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The shape optimization of underground caverns based on strain energy criterion via explicit interface tracking methods

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Abstract

We applied a shape optimization algorithm based on an explicit interface tracking method to optimize underground caverns. The objective chosen in the present work is to minimize the strain energy. The algorithm can search the optimized solution in a large design space automatically, achieve large-scale shape deformation, and obtain smooth boundaries in the optimized shapes. Through the numerical examples, we verify the feasibility of the method applied in the underground cavern optimization, and more importantly, investigate the influence of the distribution of in situ stresses and the bedding properties on the optimized shape of the underground caverns.

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Acknowledgements

The authors are sincerely grateful for the support of the National Natural Science Foundation of China (Nos.51904202, 51904196).

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Authors and Affiliations

  1. Key Laboratory of In-situ Property-improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, Shanxi, China

    Haojie Lian

  2. College of Mining Engineering, Taiyuan University of Technology, Taiyuan, 030024, Shanxi, China

    Pengfei Wu

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  1. Haojie Lian
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  2. Pengfei Wu
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Correspondence to Haojie Lian.

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Lian, H., Wu, P. The shape optimization of underground caverns based on strain energy criterion via explicit interface tracking methods. Int J Adv Eng Sci Appl Math 12, 183–192 (2020). https://doi.org/10.1007/s12572-020-00281-7

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  • DOI: https://doi.org/10.1007/s12572-020-00281-7

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