Spectral decomposition of the compliance fourth-rank tensor for orthotropic materials
type: Item
instance of: scholarly article
title: Spectral decomposition of the compliance fourth-rank tensor for orthotropic materials
zbMATH Open document ID: 0993.74013
published in: Archive of Applied Mechanics
publication date: 2002-09-29T00:00:00Z
review text: The authors present at first a critical overview concerning the literature on the decomposition of compliance tensor in anisotropic, especially in orthotropic elasticity theory. Then they summarize the results on the spectral decomposition showing that the elastic properties of an orthotropic medium can be completely characterized by 9 parameters, namely 6 eigenvalues of compliance tensor and 3 eigenangles. In addition, the relations between these parameters and the elastic moduli are established, and bounds on Poisson ratio are given. The discussion includes also transversely isotropic and isotropic media. Especially, the authors show that an orthotropic body, under a specific coupling of its elastic constants, may exhibit elastic characteristics similar to those of an isotropic body. Illustrative figures complement the presentation.
reviewed by: Hans Bufler
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 1488294
zbMATH Keywords: compliance fourth-rank tensor
zbMATH Keywords: orthotropic elasticity theory
zbMATH Keywords: spectral decomposition
zbMATH Keywords: elastic moduli
zbMATH Keywords: bounds on Poisson ratio
author: Pericles S. Theocaris
author: Dimitrios P. Sokolis
MaRDI profile type: Publication
full work available at URL: s004199900066
OpenAlex ID: W2040717041
DOI: 10.1007/S004199900066
description: scientific article; zbMATH DE number 1488294