Structural topology optimization in linear and nonlinear elasticity using a discontinuous Galerkin finite element method

Yixin Tan; Lingkang Yan; Shengfeng Zhu

doi:10.2478/candc-2024-0012

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Structural topology optimization in linear and nonlinear elasticity using a discontinuous Galerkin finite element method

Control and Cybernetics

Volume 53 (2024): Issue 1 (March 2024)

By: Yixin Tan, Lingkang Yan and Shengfeng Zhu

Open Access

|Jan 2025

Abstract

A discontinuous Galerkin finite element method is developed for structural topology optimization with the level set method. The discontinuous Galerkin finite element method is employed to discretize and solve both the elasticity system, possible adjoint, and the transport equation of the level set function. Structural compliance and compliant mechanisms are considered for linear and nonlinear elastic structures. Numerical examples are provided to verify the effectiveness of the algorithm presented.

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Articles in this issue

DOI: https://doi.org/10.2478/candc-2024-0012 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 283 - 315

Submitted on: Jun 1, 2024

Accepted on: Aug 1, 2024

Published on: Jan 17, 2025

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

topology optimization,

level set method,

discontinuous Galerkin finite element method,

Related subjects:

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2025 Yixin Tan, Lingkang Yan, Shengfeng Zhu, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 53 (2024): Issue 1 (March 2024)