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Tangent modulus tensor in abstract notation for compressible rubber-like materials

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Summary

In the nonlinear finite element method (NFEM) for rubber-like materials, it is necessary to formulate the tangent modulus tensor D. Using abstract tensor notation, the expression of D is given in this paper. The strain energy function is invariant-based, and the compressibility of the material is considered. According to the expression of D, two elastic laws, proposed by Knowles and Sternberg [3], and Gao [4], are inserted into DIANA — a finite element code. Several examples which have analytical solutions are given to test the program.

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Authors and Affiliations

  1. Institute of Mechanics, School of Civil Engineering and Architecture, Northern Jiaotong University, 100044, Beijing, People's Republic of China

    M. Jin & Y. C. Gao

Authors
  1. M. Jin
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  2. Y. C. Gao
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Jin, M., Gao, Y.C. Tangent modulus tensor in abstract notation for compressible rubber-like materials. Acta Mechanica 159, 189–197 (2002). https://doi.org/10.1007/BF01171455

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  • DOI: https://doi.org/10.1007/BF01171455

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