結晶塑性構成モデルにおける応力積分と線形化の一考察

抄録

This paper is intended as an investigation of the implicit computational algorithm and the consistent (algorithmic) tangent modulus for finite strain single crystal plasticity. Although numerous studies have been made on an implicit computation algorithms, there is still room for improvement in a time integration of the rate of plastic deformation gradient. We here provide a new return-mapping stress update algorithm and a consistent tangent moduli in conjunction with the direct use of exponential representation. We carry out the numerical experiments on a single or polycrystalline metal and demonstrate that our proposed algorithm provides better approximation and does not bring much difference in the computational efficiency in comparison with the conventional approaches.