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

Computer Modeling in Engineering & Sciences 2021年第8期128卷 523-540页

作者： Baoshou Liu Xiaolei Yan Yangfan Li Shiwei Zhou Xiaodong Huang Fujian Key Laboratory of Automotive Electronics and Electric Drive Fujian University of TechnologyFuzhou350118China Key Laboratory of Advanced Technology for Vehicle Body Design&Manufacture Hunan UniversityChangsha410082China Faculty of Science Engineering and TechnologySwinburne University of TechnologyMelbourneVIC 3122Australia Centre for Innovative Structures and Materials School of EngineeringRMIT UniversityMelbourneVIC 3001Australia

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.

关键词： Multi-material topology optimization ordered ersatz material model mass constraint single variable

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Multi-Material and Multiscale Topology Design Optimization of Thermoelastic Lattice Structures

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Computer Modeling in Engineering & Sciences 2022年第2期130卷 967-986页

作者： Jun Yan Qianqian Sui Zhirui Fan Zunyi Duan StateKey Laboratory of Structural Analysis for Industrial Equipment Department of EngineeringMechanicsInternational Research Center for Computational MechanicsDalian University of TechnologyDalian116024China Ningbo Research Institute of Dalian University of Technology Ningbo315016China Institute of Structural Health Monitoring and Control School of MechanicsCivil Engineering&ArchitectureNorthwestern Polytechnical UniversityXi’an710072China

This study establishes amultiscale andmulti-material topology optimization model for thermoelastic lattice structures(TLSs)consideringmechanical and thermal loading based on the ExtendedMultiscale Finite ElementMethod(EMsFEM).The corresponding multi-material and multiscale mathematical formulation have been established with minimizing strain energy and structural mass as the objective function and constraint,*** Solid Isotropic Material with Penalization(SIMP)interpolation scheme has been adopted to realize micro-scale multi-material selection of truss *** modified volume preserving Heaviside function(VPHF)is utilized to obtain a clear 0/1 material of truss *** with the classic topology optimization of single-material TLSs,multi-material topology optimization can get a better structural design of the *** effects of temperatures,size factor,and mass fraction on optimization results have been presented and discussed in the numerical examples.

关键词： Multi-material design optimization thermoelastic lattice structure multiscale topology optimization mass constraint strain energy

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Thermo-elastic structural topology optimization with multiple materials

Thermo-elastic structural topology optimization with multipl...

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中国计算力学大会2014暨第三届钱令希计算力学奖颁奖大会

作者： GAO Tong XU Pengli ZHANG Weihong Sino-Belgian Laboratory of Aerospace Computing Northwestern Polytechnical University

This study is focused on the thermo-elastic structural topology optimization with multiple *** thermal stress coefficient(TSC)defined by the product between Young’s modulus and thermal expansion coefficient is used to model the thermal stress load of multiple *** combination of UMMI(Uniform Multiphase Materials Interpolation)scheme and RAMP(Recursive Multiphase Materials Interpolation)model are used to parameterize the properties of multiple materials,including Young’s modulus and *** of adopting the common idea of using volume constraint,a new problem formulation with mass constraint is *** linear mass constraint formulation which works well in static optimization problem is found sometime introducing a meaningless case in some ***,a nonlinear mass constraint formulation is proposed by using the UMMI scheme to parameterize the density and an improvement scheme is suggested to obtain 0-1 *** validity is illustrated by numerical ***,the nonlinear mass constraint is theoretically proved having the advantage of increasing further the structural stiffness over the volume constraints with the predetermination of the same structure mass.

关键词： topology optimization thermo-elastic multiple materials volume constraint mass constraint

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