軟化を伴う塑性材料の変形解析について

抄録

In this study, a finite element computational method for higher-order strain gradient viscoplasticity theory, which takes spatial gradients of the equivalent plastic strain as additional nodal degrees of freedom, is proposed utilizing an implicit time integration scheme. It is demonstrated that the present method much improves calculation stability compared to previously proposed methods. The uniqueness of the solutions of the theory is confirmed by solving strain localization problem assuming a material exhibiting strain softening and a material modeled by a pseudo-corner theory that assumes strain hardening but exhibits reduction of stiffness. The present study demonstrates effectiveness of the computational higher-order strain gradient viscoplasticity for solving problems involving plastic flow localization.