An explicit integration scheme for hypo-elastic viscoplastic crystal plasticity
(1. Department of Materials Science and Engineering, Norwegian University of Science and Technology,
NO-7491 Trondheim, Norway;
2. SINTEF Materials and Chemistry, NO-7465 Trondheim, Norway;
3. Department of Structural Engineering, Norwegian University of Science and Technology,
NO-7491 Trondheim, Norway;
4. Structural Impact Laboratory (SIMLab), Center for Research-based Innovation,
Norwegian University of Science and Technology, NO-7491 Trondheim, Norway)
NO-7491 Trondheim, Norway;
2. SINTEF Materials and Chemistry, NO-7465 Trondheim, Norway;
3. Department of Structural Engineering, Norwegian University of Science and Technology,
NO-7491 Trondheim, Norway;
4. Structural Impact Laboratory (SIMLab), Center for Research-based Innovation,
Norwegian University of Science and Technology, NO-7491 Trondheim, Norway)
Abstract: An explicit integration scheme for rate-dependent crystal plasticity (CP) was developed. Additive decomposition of the velocity gradient tensor into lattice and plastic parts is adopted for describing the kinematics; the Cauchy stress is calculated by using a hypo-elastic formulation, applying the Jaumann stress rate. This CP scheme has been implemented into a commercial finite element code (CPFEM). Uniaxial compression and rolling processes were simulated. The results show good accuracy and reliability of the integration scheme. The results were compared with simulations using one hyper-elastic CPFEM implementation which involves multiplicative decomposition of the deformation gradient tensor. It is found that the hypo-elastic implementation is only slightly faster and has a similar accuracy as the hyper-elastic formulation.
Key words: crystal plasticity; hypo-elasticity; hyper-elasticity; forward Euler integration