Topology optimization of multi-material structures considering anisotropic yield strengths

•Multi-material topology optimization framework with anisotropic strengths is developed.•Systematical guideline for preselecting candidate materials before optimization is proposed.•Efficiency of candidate materials on strength performance can be quantified as Eσ¯/ρ3.•Existence condition of material...

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Published in:Computer methods in applied mechanics and engineering 2024-01, Vol.418, p.116520, Article 116520
Main Authors: Liu, Baoshou, Cui, Yinan
Format: Article
Language:English
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Anisotropic strengths
Multi-material structure
Preselection method of multiple materials
Topology optimization
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description •Multi-material topology optimization framework with anisotropic strengths is developed.•Systematical guideline for preselecting candidate materials before optimization is proposed.•Efficiency of candidate materials on strength performance can be quantified as Eσ¯/ρ3.•Existence condition of material i in multi-material designs is stated as: Eiσ¯i
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Multi-material structures offer the superior performance and broader designable freedom, and have gained increasing interest benefitting from the advances in additive manufacturing (AM) technique. However, the effect of anisotropic yield strength of these AM-fabricated parts on topology optimization of multi-material structures has so far received little attention. In the current work, an anisotropic strength-based topology optimization method for multi-material structures is developed for maximizing strength performance under total mass constraint, which allows for the consideration of directional dependence and tension-compression asymmetry of yield strengths based on the Tsai-Wu yield criterion. Another challenge for multi-material structures design is that the possible permutations of numerous candidate materials are unlimited, it is impossible that all combinations of multiple candidate materials are tested for the optimal strength performance of multi-material structures. To solve this problem, we propose a preselection method for the inclusion or exclusion of candidate materials based on their elastic properties, yield strengths and densities before optimization. Afterwards, our topology optimization method can automatically find the optimal combination of volume fractions of different candidate materials. Several 2D and 3D numerical examples are investigated for minimizing the maximum of failure indexes of strength for fixed total mass. The advantages of multi-material structures are verified by comparing to single-material designs. 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To solve this problem, we propose a preselection method for the inclusion or exclusion of candidate materials based on their elastic properties, yield strengths and densities before optimization. Afterwards, our topology optimization method can automatically find the optimal combination of volume fractions of different candidate materials. Several 2D and 3D numerical examples are investigated for minimizing the maximum of failure indexes of strength for fixed total mass. The advantages of multi-material structures are verified by comparing to single-material designs. 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To solve this problem, we propose a preselection method for the inclusion or exclusion of candidate materials based on their elastic properties, yield strengths and densities before optimization. Afterwards, our topology optimization method can automatically find the optimal combination of volume fractions of different candidate materials. Several 2D and 3D numerical examples are investigated for minimizing the maximum of failure indexes of strength for fixed total mass. The advantages of multi-material structures are verified by comparing to single-material designs. The effectiveness of the preselection method of candidate materials is also verified.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.cma.2023.116520</doi><oa>free_for_read</oa></addata></record>
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subjects Anisotropic strengths
Multi-material structure
Preselection method of multiple materials
Topology optimization
title Topology optimization of multi-material structures considering anisotropic yield strengths
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