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A new finite element integration scheme. Application to a simple shear test of anisotropic material
Authors:Pierre de Montleau  Anne Marie Habraken  Laurent Duchêne
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
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.
Keywords:solids  finite element methods  integration  plasticity  anisotropic materials  material frame  simple shear test
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