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蔡坤 陈飙松 张洪武. 具有不同拉压性能材料的连续体结构拓扑优化[J]. 力学学报, 2008, 40(5): 646-653. DOI: 10.6052/0459-1879-2008-5-2007-455
引用本文: 蔡坤 陈飙松 张洪武. 具有不同拉压性能材料的连续体结构拓扑优化[J]. 力学学报, 2008, 40(5): 646-653. DOI: 10.6052/0459-1879-2008-5-2007-455
Hongwu Zhang. Topology optimization of continuum structures with materials exhibiting different tensile and compressive properties[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(5): 646-653. DOI: 10.6052/0459-1879-2008-5-2007-455
Citation: Hongwu Zhang. Topology optimization of continuum structures with materials exhibiting different tensile and compressive properties[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(5): 646-653. DOI: 10.6052/0459-1879-2008-5-2007-455

具有不同拉压性能材料的连续体结构拓扑优化

Topology optimization of continuum structures with materials exhibiting different tensile and compressive properties

  • 摘要: 采用浮动的拉伸与压缩生长参考区间法讨论材料的拉伸与压缩性能差别对最优拓扑的影响.材料的拉伸与压缩性能差别包含两个方面,其一,基础材料的拉伸杨氏模量与压缩杨氏模量存在差异;其二,基础材料在拉伸变形与在压缩变形下生长的参考应变区间不同. 两者对结构最优拓扑的影响具有等效性. 数值算例证明了这一等效性. 数值算例进一步表明,对于一个给定的设计域,基础材料的拉伸与压缩性能差异对结构最优拓扑影响很大. 因此,考虑结构及材料具有不同拉压性能时的拓扑优化工作具有明显的工程意义.

     

    Abstract: The effects of the difference between the tensileand compressive properties (TCPs) of materials on the final topologies ofstructures are investigated with floating reference intervals in theoptimization case of a bone growing process based on Wolff's law. There aretwo aspects in the difference on TCPs of basal materials to have equivalenteffects on the structural topology optimization: one is the differencebetween their tensile and compressive Young's moduli, , the other is thevariation of the intervals of their references strains in bone growingprocess under the tensile or compressive state . The numerical cases verifythis equivalence and further reveal a more reasonable structure topologysubjected to the differences on TCPs of the materials.

     

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