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Structural and Multidisciplinary Optimization

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20-03-2020 | Research Paper

A projection approach for topology optimization of porous structures through implicit local volume control

Author: Suguang Dou

Published in: Structural and Multidisciplinary Optimization | Issue 2/2020

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Abstract

Porous structures are of valuable importance in additive manufacturing. They can also be exploited to improve damage tolerance and fail-safe behavior. This paper presents a projection approach to design optimized porous structures in the framework of density-based topology optimization. In contrast to conventional constraint approach, the maximum local volume limitation is integrated into the material interpolation model through a filtering and projection process. This paper also presents two extensions of the basic approach, including a robust formulation for improving weak structural features and mesh/design refinement for enhancing computational stability and efficiency. The applicability of the proposed methodology is demonstrated by a set of numerical minimum compliance problems. This approach can be used in a wider range of applications concerning porous structures.

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These six scalar fields (ψ, \( \tilde{\psi} \), ϕ, \( \overline{\phi} \), φ, ρ) are denoted as X, X1, X2, X3, X4 and X5 in the code filtersub.m shown in the appendix.

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Title: A projection approach for topology optimization of porous structures through implicit local volume control
Author: Suguang Dou
Publication date: 20-03-2020
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 2/2020
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-020-02539-x

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