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Topology optimization of thermoelastic structures: mean compliance minimization or elastic strain energy minimization

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Abstract

In this work, two different formulations that minimize the mean compliance and elastic strain energy of a structure as the objective function are comparatively investigated for topology optimization of thermoelastic problems. As thermal load is a design-dependent load compared with mechanical load, the particularity of the problem and the difference between both formulations are highlighted in terms of sensitivity analysis and related optimization results based on numerical tests. The concept of load sensitivity is used to interpret quantitatively the underlying influences of thermal and mechanical loads upon optimized results in both formulations.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (10925212, 51275424), 973 Program (2011CB610304) and Research Fund for the Doctoral Program of Higher Education of China (20126102130003).

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Authors and Affiliations

  1. Engineering Simulation and Aerospace Computing, School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, 710072, China

    Weihong Zhang, Jungang Yang, Yingjie Xu & Tong Gao

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  1. Weihong Zhang
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  2. Jungang Yang
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  3. Yingjie Xu
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  4. Tong Gao
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Correspondence to Weihong Zhang.

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Zhang, W., Yang, J., Xu, Y. et al. Topology optimization of thermoelastic structures: mean compliance minimization or elastic strain energy minimization. Struct Multidisc Optim 49, 417–429 (2014). https://doi.org/10.1007/s00158-013-0991-9

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  • DOI: https://doi.org/10.1007/s00158-013-0991-9

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