The simultaneously iterative procedure proposed by the authors is applied to the elastoplastic analysis with nonlinear kinematic hardening. The authors formulate the equation to be solved as a coupled problem of the equilibrium equation for the overall structure and the yield equations for the stress state at every material point, and develop a numerical scheme based on the block Newton method to solve them with simultaneous linearization. Since the presented numerical scheme leads to an explicit form of the hardening behavior with the internal variables, both the displacement field and the hardening behavior are updated straightforwardly. The proposed scheme has no local iterative calculations and enables us to decrease the residuals in the coupled boundary value problems simultaneously.
YAMAMOTO et al. (Wed,) studied this question.