Topology optimization of multi-material structures with explicitly graded interfaces

Liu, Baoshou; Huang, Xiaodong; Cui, Yinan

doi:10.1016/j.cma.2022.115166

Cited by 13 publications

(3 citation statements)

References 73 publications

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“…Taking advantage of the efficiency of the original heuristic topology generator, not suffering from the checkerboard effect, and exploiting the versatility of professional finite element-based structural analysis software made it possible to build a useful tool for the optimization of FGM structures as well as multi-material structures including the FGM interface. While working with multi-material structures, the idea of sub-domain-based multi-material topology optimization has been implemented as the alternative to the "free" multi-material design, e.g., [4][5][6][7][8][9][10][11][12][13]16]. The optimal topologies have, therefore, been generated under the restriction that the redistribution of material can be performed only within sub-domains selected for employed materials.…”

Section: Discussionmentioning

confidence: 99%

“…The multi-material topology optimization can involve two approaches. The first one regards searching for the optimal distribution of multiple materials in the specified design domain in order to meet design criteria, e.g., [4][5][6][7][8][9][10][11], designing interfaces made of functionally graded materials (FGM) between them [12,13] or generation of optimal layout and gradation of the FGM in the specified design domain, e.g., [14][15][16][17][18]. The extended literature overview on these subjects one can find also in [6] or [19].…”

Section: Introductionmentioning

confidence: 99%

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Cellular Automata Approach to Topology Optimization of Graded Multi-Material Structures

Tajs-Zielińska

Bochenek

2023

Applied Sciences

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Despite decades of progress, structural topology optimization is still one of the most important areas of engineering optimal design. The intensive research within this area has been stimulated by the development of efficient methods and algorithms on one side and the needs and demands of contemporary engineering on the other. Over the years, the practical aspect of topology optimization has become one of the most significant issues within the design community. Simultaneously, the range of design applications has been broadening. Among many research areas where topology optimization is present, attention has been paid to the design of multi-material structures. The gradation of the material properties has a significant influence on the final layout of the structure, so this problem can be treated as an extension of the classical task of the topology optimization of structures made of a material with uniform distributions of properties. While working with multi-material structures, the important role plays an interface between parts made of materials with different properties. In this paper, the implementation of interfaces made of functionally graded materials (FGM) is proposed. A functionally graded interface means that continuous and smooth changes of properties are assigned to a particular direction from one material surface to another. This paper presents the idea of topology optimization of graded multi-material structures using a simple, fast convergent technique based on the Cellular Automata approach. The proposal is to take the advantage of the versatility of efficient professional finite element-based structural analysis software and the simplicity of the original heuristic topology generator, to build a tool for the optimization of FGM structures as well as multi-material structures including the FGM interface.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cellular Automata Approach to Topology Optimization of Graded Multi-Material Structures

Tajs-Zielińska

Bochenek

2023

Applied Sciences

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“…Topology optimization of multi-materials is an extension of single-material-based topology optimization and can be used in the structural optimization of components, modules, and also mechanical systems, which has become a hot topic in recent years [1,2]. The challenge of topology optimization of multi-materials is exploring the appropriate mathematical formulation of the interpolation function and the optimization model, which enable each material in the design domain to be completely covered without overlapping, thus being easily manufactured [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

An Efficient Code for the Multi-Material Topology Optimization of 2D/3D Continuum Structures Written in Matlab

Zheng,

Yi,

Peng

et al. 2024

Applied Sciences

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This paper presents an efficient and compact Matlab code for 2D and 3D topology optimization of multi-materials. We extend a classical 88-line-based educational code to the multi-material problem using the mapping-based interpolation function, with which each material is modeled equally and can obtain a clear 0, 1 result for each material of the optimized structures that can be manufactured easily. A solution of topology optimization of multi-materials with minimum compliance under volume constraints is documented, including the details of the optimization model, filtering, projection, and sensitivity analysis procedures. Several numerical examples are also conducted to demonstrate the effectiveness of the code, and the influence of the parameter on the optimized results is also analyzed. Complete 2D and 3D Matlab codes are provided.

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Multi-material topology optimization design of microstructures with extreme mechanical properties

Meng,

Ren,

Tang

2025

Applied Mathematical Modelling

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Topology optimization of multi-material structures with explicitly graded interfaces

Cited by 13 publications

References 73 publications

Cellular Automata Approach to Topology Optimization of Graded Multi-Material Structures

Cellular Automata Approach to Topology Optimization of Graded Multi-Material Structures

An Efficient Code for the Multi-Material Topology Optimization of 2D/3D Continuum Structures Written in Matlab

Multi-material topology optimization design of microstructures with extreme mechanical properties

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