抄録
We develop a method of topology optimization for structures at finite strains based on the mathematical homogenization theory. In this method, we define the design variables at each node of the finite element model, whereas the conventional approach defines one set of design variables in an element. Addition to this, the material distribution in an element is assumed, and approximated by the shape functions in a element and discretized values at nodes. The corresponding formulation approach is consistent with the mechanical problem modeled by the homogenization method. Several representative numerical examples are presented to show the validity and applicability of the proposed approach. In particular, we try to clarify the mechanism which generates the optimal structure prevented from revealing structural instabilities such as buckling.
