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A new finite element integration scheme. Application to a simple shear test of anisotropic material
Author(s) -
de Montleau Pierre,
Habraken Anne Marie,
Duchêne Laurent
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2130
Subject(s) - isotropy , finite element method , simple shear , anisotropy , shear (geology) , structural engineering , simple (philosophy) , computer science , mathematics , mathematical analysis , geometry , engineering , mechanics , shear stress , physics , materials science , quantum mechanics , composite material , philosophy , epistemology
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 elementcode 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.