Three-dimensional plasticity-based topology optimization with smoothed finite element analysis

Li, Xifan ORCID: 0000-0002-0544-4765, Zhang, Xue ORCID: 0000-0002-0892-3665 and Zhang, Yujia (2023) Three-dimensional plasticity-based topology optimization with smoothed finite element analysis. Computational Mechanics, 73 (3). pp. 533-548.

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Official URL: http://dx.doi.org/10.1007/s00466-023-02378-9

Abstract

<jats:title>Abstract</jats:title><jats:p>This paper presents a novel plasticity-based formulation for three-dimensional (3D) topology optimization of continuum structures. The proposed formulation addresses the optimization problem by combining mixed rigid-plastic analysis with density-based topology optimization, resulting in a volume minimization approach. Unlike conventional stress-constrained topology optimization methods that rely on linear elastic structural analysis, our developed formulation focuses on enhancing the loading capacity of the designed structures based on the plastic limit theory, leading to more cost-effective designs. To improve computational efficiency, we employ the smoothed finite element technique in our proposed method, enabling the utilization of linear tetrahedral elements for 3D mesh refinement. Moreover, the final formulation of our developed method can be efficiently solved using the advanced primal–dual interior point method, eliminating the need for a separate nonlinear finite element structural analysis. Numerical examples are presented to demonstrate the effectiveness of the proposed approach in offering enhanced design possibilities for continuum structures.</jats:p>

Item Type:	Article
Uncontrolled Keywords:	Topology optimization, Limit analysis, Plasticity theory, Density-based method, Smoothed FEM
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	29 Aug 2023 08:20
Last Modified:	25 Mar 2024 04:20
DOI:	10.1007/s00466-023-02378-9
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3172358