Anisotropic finite elastoplastic analysis of shells: Simulation of earing in deep-drawing of single- and polycrystalline sheets by Taylor-type micro-to-macro transitions. (Q1430712)

The authors deal with a new aspect of anisotropic elastoplastic analyses of shells at finite strains. Namely, the authors develop a general interface to deformation-gradient-driven constitutive stress update algorithms of anisotropic multiplicative plasticity. On the side of the constitutive modelling, the authors consider a distinct incremental variational formulation for single crystal plasticity suitable for the implementation in brick-type shell elements. The authors focus on normal-dissipative constitutive structures of crystal plasticity consistent with a generalized standard medium. The proposed nonlinear shell formulation is applied to the simulation of earing in deep-drawing of anisotropic sheets. The authors present finite elements simulations of cup-drawing of f.c.c. single crystal and previously rolled polycrystalline f.c.c. sheets. A comparison with experiments underlines the performance of the proposed model.