Abstract：A topology optimization method based on extended multiscale finite element method is developed to design the closed liquid cell materials. The main goal of the methodology is to discuss the optimal layout of the closed liquid cells, which can be considered as the basic element of the closed liquid cell structure. Firstly, the multiscale topology optimizations focus on finding the optimal distributions of closed liquid cells in terms of minimum compliance of the whole structure, in which the design domain is discretized by the multiscale coarse elements and a “SIMP-like” density-based approach is employed. Subsequently, due to the fact that the closed liquid cell materials can be used to design compliant mechanisms, the topology optimization problems of such kind of compliant mechanism are investigated based on the multiscale methods. Finally, software implementation is based on SiPESC and numerical examples are carried out to validate the accuracy of the multiscale topology optimization method for the closed liquid cell materials.
2013, Vol. 34 
