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SUMMARYThe present study proposes a method of micro-macro concurrent topology optimization for a two-phase nonlinear solid to minimize the end compliance of its macrostructure undergoing large deformation. In order to reduce the computational costs to solve a two-scale boundary value problem (BVP) under geometrically nonlinear setting, we employ the so-called method of decoupling multi-scale structural analysis, in which the micro-and macroscopic BVPs are decoupled in terms of the homogenization process. An isotropic hyperelasticity model is employed for the constitutive model for microstructures, while an orthotropic one is assumed to represent the macroscopic material behavior. Owing to this decoupling framework, the micromacro concurrent optimization problem can be split into two individual problems at the micro-and macroscales for the sake of algorithmic simplicity. Also, a two-scale adjoint sensitivity analysis can be performed within the framework of computational homogenization. It is verified from a series numerical examples that the proposed method is capable of computing the optimal structures at both micro-and macro-scales, according to the level of applied load.