Modelling slight compressibility for hyperelastic anisotropic materials

DOI10.1007/s10659-017-9650-5zbMath1451.74050OpenAlexW2731220374MaRDI QIDQ1743786

Jeremiah G. Murphy, Graham A. Rogerson

Publication date: 16 April 2018

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

Full work available at URL: http://eprints.keele.ac.uk/3659/1/comp%20revision-1.pdf

zbMATH Keywords

nonlinearly elastic materialsslightly compressiblevolumetric-isochoric split

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10)

Related Items (4)

Morrey's conjecture for the planar volumetric-isochoric split: least rank-one convex energy functions ⋮ Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis ⋮ A commented translation of Hans Richter’s early work “The isotropic law of elasticity” ⋮ Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split

Cites Work

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• Determination of material models for arterial walls from uniaxial extension tests and histological structure
• On anisotropic elasticity and questions concerning its finite element implementation
• On the physical assumptions underlying the volumetric-isochoric split and the case of anisotropy
• The Importance of the Compatibility of Nonlinear Constitutive Theories With Their Linear Counterparts
• An Existence Theorem for Slightly Compressible Materials in Nonlinear Elasticity
• Volumetric-Distortional Decomposition of Deformation and Elasticity Tensor
• Das isotrope Elastizitätsgesetz

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