Topology optimization of non-Fourier heat conduction problems considering global thermal dissipation energy minimization

In this paper, a topology optimization model is proposed for non-Fourier heat conduction design. In this model, the finite element discretization scheme and the Wilson- θ time discretization method are combined to analyze non-Fourier transient heat conduction that is represented by the Cattaneo-Vern...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2021-09, Vol.64 (3), p.1385-1399
Main Authors: Zhao, Qinghai, Zhang, Hongxin, Wang, Fajie, Zhang, Tiezhu, Li, Xinqing
Format: Article
Language:English
Subjects:
Asymptotes
Computational Mathematics and Numerical Analysis
Conduction heating
Conductive heat transfer
Design optimization
Discretization
Energy dissipation
Engineering
Engineering Design
Finite element method
Interpolation
Isotropic material
Mathematical analysis
Optimization
Research Paper
Sensitivity analysis
Theoretical and Applied Mechanics
Topology optimization
Transient heat conduction
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Summary:In this paper, a topology optimization model is proposed for non-Fourier heat conduction design. In this model, the finite element discretization scheme and the Wilson- θ time discretization method are combined to analyze non-Fourier transient heat conduction that is represented by the Cattaneo-Vernotte equation with a relaxation term. Based on the solid isotropic material with penalization (SIMP) interpolation model, the mathematical statement of the proposed optimization design is formulated by integrating the transient objective function over the time interval that considers thermal dissipation energy minimization. The adjoint variable method for sensitivity analysis and the method of moving asymptotes (MMA) for solving the optimization problem are discussed as well. Numerical examples illustrate the validity and applicability of the proposed non-Fourier heat conduction topology optimization by comparison with transient Fourier heat conduction design.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-021-02924-0