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2002 | 12 | 1 | 59-70
Tytuł artykułu

Error estimation and adaptivity for nonlinear FE analysis

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Tom
12
Numer
1
Strony
59-70
Opis fizyczny
Daty
wydano
2002
otrzymano
2001-09-01
poprawiono
2002-01-01
Twórcy
  • Departament de Matemàtica Aplicada III, E.T.S. de Ingenieros de Caminos, Edifici C2, Campus Nord, Universitat Politècnica de Catalunya, E08034 Barcelona, Spain
  • Departament de Matemàtica Aplicada III, E.T.S. de Ingenieros de Caminos, Edifici C2, Campus Nord, Universitat Politècnica de Catalunya, E08034 Barcelona, Spain
autor
  • Departament de Matemàtica Aplicada III, E.T.S. de Ingenieros de Caminos, Edifici C2, Campus Nord, Universitat Politècnica de Catalunya, E08034 Barcelona, Spain
Bibliografia
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  • Díez P., Arroyo M. and Huerta A. (2000): Adaptivity based on error estimation for viscoplastic softening materials. - Mech. Cohes.-Frict. Mat., Vol. 5, No. 2, pp. 87-112.
  • Díez P. and Egozcue J.J. (2001): Probabilistic analysis of an a posteriori error estimator for finite elements. - Math. Models Meth. Appl. Sci., Vol. 5, No. 5, pp. 841-854.
  • Díez P. and Huerta A. (1999): A unified approach to remeshing strategies for finite element h-adaptivity. - Comp. Meth. Appl. Mech. Eng., Vol. 176, No. 1-4, pp. 215-229.
  • Díez P. and Huerta A. (2000): Error estimation for adaptive computations of shell structures. - Revue Europeenne des Elements Finis, Vol. 9, No. 1-2, pp. 49-66.
  • Díez P., Egozcue J.J. and Huerta A. (1998): A posteriori error estimation for standard finite element analysis. - Comp. Meth. Appl. Mech. Eng., Vol. 163, No. 1-4, pp. 141-157.
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  • Huerta A., Rodríguez-Ferran A., Díez P. and J. Sarrate (1999): Adaptive finite element strategies based on error assessment. - Int. J. Num. Meth. Eng., Vol. 46, No. 10, pp. 1803-1818.
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  • Pijaudier-Cabot G. and Bau zant Z.P. (1987): Nonlocal damage theory. - J. Eng. Mech., Vol. 113, No. 10, pp. 1512-1533.
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  • Rodríguez-Ferran A., Arbós I. and Huerta A. (2001): Adaptive analysis based on error estimation for nonlocal damage models. - Revue europeenne des elements finis (Special issue: Numerical Modelling in Damage Mechanics), Vol. 10, No. 2-4, pp. 193-207.
  • Sarrate J. and Huerta A. (2000): Efficient unstructured quadrilateral mesh generation. - Int. J. Num. Meth. Eng., Vol. 49, No. 10, pp. 1327-1350.
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv12i1p59bwm
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