The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials

DOI10.1007/s10659-007-9131-3zbMath1147.74007OpenAlexW2076727034MaRDI QIDQ948774

Jeremiah G. Murphy, Cornelius O. Horgan

Publication date: 20 October 2008

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-007-9131-3

zbMATH Keywords

volume changegeneralized Varga modelpower-law kinematic relation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (4)

On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers ⋮ Further results on stretch formulations of simple shear and pure torsion for incompressible isotropic hyperelastic materials ⋮ Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials ⋮ Extension and torsion of incompressible non-linearly elastic solid circular cylinders

Cites Work

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• Volume changes associated with the deformation of rubber-like solids
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• Nearly isochoric elastic deformations: volume changes in plane strain
• Transformations and Equation Reductions in Finite Elasticity I: Plane Strain Deformations
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• Transformations and Equation Reductions in Finite Elasticity III: A General Integral for Plane Strain Deformations
• Finite strains in an anisotropic elastic continuum
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