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Weihong Zhang, Gaoming Dai, Fengwen Wang, Shiping Sun, Hicham Bassir. Topology optimization of material microstructures using strain energy-based prediction of effective elastic properties[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 77-89. DOI: 10.6052/0459-1879-2007-1-2006-086
Citation: Weihong Zhang, Gaoming Dai, Fengwen Wang, Shiping Sun, Hicham Bassir. Topology optimization of material microstructures using strain energy-based prediction of effective elastic properties[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 77-89. DOI: 10.6052/0459-1879-2007-1-2006-086
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Topology optimization of material microstructures using strain energy-based prediction of effective elastic properties

  • Received Date: February 26, 2006
  • Revised Date: July 03, 2006
    Graphical Abstract
    • Abstract
  • 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 3 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.
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