Abstract
In this paper, we present an effective method for designing the composite material by the topology optimization technique using the homogenization design method. The composite material is made of two or three different material phases. Designing the composite material consists of finding a distribution of material chases that minimizes the mean compliance of the macrostructure subject to volume fraction constraints of the constituent phases, within a unit cell of periodic microstructures. At the start of the computational solution, the material distribution of the microstracture is represented as a pure mixture of the constituent phases As the iteration procedure unfolds, the component phases separate themselves out to form distinctive interfaces. The optimization problem is solved using the SLP method. Several examples of optimal topology design of composite material are presented to demonstrate the validity of the present numerical algorithm.
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