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An adaptive phase-field method for structural topology optimization

Jin, Bangti; Li, Jing; Xu, Yifeng; Zhu, Shengfeng; (2024) An adaptive phase-field method for structural topology optimization. Journal of Computational Physics , 506 , Article 112932. 10.1016/j.jcp.2024.112932. Green open access

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Abstract

In this work, we develop an adaptive algorithm for the efficient numerical solution of the minimum compliance problem in topology optimization. The algorithm employs the phase field approximation and continuous density field. The adaptive procedure is driven by two residual type a posteriori error estimators, one for the state variable and the other for the first-order optimality condition of the objective functional. The adaptive algorithm is provably convergent in the sense that the sequence of numerical approximations generated by the adaptive algorithm contains a subsequence convergent to a solution of the continuous first-order optimality system. We provide several numerical simulations to show the distinct features of the algorithm.

Type: Article
Title: An adaptive phase-field method for structural topology optimization
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jcp.2024.112932
Publisher version: http://dx.doi.org/10.1016/j.jcp.2024.112932
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Minimum compliance, Adaptive algorithm, Topology optimization, convergence, A posteriori error estimator
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10191469
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