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Time Rates of Hill's Strain Tensors

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Abstract

Based on Hill's principal components formulae, two kinds of basis-free time rate formulae for Hill's strain tensors are proposed in this paper, which are obtained for the cases of distinct stretches, double coalescence and triple coalescence. Furthermore, relations between the coefficients in the representation for the strain tensor and its time derivative are disclosed.

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Authors and Affiliations

  1. Department of Civil Engineering and Mechanics, Nanjing University of Science and Technology, Nanjing, 21094, P.R, China

    Dui Guan-Suo & Shen Zhu-Jiang

  2. Civil Engineering, Hohai University, Janjing, 210098, P.R, China

    Dui Guan-Suo & Ren Qing-Wen

Authors
  1. Dui Guan-Suo
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  2. Dui Guan-Suo
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  3. Ren Qing-Wen
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  4. Shen Zhu-Jiang
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Guan-Suo, D., Guan-Suo, D., Qing-Wen, R. et al. Time Rates of Hill's Strain Tensors. Journal of Elasticity 54, 129–140 (1999). https://doi.org/10.1023/A:1007603221060

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