Implementation and comparison of advanced behaviour laws for sheet metal forming

Abstract

This contribution concerns the implementation in the FE code Abaqus/Explicit of anisotropic elastoplastic behaviour laws for sheet metal forming. Several hardening laws are considered: isotropic hardening (Swift, Voce), kinematic hardening (Armstrong-Frederick), combinations of both as well as the microstructural model of Teodosiu-Hu. The initial anisotropy is described by the Hill'48 yield function. A specific, explicit time integration scheme is developed for use with shell elements. The validation of the implementation and the comparison between the different hardening laws is made using rheological tests. Several different monotonic tests are used: tensile test, shear test and plane strain test, together with two-path tests: tensile+shear and shear-to-shear (Bauschinger). A cross-shape cup drawing test is used as an application for a deeper comparison of the real benefit of the different hardening laws.