高次ひずみ勾配塑性論の解析方法についての考察

抄録

To express effects of intrinsic material length scale, Aifantis (1984) proposed introduction of plastic strain gradient terms to the conventional yield function, and this class of theories has been studied for the past 40 years as strain gradient plasticity theories. The addition of a spatial gradients of plastic strain to the conventional yield function requires extra boundary conditions in principle, but there are several studies that have introduced plastic strain gradient effects with no consideration of the extra boundary conditions. It is necessary to investigate the validity of the solutions without extra boundary conditions. In the present study, a shear band problem is treated using finite element method, and convergence solutions with and without extra boundary conditions were compared. As a result, both solutions with and without consideration of the extra boundary conditions gave almost the same numerical results in the specific problem considered.