Un algorithme efficace d'intégration plastique pour un matériau obéissant au critère anisotrope de HillAn efficient algorithm for plastic integration of material satisfying the Hill's anisotropic yield criterion. |
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Authors: | Isabelle Titeux Yuming M. Li Karl Debray Ying-Qiao Guo |
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Affiliation: | Groupe de mécanique matériaux et structures (EA2617), université de Reims Champagne-Ardenne, moulin de la Housse, BP 1039, 51687 Reims cedex 2, France |
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Abstract: | This Note deals with an efficient algorithm to carry out the plastic integration and compute the stresses due to large strains for materials satisfying the Hill's anisotropic yield criterion. The classical algorithm of plastic integration such as ‘Return Mapping Method’ is largely used for nonlinear analyses of structures and numerical simulations of forming processes, but it requires an iterative schema and may have convergence problems. A new direct algorithm based on a scalar method is developed which allows us to directly obtain the plastic multiplier without an iteration procedure; thus the computation time is largely reduced and the numerical problems are avoided. To cite this article: I. Titeux et al., C. R. Mecanique 332 (2004). |
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Keywords: | Mécanique des solides numérique Grandes déformations Algorithme direct de plasticité Newton–Raphson Computational solid mechanics Large plastic strain Direct algorithm of plasticity Newton–Raphson |
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