A new finite element integration scheme. Application to a simple shear test of anisotropic material | Zendy

de Montleau Pierre | Zendy; Habraken Anne Marie | Zendy; Duchêne Laurent | Zendy

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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.

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