Stress-constrained concurrent multiscale topological design of porous composites based on discrete material optimisation

Wei，Guangkai1,2; Chen，Yuan2,3; Han，Xu4; Li，Guixing2,3; Bai，Yingchun5; Fu，Kunkun1,6

2025

10.1016/j.apm.2024.115730

Applied Mathematical Modelling   影响因子和分区

0307-904X

Porous composites have attracted increasing attention in recent decades. This study develops a concurrent multiscale topology optimisation (CMTO) method under a prescribed stress constraint for designing porous composites with multi-domain microstructures. First, to address the difficulty of predicting local stress due to varying of microstructural type throughout the optimisation process, a continuous and differentiable stress measure is proposed to effectively approximate the local stress. Second, an inverse homogenisation method based on isogeometric analysis (IGA) is developed to improve the accuracy of stress prediction, and then it is integrated into a CMTO which is developed based on the discrete material optimisation (DMO) interpolation scheme. Third, a stress constraint which is differentiable with respect to both macro and micro design variables is proposed to enable the stress-constrained concurrent optimisation of the macrostructural configuration, microstructural configuration and distribution. Fourth, a novel post-processing approach is established to achieve smooth while volume preserving contour of unit cells with layouts. Finally, two benchmark design examples, namely l-bracket and Crack problems, are implemented using the presented CMTO under a global stress constraint to demonstrate the effectiveness of the proposed method. The result indicates that the proposed method can effectively decrease the stress concentration via three design manners, i.e., the macrostructural configuration, microstructural configuration and distribution. Also, an “interface-enlarging” phenomenon was interestingly but reasonably found in those cases when subjected to stress-constraint considerations.

Discrete material optimisation Isogeometric analysis Multiscale topology optimisation Porous composites Stress constraint

英语

通讯

2-s2.0-85205147616

Scopus

1.School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai,200092,China
2.Shenzhen Key Laboratory of Intelligent Manufacturing for Continuous Carbon Fibre Reinforced Composites,Southern University of Science and Technology,Shenzhen,518055,China
3.School of System Design and Intelligent Manufacturing (SDIM),Southern University of Science and Technology,Shenzhen,China
4.School of Mechanical Engineering,Hebei University of Technology,Tianjin,300401,China
5.School of Mechanical Engineering,Beijing Institute of Technology,Beijing,100086,China
6.Shanghai Institute of Aircraft Mechanics and Control,Shanghai,20092,China

Wei，Guangkai,Chen，Yuan,Han，Xu,et al. Stress-constrained concurrent multiscale topological design of porous composites based on discrete material optimisation[J]. Applied Mathematical Modelling,2025,137.

Wei，Guangkai,Chen，Yuan,Han，Xu,Li，Guixing,Bai，Yingchun,&Fu，Kunkun.(2025).Stress-constrained concurrent multiscale topological design of porous composites based on discrete material optimisation.Applied Mathematical Modelling,137.

Wei，Guangkai,et al."Stress-constrained concurrent multiscale topological design of porous composites based on discrete material optimisation".Applied Mathematical Modelling 137(2025).