CHENG Ke-peng, WANG Xian-jie, ZHANG Xun-an, LIAN Ye-da. Collaborative Optimization of Structures With Periodic Composite Materials[J]. Applied Mathematics and Mechanics, 2015, 36(7): 725-732. doi: 10.3879/j.issn.1000-0887.2015.07.005
Citation: CHENG Ke-peng, WANG Xian-jie, ZHANG Xun-an, LIAN Ye-da. Collaborative Optimization of Structures With Periodic Composite Materials[J]. Applied Mathematics and Mechanics, 2015, 36(7): 725-732. doi: 10.3879/j.issn.1000-0887.2015.07.005

Collaborative Optimization of Structures With Periodic Composite Materials

doi: 10.3879/j.issn.1000-0887.2015.07.005
Funds:  The National Natural Science Foundation of China(51308458)
  • Received Date: 2014-10-30
  • Rev Recd Date: 2015-06-01
  • Publish Date: 2015-07-15
  • In view of the coupling effects between the micro scale and macro scale, the structure-material collaborative optimization method was established based on the traditional bi-directional evolutionary topology optimization method. The equivalent elastic modulus and sensitivities were obtained with the homogenization theory, and these properties were integrated into the material unit cell design and macrostructure optimization. To eliminate the gray area, the 0-1 properties of the materials and uniformity of the macrostructure permutation were hypothesized for deduction, which made the results manufacturable. Several numerical examples were presented to validate that the proposed optimization algorithm is effective for the material unit cell design and macrostructure optimization. The method also can be used for the periodic composite material design under given macrostructures.
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  • [1]
    Kim Y Y, Yoon G H. Multi-resolution multi-scale topology optimization—a new paradigm[J]. International Journal of Solids and Structures,2000,37(39): 5529-5559.
    [2]
    Pedersen P. On optimal shapes in materials and structure[J]. Structural and Multidisciplinary Optimization,2000,19(3): 169-182.
    [3]
    Rodrigues H, Guedes J M, Bendsoe M P. Hierarchical optimization of material and structure[J]. Structural and Multidisciplinary Optimization,2002,24(1): 1-10.
    [4]
    张卫红, 汪雷, 孙士平. 基于导热性能的复合材料微结构拓扑优化设计[J]. 航空学报, 2006,27(6): 1229-1233.(ZHANG Wei-hong, WANG Lei, SUN Shi-ping. Topology optimization for microstructures of composite materials based on thermal conductivity[J]. Act Aeronautica et Astronautica Sinica,2006,27(6): 1229-1233.(in Chinese))
    [5]
    鲁大伟, 李书, 任善. 复合材料微结构多目标自适应拓扑优化[J]. 复合材料学报, 2008,25(1): 192-195.(LU Da-wei, LI Shu, REN Shan. Multiple objectives adaptive topology optimization for microstructures of composite materials[J]. Acta Materiae Compositae Sinica,2008,25(1): 192-195.(in Chinese))
    [6]
    刘远东, 尹益辉, 郭中泽. 尺度关联的微结构构型与排布的材料/结构动力学设计[J]. 复合材料学报, 2011,28(4): 180-184.(LIU Yuan-dong, YIN Yi-hui, GUO Zhong-ze. Dynamic design associating materials and structures with scale-coupled effect[J]. Acta Materiae Compositae Sinica,2011,28(4): 180-184.(in Chinese))
    [7]
    Liu L, Yan J, Cheng G. Optimum structure with homogeneous optimum truss-like material[J]. International Journal of Computer and Structure,2008,86(13): 1417-1425.
    [8]
    刘岭, 阎军, 程耿东. 考虑均一微结构的结构/材料两级协同优化[J]. 计算力学学报, 2008,25(1): 29-34.(LIU Ling, YAN Jun, CHENG Geng-dong. Structure-material concurrent optimization considering uniform material microstructure[J]. Chinese Journal of Computational Mechanics,2008,25(1): 29-34.(in Chinese))
    [9]
    ZHANG Wei-hong, SUN Shi-ping. Scale-related topology optimization of cellular materials and structures[J]. International Journal for Numerical Methods in Engineering,2000,68(9): 993-1011.
    [10]
    Hassani B, Hinton E. A review of homogenization and topology optimization I—homogenization theory for media with periodic structure[J]. Computers & Structures,1998,69(6): 707-717.
    [11]
    孙士平, 张卫红. 多相材料微结构多目标拓扑优化设计[J]. 力学学报, 2006,38(5): 633-638.(SUN Shi-ping, ZHANG Wei-hong. Multiple objective topology optimal design of multiphase microstructures[J]. Chinese Journal of Theoretical and Applied Mechanics,2006,38(5): 633-638.(in Chinese))
    [12]
    CHEN Yu-hang, Schellekens M, ZHOU Shi-wei, Cadman J, LI Wei, Appleyard R, LI Qing. Design optimization of scaffold microstructures using wall shear stress criterion towards regulated flow-induced erosion[J]. Journal of Biomechanical Engineering,〖STHZ〗133(8): 0810081-08100810. doi: 10.1115/1.4004918.
    [13]
    Huang X, Xie Y M. A new look at ESO and BESO optimization methods[J]. Structural and Multidisciplinary Optimization,2008,35(1): 89-92.
    [14]
    Huang X, Zhou S W, Xie Y M, Li Q. Topology optimization of microstructures of cellular materials and composites for macrostructures[J]. Computational Materials Science,2013,67: 397-407.
    [15]
    ZUO Zhi-hao, HUANG Xiao-dong, RONG Jian-hua, XIE Yi-min. Multi-scale design of composite materials and structures for maximum natural frequencies[J]. Materials & Design,2013,51: 1023-1034.
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