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Stresses conjugate to the Jaumann rate of Eulerian strain measures

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In this paper basis-free expressions are derived for the stresses conjugate to the Jaumann rate of the general Eulerian strain measures. The component-form of the expressions is also presented. The basis-free results are compact and also valid for all different cases of distinct and coalescent principal stretches. As an example, the compact basis-free expressions for the stress conjugate to the Jaumann rate of logarithmic strain lnV are determined.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

    M. Asghari, R. Naghdabadi & S. Sohrabpour

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  1. M. Asghari
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  2. R. Naghdabadi
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  3. S. Sohrabpour
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Correspondence to R. Naghdabadi.

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Asghari, M., Naghdabadi, R. & Sohrabpour, S. Stresses conjugate to the Jaumann rate of Eulerian strain measures. Acta Mechanica 190, 45–56 (2007). https://doi.org/10.1007/s00707-006-0424-6

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