A 120 lines code for isogeometric topology optimization and its extension to 3D in MATLAB Article Swipe

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Xianda Xie , Z. Y. Ou , Aodi Yang , Xiaobing Li , Shuting Wang ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2504.08233

In this paper, a compact and efficient code implementation is presented for isogeometric topology optimization (ITO) approach. With the aid of Bėzier extraction technique, a derived explicit stiffness matrix computation formula is applied to all B-spline IGA elements with rectangular shape under linear elasticity assumption. Using the aforementioned explicit formula, the stiffness matrix calculation and updating of IGA are significantly simplified, which leads to the current ITO code implemented only in one main function without calling subroutines, such as IGA mesh generation and Gaussian quadrature. Both two-dimensional (2D) and three-dimensional (3D) cases are taken into consideration, which result into iga_top120 and iga_top3D257 MATLAB codes for 2D and 3D design problems. Numerical examples validate the effectiveness of our open-source codes, with several user-defined input parameters basically identical to those used in top88 and top3D. Therefore, iga_top120 and iga_top3D257 provide an effective entry for the code transforming from FEM-based TO into ITO.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2504.08233
PDF: https://arxiv.org/pdf/2504.08233
OA Status: green
OpenAlex ID: https://openalex.org/W4414827783

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OpenAlex ID: https://openalex.org/W4414827783

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DOI: https://doi.org/10.48550/arxiv.2504.08233

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Title: A 120 lines code for isogeometric topology optimization and its extension to 3D in MATLAB

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Type: preprint

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Language: en

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Publication year: 2025

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Publication date: 2025-04-11

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Authors: Xianda Xie, Z. Y. Ou, Aodi Yang, Xiaobing Li, Shuting Wang

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Landing page: https://arxiv.org/abs/2504.08233

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PDF URL: https://arxiv.org/pdf/2504.08233

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Open access: Yes

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OA status: green

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Cited by: 0

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