Two-scale topology optimization for transient heat analysis in porous material considering the size effect of microstructure
Two-scale topology optimization for transient heat analysis in porous material considering the size effect of microstructure
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DOI：
10.1007/s00158-022-03257-2
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发表时间：
2022-06
影响因子：
3.9
通讯作者：
Naruethep Sukulthanasorn;Hiroya Hoshiba;K. Nishiguchi;M. Kurumatani;R. Fleischhauer;K. Ushijima;M. Kal
中科院分区：
文献类型：
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作者：
Naruethep Sukulthanasorn;Hiroya Hoshiba;K. Nishiguchi;M. Kurumatani;R. Fleischhauer;K. Ushijima;M. Kal
本文提出了一种双尺度拓扑优化框架，用于确定多孔材料在瞬态热传导和传递下的最佳微观结构。新的优化模型，它可以考虑表面积直接从微观结构的拓扑结构作为尺寸依赖项，引入到提高传热性能。更详细地说，均匀化的方法，能够考虑尺寸依赖的微观传热效应被采用来表达的微观材料的响应。一个众所周知的材料插值，被称为SIMP方法，和设计相关的线性函数用于插值中间材料属性。在这个优化问题中，选择最小的瞬态热柔作为目标函数。在灵敏度分析中，采用耦合伴随变量法推导了暂态灵敏度公式。分析表明，所提出的拓扑优化模型不仅捕捉瞬态热，但多孔材料的瞬态热分析的微观结构的尺寸效应。
This paper presents a two-scale topology optimization framework for determining the optimal microstructure in porous material under transient heat conduction and transfer. The new optimization model, which can consider the surface area directly from microstructure topology as the size-dependent term, is introduced to enhance the heat transfer performance. In more detail, a homogenization method capable of considering the size-dependent microscopic heat transfer effect is adopted to express the microscopic material responses. A well-known material interpolation, referred to as the SIMP approach, and the design-dependent linear function are used for interpolating intermediate material properties. The minimal transient heat compliance is chosen as an objective function in this optimization problem. For the sensitivity analysis, a coupled-adjoint variable method is adopted to derive transient sensitivity formulation. The analysis shows that the proposed topology optimization model captures not only the transient heat but also the size effect of the microstructure in a transient heat analysis in porous material.