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Multi-Material Topology Optimization of Thermo-Elastic Structures with Stress Constraint

Author

Listed:
  • Jianliang Chen

    (School of Mechanical and Electrical Engineering, Qingdao University, Qingdao 266071, China)

  • Qinghai Zhao

    (School of Mechanical and Electrical Engineering, Qingdao University, Qingdao 266071, China
    National Engineering Research Center for Intelligent Electrical Vehicle Power System, Qingdao University, Qingdao 266071, China)

  • Liang Zhang

    (School of Mechanical and Electrical Engineering, Qingdao University, Qingdao 266071, China)

Abstract

This paper proposes a multi-material topology optimization formulation for thermo-elastic structures considering coupled mechanical and uniform thermal loads. The ordered-SIMP multiple materials interpolation model is introduced, combined with examples considering structural volume minimization under stress constraints. The p -norm function with the adjusted coefficient was adopted to measure the global maximum stress. The adjoint variable method is presented to discuss the sensitivity of stress constraints, and the method of moving asymptotes (MMA) is utilized to update the design variables. The results demonstrate that clear topologies are obtained for complicated multiple material combinations with various temperature values. Meanwhile, the optimized configuration with stress constraints has clear sensitivity to uniform temperature variations. Therefore, the proposed model demonstrates the necessity of a thermo-elastic model influenced by temperature in optimization.

Suggested Citation

  • Jianliang Chen & Qinghai Zhao & Liang Zhang, 2022. "Multi-Material Topology Optimization of Thermo-Elastic Structures with Stress Constraint," Mathematics, MDPI, vol. 10(8), pages 1-18, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1216-:d:789206
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    References listed on IDEAS

    as
    1. Qu, Wenzhen & Sun, Linlin & Li, Po-Wei, 2021. "Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 347-357.
    2. Xiao Wang & Juan Wang & Xin Wang & Chujun Yu, 2022. "A Pseudo-Spectral Fourier Collocation Method for Inhomogeneous Elliptical Inclusions with Partial Differential Equations," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
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