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

Jog, CS (2008) The Explicit Determination of the Logarithm of a Tensor and Its Derivatives. In: Journal of Elasticity, 93 (2). pp. 141-148.

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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.

Item Type:	Journal Article
Publication:	Journal of Elasticity
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Keywords:	Logarithm of a tensor;Derivatives.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	19 Jul 2009 05:57
Last Modified:	19 Sep 2010 04:52
URI:	http://eprints.iisc.ac.in/id/eprint/16439

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