The Explicit Determination of the Logarithm of a Tensor and Its Derivatives |
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Authors: | C S Jog |
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Institution: | (1) Dept. of Mechanical Eng., Indian Institute of Science, Bangalore, 560012, India |
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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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Keywords: | Logarithm of a tensor Derivatives |
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