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Some Basis-Free Formulae for the Time Rate and Conjugate Stress of Logarithmic Strain Tensor

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Abstract

In this paper, two kinds of tensor equations are studied and their solutions are derived in general cases. Then, some compact basis-free representations for the time rate and conjugate stress of logarithmic strain tensors are proposed using six different methods. In addition, relations between the coefficients in these expressions are disclosed. Subsequently, all these basis-free expressions given in this paper are validated for the cases of distinct stretches and double coalescence, respectively.

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  1. Institute of Mechanics, Beijing Jiaotong University, Beijing, 100044, PR China

    Guan-Suo Dui

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Dui, GS. Some Basis-Free Formulae for the Time Rate and Conjugate Stress of Logarithmic Strain Tensor. J Elasticity 83, 113–151 (2006). https://doi.org/10.1007/s10659-005-9039-8

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  • DOI: https://doi.org/10.1007/s10659-005-9039-8

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