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Abstract
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.
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1 Qingdao University, National and Local Union Engineering Research Center of Electric Vehicle Intelligent Power Integration Technology, Qingdao, China (GRID:grid.410645.2) (ISNI:0000 0001 0455 0905); Qingdao University, College of Mechanical and Electrical Engineering, Qingdao, China (GRID:grid.410645.2) (ISNI:0000 0001 0455 0905)
2 Qingdao University, College of Mechanical and Electrical Engineering, Qingdao, China (GRID:grid.410645.2) (ISNI:0000 0001 0455 0905)
3 Qingdao University, National and Local Union Engineering Research Center of Electric Vehicle Intelligent Power Integration Technology, Qingdao, China (GRID:grid.410645.2) (ISNI:0000 0001 0455 0905)