A new finite element integration scheme. Application to a simple shear test of anisotropic material |
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Authors: | Pierre de Montleau Anne Marie Habraken Laurent Duchêne |
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Affiliation: | 1. ArGEnCo Department, University of Liège, Chemin des Chevreuils 1, 4000 Liège, Belgium;2. COBO Department, Royal Military Academy, Avenue de la Renaissance 30, 1000 Brussels, Belgium |
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Abstract: | Finite element simulations involving large strains and large displacements imply the setting up of a precise kinematics for the integration scheme. Moreover, anisotropic mechanical behaviours have to be expressed in an appropriate local reference frame. In the present paper, a computational procedure is derived from a particular velocity gradient definition. Its implementation in a finite element code is described. Application to a simple shear test is proposed. For anisotropic materials, a sinusoidal behaviour of the shear stress component is emphasized. This is due to the anisotropic yield locus and appears in the case of a saturated isotropic hardening law. Copyright © 2007 John Wiley & Sons, Ltd. |
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Keywords: | solids finite element methods integration plasticity anisotropic materials material frame simple shear test |
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