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On the derivation for the gradients of the principal invariants

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Abstract

In this notes, it is shown that the method carried out by Truesdell and Noll [1] for the gradients of the principal invariants is available to be used for arbitrary second-order A. Finally, some trace identities for the derivatives of invariants are given.

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References

  1. C. Truesdell and W. Noll, The non-linear field theories of mechanics. In: S. Flügge (ed.), Handbuch der Physik, Vol. III/3. Springer, Berlin (1965).

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Authors and Affiliations

  1. Institute of Mechanics, Beijing Jiaotong University, 100044, Beijing, P. R. China

    Guansuo Dui, Ming Jin & Haiming Huang

Authors
  1. Guansuo Dui
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  2. Ming Jin
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  3. Haiming Huang
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Dui, G., Jin, M. & Huang, H. On the derivation for the gradients of the principal invariants. J Elasticity 75, 193–196 (2005). https://doi.org/10.1007/s10659-005-4150-4

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  • DOI: https://doi.org/10.1007/s10659-005-4150-4

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