An Original integration scheme. Application to a simple shear test of anisotropic material

Finite element simulations involving large deformations and large displacements imply the setting up of a precise kinematic for the integration scheme. Moreover, anisotropic mechanical behaviors have to be expressed in an appropriate local reference frame. In the present paper, a computational procedure is derived from a particular velocity gradient de¯nition. The implementation in the ¯nite element code Lagamine developed in the M&S department is described. An application to a simple shear test is proposed. A sinusoidal behavior of the shear component stress is emphasized. It is due to the anisotropic yield locus and appears in the case of a saturated isotropic hardening law.