Functionally Graded Cellular Structure Design Using the Subdomain Level Set Method with Local Volume Constraints  

作　　者：Lianxiong Chen Hui Liu Xihua Chu Jiao Wang 

机构地区：[1]Department of Engineering Mechanics,School of Civil Engineering,Wuhan University,Wuhan,430072,China [2]State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian,116024,China [3]School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu,611756,China

出　　处：《Computer Modeling in Engineering & Sciences》2021年第9期1197-1218,共22页工程与科学中的计算机建模（英文）

基　　金：This work is supported by the National Natural Science Foundation of China(Grant Nos.12072242,11772237);the Natural Science Foundation of Hubei Province(Grant No.2020CFB816);the open funds of the State Key Laboratory of Structural Analysis for Industrial Equipment(Dalian University of Technology)through contract/Grant No.GZ19110.

摘　　要：Functional graded cellular structure(FGCS)usually shows superiormechanical behaviorwith lowdensity and high stiffness.With the development of additivemanufacturing,functional graded cellular structure gains its popularity in industries.In this paper,a novel approach for designing functionally graded cellular structure is proposed based on a subdomain parameterized level set method(PLSM)under local volume constraints(LVC).In this method,a subdomain level set function is defined,parameterized and updated on each subdomain independently making the proposed approach much faster and more cost-effective.Additionally,the microstructures on arbitrary two adjacent subdomains can be connected perfectly without any additional constraint.Furthermore,the local volume constraint for each subdomain is applied by virtue of the augmented Lagrange multiplier method.Finally,several numerical examples are given to verify the correctness and effectiveness of the proposed approach in designing the functionally graded cellular structure.From the optimized results,it is also found that the number of local volume constraints has little influence on the convergence speed of the developed approach.

关 键 词：Multiscale design hierarchical structure functionally graded cellular structure local volume constraints topology optimization 

分 类 号：O17[理学—数学]