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Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells

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Abstract

The optimal exponentials of thickness in the geometry rigidity inequality of shells represent the geometry rigidity of the shells. The author obtains that the lower bounds of the optimal exponentials are 4/3, 3/2, and 1, for hyperbolic shells, parabolic shells, and elliptic shells, respectively, through the construction of the Ansätze.

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Authors and Affiliations

  1. Key Laboratory of Systems and Control Institute of Systems Science, Academy of Mathematics and Systems Science Chinese Academy of Sciences, Beijing, 100190, China

    Pengfei Yao

  2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Pengfei Yao

Authors
  1. Pengfei Yao
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Corresponding author

Correspondence to Pengfei Yao.

Additional information

This research was supported by the National Science Foundation of China under Grant Nos. 12071463 and 61573342, and Key Research Program of Frontier Sciences, Chinese Academy of Sciences, under Grant No. QYZDJ-SSW-SYS011.

This paper was recommended for publication by Editor GUO Jin.

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Yao, P. Lower Bounds of Optimal Exponentials of Thickness in Geometry Rigidity Inequality for Shells. J Syst Sci Complex 34, 2092–2108 (2021). https://doi.org/10.1007/s11424-020-0075-z

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  • DOI: https://doi.org/10.1007/s11424-020-0075-z

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