| Topology optimization of anisotropic structure for arbitrary objective functionals with exact free boundary representation | |
Cui, Yi1 ; Yang, WZ(杨文志)2 ; Takahashi, Toru1; Matsumoto, Toshiro1 | |
| 2024-08-15 | |
| Source Publication | COMPUTERS & STRUCTURES Impact Factor & Quartile Of Published Year The Latest Impact Factor & Quartile |
| ISSN | 0045-7949 |
| EISSN | 1879-2243 |
| Volume | 300 |
| page numbers | 22 |
| Abstract | A new approach to performing sensitivity analysis of arbitrary objective functionals for anisotropic elasticity is proposed in this work. Three different objective functionals have been considered, and good agreement is achieved between derived topological derivatives and numerical ones. Following the verification of topological derivatives, structural topology optimizations for selected anisotropic problems are conducted. To efficiently achieve the exact free boundary representation, our Finite Element Method (FEM)-based optimization comprises two loops. In the initial loop, a fixed and coarse mesh is employed to solve the anisotropic problem and update the level-set function. Once this loop concludes, the second loop reconstructs the material domain, ensuring an exact boundary representation. The convergence of the second loop is facilitated by (1) utilizing topological derivatives instead of explicit derivatives of (similar to density derivatives) and (2) imposing the exact volume constraint on the Reaction-Diffusion Equation (RDE)-based level-set method. Moreover, we introduce a scheme to prevent structural breakdown, allowing for the standalone implementation of Loop 2 always with exact free boundary representation. The previously proposed algorithm for the exact volume constraint has been generalized to accommodate inequalities, resulting in an acceleration of the equivalent optimization process. © 2024 Elsevier Ltd |
| Keyword | Anisotropy Drop breakup Elasticity Hydrogels Level measurement Linear equations Numerical methods Sensitivity analysis Structural optimization Topology Anisotropic elasticity Boundary representations Exact volume constraint Free boundary Functionals General objective functional Level Set method Topological derivatives Topology optimisation Volume constraint |
| Publisher | Elsevier Ltd |
| DOI | 10.1016/j.compstruc.2024.107405 |
| Indexed By | EI ; SCIE |
| Language | 英语 |
| WOS Research Area | Computer Science ; Engineering |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Engineering, Civil |
| WOS ID | WOS:001246743900001 |
| EI Accession Number | 20242216172269 |
| EI Keywords | Shape optimization |
| EI Classification Number | 801.3 Colloid Chemistry ; 804 Chemical Products Generally ; 921 Mathematics ; 921.4 Combinatorial Mathematics, Includes Graph Theory, Set Theory ; 921.5 Optimization Techniques ; 921.6 Numerical Methods ; 931.2 Physical Properties of Gases, Liquids and Solids ; 943.2 Mechanical Variables Measurements |
| Original Document Type | Journal article (JA) |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | https://ir.lzu.edu.cn/handle/262010/592626 |
| Collection | 兰州大学 土木工程与力学学院 |
| Corresponding Author | Cui, Yi |
| Affiliation | 1.Department of Mechanical Systems Engineering, Nagoya University, Aichi, Japan; 2.Key Laboratory of Mechanics on Disaster and Environment in Western China, College of Civil Engineering and Mechanics, Lanzhou University, Gansu, China |
| Recommended Citation GB/T 7714 | Cui, Yi,Yang, Wenzhi,Takahashi, Toru,et al. Topology optimization of anisotropic structure for arbitrary objective functionals with exact free boundary representation[J]. COMPUTERS & STRUCTURES,2024,300. |
| APA | Cui, Yi,Yang, Wenzhi,Takahashi, Toru,&Matsumoto, Toshiro.(2024).Topology optimization of anisotropic structure for arbitrary objective functionals with exact free boundary representation.COMPUTERS & STRUCTURES,300. |
| MLA | Cui, Yi,et al."Topology optimization of anisotropic structure for arbitrary objective functionals with exact free boundary representation".COMPUTERS & STRUCTURES 300(2024). |
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