Scaling-up topology optimization with target stress states via gradient-based algorithms

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures Pub Date : 2025-04-15 DOI:10.1016/j.compstruc.2025.107766

Michael Mauersberger, Florian Dexl, Johannes F.C. Markmiller

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引用次数: 0

Abstract

Benchmark artifacts serve as an appropriate mean to represent quality measures in additively manufactured components. Especially witness specimens, which represent structural properties as a subtype of benchmark artifacts, are supposed to reproduce target stress states as they are critical for component failure.

This study aims at proposing an approach to effectively scale the results of topology optimized witness specimens with failure-critical target stress states using gradient-based methods. Therefore, possible formulations with analytical sensitivities are derived and implemented in a Matlab framework in order to contextualize the actual formulation within classical approaches consistently.

It has been confirmed that gradient-based topology optimization with analytical sensitivities is not appropriate for a direct formulation of failure-critical target stress states. Thus, an indirect formulation based on compliant mechanisms is presented in this paper. It is shown that plausible, functional structures can be produced. Target stresses are achieved in scaled-up results in two and three dimensions with an accuracy up to a relative error of 3.7 %.

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基于梯度算法的目标应力状态缩放拓扑优化

基准工件作为一种合适的方法来表示增材制造部件的质量度量。特别是见证试样，它代表了结构特性，作为基准工件的一个子类型，被认为是再现目标应力状态，因为它们是组件失效的关键。本研究旨在提出一种基于梯度的方法来有效地缩放具有失效临界目标应力状态的拓扑优化见证试件的结果。因此，在Matlab框架中推导和实现具有分析灵敏度的可能公式，以便始终如一地将经典方法中的实际公式置于上下文中。已经证实，基于梯度的拓扑优化与解析灵敏度不适合直接制定失效临界目标应力状态。因此，本文提出了一种基于柔性机制的间接公式。结果表明，合理的功能结构是可以产生的。在二维和三维的放大结果中实现了目标应力，精度可达3.7%的相对误差。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computers & Structures 工程技术-工程：土木

CiteScore

8.80

自引率

6.40%

发文量

122

审稿时长

33 days

期刊介绍： Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.