Topology optimization of micro-structure for composites applying a decoupling multi-scale analysis
Topology optimization of micro-structure for composites applying a decoupling multi-scale analysis
复制标题
DOI：
10.1007/s00158-013-0994-6
复制
发表时间：
2014-04-01
影响因子：
3.9
通讯作者：
Kyoya, Takashi
中科院分区：
文献类型：
--
作者：
Kato, Junji;Yachi, Daishun;Kyoya, Takashi
本研究提出了一种考虑宏观结构响应的复合材料微结构拓扑优化方法，应用基于均匀化方法的解耦多尺度分析。在本研究中，假设宏观结构的拓扑结构是不变的，而微观结构的拓扑结构在宏观结构上是唯一的。在线性弹性状态下，宏观结构的刚度在组分的规定材料体积下最大化。采用了基于梯度的优化策略，并引入了基于数值材料试验的灵敏度分析方法。通过一系列数值算例验证了该方法在先进材料设计中的应用潜力。
The present study proposes topology optimization of a micro-structure for composites considering the macroscopic structural response, applying a decoupling multiscale analysis based on a homogenization approach. In this study, it is assumed that topology of macro-structure is unchanged and that topology of micro-structure is unique over the macro-structure. The stiffness of the macrostructure is maximized with a prescribed material volume of constituents under linear elastic regime. A gradient-based optimization strategy is applied and an analytical sensitivity approach based on numerical material tests is introduced. It was verified from a series of numerical examples that the proposed method has great potential for advanced material design.