On the gradients of the principal invariants of a second-order tensor
type: Item
instance of: scholarly article
title: On the gradients of the principal invariants of a second-order tensor
zbMATH Open document ID: 0885.53013
DOI: 10.1007/BF00042137
published in: Journal of Elasticity
publication date: 1997-10-28T00:00:00Z
review text: The derivatives (also called gradients) of the principal invariants of an arbitrary second order tensor in an \(n\)-dimensional space are gien in [\textit{D. E. Carlson} and \textit{A. Hoger}, J. Elasticity 16, 221-224 (1986; Zbl 0585.73006)]. Guo derived them in two different ways in [\textit{Z. Guo}, J. Elasticity 22, 185-191 (1989; Zbl 0697.73015)], and the purpose of the present paper is to obtain them in a direct and more consistent way.
Mathematics Subject Classification ID: 53A45
Mathematics Subject Classification ID: 74A99
zbMATH DE Number: 1080929
zbMATH Keywords: principal invariants
zbMATH Keywords: second-order tensor
author: Jovo P. Jarić
reviewed by: Cornelia-Livia Bejan
MaRDI profile type: Publication
cites work: On the derivatives of the principal invariants of a second-order tensor
cites work: Derivatives of the principal invariants of a second-order tensor
cites work: Q4023641
cites work: Q3254327
cites work: Q4066182
full work available at URL: https://doi.org/10.1007/bf00042137
OpenAlex ID: W2008853517
description: scientific article; zbMATH DE number 1080929