Multi-Material Topology Optimization of Structures Using an Ordered Ersatz Material Model

作     者：Baoshou Liu Xiaolei Yan Yangfan Li Shiwei Zhou Xiaodong Huang 

作者机构：Fujian Key Laboratory of Automotive Electronics and Electric DriveFujian University of TechnologyFuzhou350118China Key Laboratory of Advanced Technology for Vehicle Body Design&ManufactureHunan UniversityChangsha410082China Faculty of ScienceEngineering and TechnologySwinburne University of TechnologyMelbourneVIC 3122Australia Centre for Innovative Structures and MaterialsSchool of EngineeringRMIT UniversityMelbourneVIC 3001Australia 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2021年第128卷第8期

页      面：523-540页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work was supported by Hunan Provincial Innovation Foundation for Postgraduate(CX20190278) FJUT Scientific Research Foundation(GY-Z17015) Open Fund of Fujian Key Laboratory of Automotive Electronics and Electric Drive(KF-X19001) 

主　　题：Multi-material topology optimization ordered ersatz material model mass constraint single variable 

摘      要：This paper proposes a new element-based multi-material topology optimization algorithm using a single variable for minimizing compliance subject to a mass constraint.A single variable based on the normalized elemental density is used to overcome the occurrence of meaningless design variables and save computational *** from the traditional material penalization scheme,the algorithm is established on the ordered ersatz material model,which linearly interpolates Young’s modulus for relaxed design *** achieve a multi-material design,the multiple floating projection constraints are adopted to gradually push elemental design variables to multiple discrete *** the convergent element-based solution,the multiple level-set functions are constructed to tentatively extract the smooth interface between two adjacent *** 2D and 3D numerical examples are presented to demonstrate the effectiveness of the proposed algorithm and the possible advantage of the multi-material designs over the traditional solid-void designs.