A multiscale strategy is developed for the thermo-elastic plastic stress analysis of heterogeneous multiphase materials. The strategy is based on the extended multiscale finite element method (EMsFEM) and the enriched partition of unity approach. In the formulation, the enriched numerical base functions are adapted into the EMsFEM, which show good applicability to the local deformation pattern. Thus, the microscopic variable fields can be reproduced precisely, which are crucial for the nonlinear analysis. Numerical examples of two-phase heterogeneous media with regular and irregular microstructures demonstrate the validity and efficiency of the proposed method.
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