On Constitutive Models for Limited Elastic, Molecular Based Materials
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Publication:3629978
DOI10.1177/1081286507076405zbMath1175.74015OpenAlexW2160825805MaRDI QIDQ3629978
Publication date: 2 June 2009
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1059&context=engineeringmechanicsfacpub
Padé approximantsstrain energy functionsrubber elasticityconstitutive modelslimiting chain extensibilityGent modelArruda-Boyce modelmolecular based materials
Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20) Molecular, statistical, and kinetic theories in solid mechanics (74A25)
Related Items (21)
Inhomogeneous shearing of strain-stiffening rubber-like hollow circular cylinders ⋮ A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity ⋮ On a molecular statistical basis for Ogden's model of rubber elasticity ⋮ An explicit, direct approach to obtain multi-axial elastic potentials which accurately match data of four benchmark tests for rubbery materials. II: general deformations ⋮ An explicit, direct approach to obtaining multiaxial elastic potentials that exactly match data of four benchmark tests for rubbery materials. I: Incompressible deformations ⋮ A three-parameter structurally motivated robust constitutive model for isotropic incompressible unfilled and filled rubber-like materials ⋮ Infinitesimal stability of the equilibrium states of an incompressible, isotropic elastic tube under pressure ⋮ New compressible hyper-elastic models for rubberlike materials ⋮ Large elastic deformations of soft solids up to failure: new hyperelastic models with error estimation ⋮ Small-amplitude superimposed horizontal motion of a load supported symmetrically by rubber springs ⋮ Indentation of a prestretched strain-stiffening elastomer ⋮ Small superimposed radial oscillations for a class of damaged limited elastic tubes ⋮ Small longitudinal oscillations of a load on an incompressible, isotropic limited elastic spring ⋮ Elastic potentials with best approximation to rubberlike elasticity ⋮ Effect of damage on the free radial oscillations of an incompressible isotropic tube ⋮ Bounded elastic potentials for rubberlike materials with strain-stiffening effects ⋮ Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolation ⋮ Plane strain bending of strain-stiffening rubber-like rectangular beams ⋮ Small amplitude radial oscillations of an incompressible, isotropic elastic spherical shell ⋮ On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials ⋮ A model for rubberlike elasticity up to failure
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