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A theorem on potential of isotropic symmetric second-order tensor function

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Abstract

In this paper we propose and prove the following theorem: If the second-order tensorH is an isotropic function of a symmetric second-order tensorT, and there exists a potential function forH, then there will certainly exist a potential function forT, too.

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References

  1. Sedov, L.I.,Introduction to the Mechanics of a Continuous Medium, Fizmatgiz, Moscow, (1962). (in Russian)

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Authors and Affiliations

  1. Department of Mechanical Engineering, Shanghai University of Technology, Shanghai

    Cheng Yuan-sheng

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  1. Cheng Yuan-sheng
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Yuan-sheng, C. A theorem on potential of isotropic symmetric second-order tensor function. Appl Math Mech 4, 93–96 (1983). https://doi.org/10.1007/BF01896716

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  • DOI: https://doi.org/10.1007/BF01896716

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