Transformed Tensor Decomposition Method for Topology Optimization

作者：Jiayi Hu, Weisheng Zhang, Shaoqiang Tang · 发表于：International Journal for Numerical Methods in Engineering · 年份：2025 · DOI：10.1002/nme.70061 · 被引用次数：2 · 研究领域：Topology Optimization in Engineering、Composite Structure Analysis and Optimization、Composite Material Mechanics

ABSTRACT 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.