Design optimization of interconnected porous structures using extended triply periodic minimal surfaces

Li，Ming1; Zhu，Liangchao1; Li，Jingzhi2; Zhang，Kai3

2021-01-15

10.1016/j.jcp.2020.109909

JOURNAL OF COMPUTATIONAL PHYSICS   影响因子和分区

0021-9991

1090-2716

We propose an approach to design an optimized heterogeneous interconnected porous structure over a fixed macro-design mesh for performance optimization, which has seldom been addressed despite its extensive potential industrial applications. We achieve this by introducing the concept of the extended triply periodic minimal surface (ETPMS), defined by an implicit function with additional control parameters that can prescribe the element anisotropy and heterogeneity consistently. The control parameters are expressed as continuous explicit functions of spatial coordinates, and ultimately generate a porous structure with perfect geometric connections and fully interconnected pore networks. The modeling advantages of the ETPMS come at the cost of challenges in its efficient simulation and optimization owing to its large number of varied ETPMS elements and their geometric validity requirements. These issues are further resolved using a strategy of offline pre-computation; in particular, parametric homogenization and several carefully designed optimization techniques. The performance of the approach is demonstrated using a suite of three-dimensional benchmark examples.

Anisotropic porous structures Design optimization Extended triply periodic minimal surface Interconnected Proper generalized decomposition

SCI ; EI

英语

通讯

NSF of China[11871245,61872320,11971221,11731006] ; Shenzhen Sci-Tech Fund["JCYJ20190809150413261","JCYJ20170818153840322"] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001] ; Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University[93K172018Z01]

Computer Science ; Physics

Computer Science, Interdisciplinary Applications ; Physics, Mathematical

WOS:000598925100001

ACADEMIC PRESS INC ELSEVIER SCIENCE

20204309404125

Porosity ; Benchmarking ; Structural optimization

Optimization Techniques:921.5 ; Physical Properties of Gases, Liquids and Solids:931.2

PHYSICS

2-s2.0-85093675866

Scopus

1.State Key Laboratory of CAD&CG,Zhejiang University,Hangzhou,China
2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China
3.Department of Mathematics,Jilin University,Changchun,China

Li，Ming,Zhu，Liangchao,Li，Jingzhi,et al. Design optimization of interconnected porous structures using extended triply periodic minimal surfaces[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2021,425.

Li，Ming,Zhu，Liangchao,Li，Jingzhi,&Zhang，Kai.(2021).Design optimization of interconnected porous structures using extended triply periodic minimal surfaces.JOURNAL OF COMPUTATIONAL PHYSICS,425.

Li，Ming,et al."Design optimization of interconnected porous structures using extended triply periodic minimal surfaces".JOURNAL OF COMPUTATIONAL PHYSICS 425(2021).