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The Explicit Determination of the Logarithm of a Tensor and Its Derivatives

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Abstract

The logarithm of a tensor is often used in nonlinear constitutive relations of elastic materials. Here we show how the logarithm of an arbitrary tensor can be explicitly evaluated for any underlying space dimension n. We also present a method for the explicit evaluation of the derivatives of the logarithm of a tensor.

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Authors and Affiliations

  1. Dept. of Mechanical Eng., Indian Institute of Science, Bangalore, 560012, India

    C. S. Jog

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  1. C. S. Jog
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Correspondence to C. S. Jog.

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Jog, C.S. The Explicit Determination of the Logarithm of a Tensor and Its Derivatives. J Elasticity 93, 141–148 (2008). https://doi.org/10.1007/s10659-008-9169-x

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  • DOI: https://doi.org/10.1007/s10659-008-9169-x

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