Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials

DOI10.1016/j.ijengsci.2008.10.009zbMath1213.74075OpenAlexW2005260659MaRDI QIDQ540985

Jeremiah G. Murphy, Cornelius O. Horgan

Publication date: 4 June 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2008.10.009

zbMATH Keywords

slight compressibilityconstitutive modelscompression testselastic rubber-like materials

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05)

Related Items (10)

Slight compressibility and sensitivity to changes in Poisson's ratio ⋮ On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers ⋮ Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials ⋮ An explicit, direct approach to obtain multi-axial elastic potentials which accurately match data of four benchmark tests for rubbery materials. II: general deformations ⋮ The mechanical behaviour of rubber under hydrostatic compression and the effect on the results of finite element analyses ⋮ Comparison behavior of two compressible isotropic hyperelastic models in framework of a coupled axial stretch to simple shear test ⋮ New compressible hyper-elastic models for rubberlike materials ⋮ On the propagation of weak shock waves in compressible thermohyperelastic solids ⋮ A 3-field formulation for strongly transversely isotropic compressible finite hyperelasticity ⋮ Volumetric locking issue with uncertainty in the design of locally resonant acoustic metamaterials

Cites Work

• Hyperelastic constitutive model for rubber-like materials based on the first Seth strain measures invariant
• The attainable region of strain-invariant space for elastic materials
• The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials
• Volume changes associated with the deformation of rubber-like solids
• Rivlin's representation formula is ill-conceived for the determination of response functions via biaxial testing
• Fitting hyperelastic models to experimental data
• Admissibility conditions on principal strain invariants
• Constitutive models for almost incompressible isotropic elastic rubber-like materials
• The Poisson Function of Finite Elasticity
• The Static Theory of Finite Elasticity
• Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
• Finite strains in an anisotropic elastic continuum
• An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity
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