On the adequacy of the existing restrictions on the constitutive relations to ensure reasonable elastic response of compressible bodies

DOI10.1016/j.mechrescom.2011.01.008zbMath1272.74012OpenAlexW2003531047MaRDI QIDQ366666

U. Saravanan

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641311000103

zbMATH Keywords

inflationextensionisotropicellipticity conditionBaker-Ericksen inequalities

Mathematics Subject Classification ID

Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99)

Cites Work

• Unnamed Item
• Ellipticity and deformations with discontinuous gradients in finite elastostatics
• Sufficient conditions for strong ellipticity for a class of anisotropic materials
• On strong ellipticity for isotropic hyperelastic materials based upon logarithmic strain
• On the conditions of potentiality in finite elasticity and hypoelasticity
• Conditions on the elastic strain-energy function
• On the thermostatics of continuous media
• Instability of an elastic material
• Propagation of a plane wave in an isotropic elastic material subjected to pure homogeneous deformation
• Static grounds for inequalities in finite strain of elastic materials
• Restrictions on the Strain-Energy Function for an Elastic Material
• Das ungelöste Hauptproblem der endlichen Elastizitätstheorie
• A new constitutive framework for arterial wall mechanics and a comparative study of material models

This page was built for publication: On the adequacy of the existing restrictions on the constitutive relations to ensure reasonable elastic response of compressible bodies