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A rate type method for large deformation problems of nonlinear elasticity

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Abstract

In this paper, we obtain the rate-type constitutive expressions of the nonlinear isotropic elasticity by using the Jaumann, Truesdell and Green-Naghdi stress rate respectively. Through analysing the simple shear deformation for Mooney-Rivlin material, three kinds of rate-type constitutive equations are verified to be equivalent to the original equation. Rate-type variational principles are also presented, and the Ritz method is used to obtain the numerical solution of a rectangular rubber membrane under uniaxial stretch.

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Authors and Affiliations

  1. Talyuan University of Technology, Taiyuan

    Liang Fei & Zhang Shan-yuan

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  1. Liang Fei
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  2. Zhang Shan-yuan
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Communicated by Yang Gui-tong

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Fei, L., Shan-yuan, Z. A rate type method for large deformation problems of nonlinear elasticity. Appl Math Mech 15, 125–133 (1994). https://doi.org/10.1007/BF02451047

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  • DOI: https://doi.org/10.1007/BF02451047

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