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Article dans une revue

A new a posteriori error indicator and its mesh optimization for nonlocal concrete damage models

Abstract : Damage models are often used in finite element simulations of concrete structures. Evaluating the numerical quality of these computations consists in an important task which can be performed by using an error estimator. However, in the framework of nonlocal approaches these estimators seem to be much less abundant in the literature and their implementation requires considerable efforts. In this paper, a new error indicator with relatively less difficulties for its implementation is proposed. Based on local and least squares smoothing techniques, the convergence analyses of the developed indicator is carried out and discussed. The obtained results seem to be in good agreement with those obtained by the use of residual method. In addition the major difficulty to obtain an automatic step-by-step mesh adaptation is highlighted. Nevertheless for a chosen loading step, optimized calculations can be performed and example tests are presented.
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https://hal-u-picardie.archives-ouvertes.fr/hal-03619482
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Soumis le : vendredi 25 mars 2022 - 10:26:35
Dernière modification le : samedi 17 septembre 2022 - 17:18:28

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Abdelhamid Becheur, Abdelouhab Medjahed, Patrice Coorevits. A new a posteriori error indicator and its mesh optimization for nonlocal concrete damage models. Latin American Journal of Solids and Structures, Argentinean Association of Computational Mechanics, Brazilian Association of Computational Mechanics, Mexican Association of Numerical Methods in Engineering and Applied Sciences, 2018, 15 (9), ⟨10.1590/1679-78254793⟩. ⟨hal-03619482⟩

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