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Transformed Tensor Decomposition Method for Topology Optimization

delete2025-07-14
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PRE
AI
J
Jiayi Hu
张维声 (Weisheng Zhang)
唐少强 (Shaoqiang Tang) *
DOI:10.1002/nme.70061delete
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Abstract

Abstract

En 中文
In this paper, we propose a transformed tensor decomposition method for topology optimization. A transform is performed on the density variable to manipulate its range. The transformed variable is then decomposed as the sum of a number of modes, each in a variable-separated form. In this way, the number of design variables in discrete form and the optimization time used in each iteration are considerably reduced. Numerical tests are performed to illustrate the nice features of the proposed method with evidence for solving the problems of checkerboard and mesh-dependency.
Keywords:
reduced-order modeling
tensor decomposition
topology optimization

Journal

International Journal for Numerical Methods in Engineering cover
International Journal for Numerical Methods in Engineering
IF:
2.9
Papers:
419
Citations:
2.2W

Organization

D
Dalian University of Technology
Scholars:
5.8W
Papers: 4.3W
Citations: 5.5W
P
peking university
Scholars:
11.7W
Papers: 8.7W
Citations: 146