Abstract
A new class of computational algorithms for multi-scale analyses of heterogeneous elastic-plastic bodies is developed in this paper. Based on the two-scale convergence theories in the mathematical homogenization, the variational formulation with micro-macro representation of the field variables is newly proposed in the context of computational plasticity. The formulation does not involve the method of two-scale asymptotic expansions and therefore naturally leads to a computational strategy for fully global-local structural analyses. The consistent linearization of the discrete nonlinear equations enables us to evaluate the elastic-plastic behaviors accurately and effectively. We also present several numerical examples in order to show the possibilities of actual computations.
