A parallel parameterized level set method for large-scale structural topology optimization under design-dependent load

This paper proposes a topology optimization framework for three-dimensional continuum structures subjected to design-dependent loads, including gravity, centrifugal, and hydrostatic pressure loads. First, this study utilizes the parameterized level set method (PLSM) with unstructured meshes to effec...

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Vydáno v:Computer methods in applied mechanics and engineering Ročník 443; s. 118032
Hlavní autoři: Wei, Peng, Cheng, Ben, Lin, Haoju, Liu, Hui
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.08.2025
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ISSN:0045-7825
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Abstract This paper proposes a topology optimization framework for three-dimensional continuum structures subjected to design-dependent loads, including gravity, centrifugal, and hydrostatic pressure loads. First, this study utilizes the parameterized level set method (PLSM) with unstructured meshes to effectively handle complex structural shapes and boundary conditions. Second, this work employs parallel computing techniques and uses the shape function as the basis function in PLSM to significantly enhance computational efficiency. Additionally, this study comprehensively analyzes design-dependent loads and addresses topology optimization of large-scale structures under complex load conditions. This study overcomes the lack of research on complicated 3D design-dependent load problems. It aims to broaden the application of topology optimization techniques, making them more applicable to engineering practices, such as large-scale underwater structures. Finally, several 3D examples demonstrate the proposed framework’s efficiency, stability, and ability to generate innovative structural designs. •A parameterized level set method based on shape functions and unstructured meshes.•Distributed-memory parallel computing is used on large-scale topology optimization.•Study analyzes design-dependent loads: gravity, centrifugal, and hydrostatic loads.•The algorithm has good stability, efficiency, and scalability.
AbstractList This paper proposes a topology optimization framework for three-dimensional continuum structures subjected to design-dependent loads, including gravity, centrifugal, and hydrostatic pressure loads. First, this study utilizes the parameterized level set method (PLSM) with unstructured meshes to effectively handle complex structural shapes and boundary conditions. Second, this work employs parallel computing techniques and uses the shape function as the basis function in PLSM to significantly enhance computational efficiency. Additionally, this study comprehensively analyzes design-dependent loads and addresses topology optimization of large-scale structures under complex load conditions. This study overcomes the lack of research on complicated 3D design-dependent load problems. It aims to broaden the application of topology optimization techniques, making them more applicable to engineering practices, such as large-scale underwater structures. Finally, several 3D examples demonstrate the proposed framework’s efficiency, stability, and ability to generate innovative structural designs. •A parameterized level set method based on shape functions and unstructured meshes.•Distributed-memory parallel computing is used on large-scale topology optimization.•Study analyzes design-dependent loads: gravity, centrifugal, and hydrostatic loads.•The algorithm has good stability, efficiency, and scalability.
ArticleNumber 118032
Author Wei, Peng
Liu, Hui
Cheng, Ben
Lin, Haoju
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  givenname: Hui
  orcidid: 0000-0002-8051-2932
  surname: Liu
  fullname: Liu, Hui
  email: h.liu@whu.edu.cn
  organization: Department of Engineering Mechanics, School of Civil Engineering, Wuhan University, Wuhan 430072, China
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Keywords Topology optimization
Design-dependent load
Parallel computing
Parameterized level set method
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Snippet This paper proposes a topology optimization framework for three-dimensional continuum structures subjected to design-dependent loads, including gravity,...
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SubjectTerms Design-dependent load
Parallel computing
Parameterized level set method
Topology optimization
Title A parallel parameterized level set method for large-scale structural topology optimization under design-dependent load
URI https://dx.doi.org/10.1016/j.cma.2025.118032
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