基于M-VCUT水平集微结构模型的最小宽度控制双尺度结构并行拓扑优化

IF 6.9 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Computer Methods in Applied Mechanics and Engineering Pub Date : 2024-12-31 DOI:10.1016/j.cma.2024.117697

Minjie Shao, Zhuo Huang, Tielin Shi, Qi Xia

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引用次数: 0

摘要

提出了一种利用微结构的M-VCUT水平集模型控制两尺度结构并行拓扑优化的微尺度最小宽度的方法。关键思想是建立一个数据驱动的微结构模型，以满足离线阶段的最小宽度要求。特别是，为每个虚拟微观结构分配一个拓扑变量，以消除其效率低下的情况。在并行拓扑优化的在线阶段，利用设计变量与微观结构有效力学性能之间的简单数值关系，在宏观尺度上进行高效有限元分析。算例结果表明，该方法是有效的。

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Concurrent topology optimization of two-scale structures with minimum width control in microscale by using a M-VCUT level set based model of microstructures

A method is proposed to control the minimum width in microscale for concurrent topology optimization of two-scale structures by using a M-VCUT level set model of microstructures. The key idea is to construct a data-driven model of microstructures that satisfies the requirement of minimum width in an off-line phase. Especially, a topology variable is assigned to each virtual microstructure to eliminate it if it is inefficient. During the on-line phase of concurrent topology optimization, a simple numerical relationship between the design variables and the effective mechanical properties of microstructure is used for efficient finite element analysis in the macroscale. The results of several numerical examples prove that the proposed method is effective.

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来源期刊

Computer Methods in Applied Mechanics and Engineering 工程技术-工程：综合

CiteScore

12.70

自引率

15.30%

发文量

719

审稿时长

44 days

期刊介绍： Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.