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论文类型：会议论文

发表时间：1999-01-01

收录刊物：CPCI-S

页面范围：493-500

摘要：Composite properties are dependent on the microstructure of materials, which is depicted with a base cell. The parameters for representing the microstructure should include the shape parameters of the base cell and the parameters used to describe the distribution of materials in the base cell. The goal of material design optimization is to find appropriate values of these parameters to make the materials behave specific properties. Design optimization needs the sensitivity information of the material properties with respect to the shape parameter of the base cell and the material distribution parameters. Besides, sensitivity calculation often costs consuming. Thus, it is very important to develop an efficient sensitivity analysis method.
   In this paper, a mapping method is proposed for predicting the material properties and computing their sensitivities with respect to the shape parameters of base cell. Through mapping transformation, the solving of the micro-scale homogenization problem defined on the domain of a base cell can be obtained by solving a homogenization problem defined on an initial given domain. The composite properties and their sensitivities with respect to the shape parameters of the base cell are explicitly expressed in terms of the properties and their sensitivities of a virtual material with respect to the distribution parameters. This virtual material has an initially given base cell domain. Thus re-meshing for discretizing the problem is avoided and computing cost saving is realized. Numerical examples show that the proposed method is accurate and efficient in both the prediction of material properties and the sensitivity calculation.