Using strain energy-based prediction of effective elastic properties in topology optimization of material microstructures

作者：Zhang Weihong^*; Dai Gaoming; Wang Fengwen; Sun Shiping; Bassir Hicham

来源：Acta Mechanica Sinica, 2007, 23(1): 77-89.

DOI：10.1007/s10409-006-0045-2

• cellular solids
• material design
• homogenization method
• strain energy
• topology optimization

An alternative strain energy method is proposed for the prediction of effective elastic properties of orthotropic materials in this paper. The method is implemented in the topology optimization procedure to design cellular solids. A comparative study is made between the strain energy method and the well-known homogenization method. Numerical results show that both methods agree well in the numerical prediction and sensitivity analysis of effective elastic tensor when homogeneous boundary conditions are properly specified. Two dimensional and three dimensional microstructures are optimized for maximum stiffness designs by combining the proposed method with the dual optimization algorithm of convex programming. Satisfactory results are obtained for a variety of design cases.

• 出版日期2007-2
• 单位西北工业大学; 中国地震局工程力学研究所