A Note on the Constitutive Equation for an Isotropic Elastic Material

A Note on the Constitutive Equation for an Isotropic Elastic Material

The relation is established between the constitutive equations for the stress in an isotropic elastic material based on strain-energy functions that are functions of the right Cauchy-Green strain matrix and the right stretch matrix. It is shown that results to problems obtained on the basis of the l...

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Veröffentlicht in:Mathematics and mechanics of solids 2004-04, Vol.9 (2), p.121-129
1. Verfasser: Rivlin, Ronald S.
Format: Artikel
Sprache:eng
Schlagworte:
Constitutive equations
Constitutive relationships
Mathematical analysis
Strain
Stresses
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Beschreibung
Zusammenfassung:The relation is established between the constitutive equations for the stress in an isotropic elastic material based on strain-energy functions that are functions of the right Cauchy-Green strain matrix and the right stretch matrix. It is shown that results to problems obtained on the basis of the latter can be simply obtained from those derived on the basis of the former.
ISSN:1081-2865
1741-3028
DOI:10.1177/1081286504042588