A tensorial Hencky measure of strain and strain rate for finite deformations
- 1 October 1980
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 51 (10) , 5111-5115
- https://doi.org/10.1063/1.327428
Abstract
A proper tensorial logarithmic strain measure and its associated time rate of change is developed using an equivalence between the expressions for an isotropic tensor function and the Sylvester‐Lagrange formalism. It is shown that the specific Cauchy stress T/ρ is derivable from a potential with respect to this strain measure. A modified stress TF is shown to be derivable from a potential with respect to the left polar decomposition of the deformation gradient. Advantages and disadvantages of this formulation are discussed.This publication has 3 references indexed in Scilit:
- On constitutive inequalities for simple materials—IPublished by Elsevier ,2002
- Constitutive inequalities for isotropic elastic solids under finite strainProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1970
- Stress-Strain Relations for Finite Elastoplastic DeformationsJournal of Applied Mechanics, 1948