Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids

Keywords

Isotropy, Elasticity (physics), Hyperelastic material, Strain energy density function, Strain energy

References

• A Theory of Large Elastic DeformationM. Mooney — 1940
• Volume changes and mechanical anisotropy of strained rubbersL. R. G. Treloar — 1969
• On the deformation of solid and tubular cylinders of incompressible isotropic elastic materialRay W. Ogden, P. Chadwick — 1972
• The interaction between rubber and liquids. IX. The elastic behaviour of dry and swollen rubbersGeoffrey Gee — 1946
• Theoretical stress/temperature relations for rubber in torsionL. R. G. Treloar — 1969
• The physics of rubber elasticityL. R. G. Treloar, D. J. Montgomery — 1949
• COMPRESSIBLE ISOTROPIC ELASTIC SOLIDS UNDER FINITE STRAIN-CONSTITUTIVE INEQUALITIESRay W. Ogden — 1970
• Application of The Valanis‐Landel Theory to Small Deformations Superposed on a Finite StretchT. J. Peng, N. W. Tschoegl — 1971
• Thermodynamics of elasticity of natural rubberG. C. Allen, Umberto Bianchi, Colin Price — 1964
• The Thermodynamics of a Strained Elastomer. II. CompressibilityL. E. Copeland — 1948
• Volume changes in the stretching of vulcanized natural rubberGeoffrey Gee, Jan Stern, L. R. G. Treloar — 1951
• Application of Finite Elastic Theory to the Deformation of Rubbery MaterialsP. J. Blatz, William L. Ko — 1962
• Finite Deformation of an Elastic SolidI. N. Steddon — 1954
• The Non-Linear Field Theories Of MechanicsC. Truesdell, Walter Noll — 1992

Cited by

• Active, polymer-based composite material implementing simple shearSang Jin Lee — 2008
• How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticityCristina Sánchez Caballero, Luís Mansilla Plaza, F. Jiménez — 2017
• Plane crack propagation in a hyperelastic incompressible materialGilles Loppin — 2001
• Étude du couplage aéro-mécanique au sein des moteurs à propergol solideS. Cerqueira — 2012
• Assessment of the applicability of XFEM in Abaqus for modeling crack growth in rubber.Luigi Gigliotti — 2012
• The Effect of Elastic Surface Coating on the Finite Deformation and Bifurcation of a Pressurized Circular AnnulusRay W. Ogden, David J. Steigmann, D.M. Haughton — 1997
• Pointwise identification of elastic properties in nonlinear heterogeneous membranes, and application to soft tissuesXuefeng Zhao — 2009
• Nonlinear Finite Element Analysis in the Closed Loop Seal Design CycleVinay Nilkanth, Alan Campbell — 1991
• On a new class of elastic deformations not allowing for cavitationStefan Müller, Qi Tang, Baisheng Yan — 1994
• Contribution à l'étude expérimentale et numérique du comportement hyperélastique et anisotrope de la peau humaineDjamel Remache — 2013
• Simulation de modèles personnalisés du coeur pour la prédiction de thérapies cardiaquesS. Marchesseau — 2013
• Mechanical gluteal soft tissue material parameter validation under complex tissue loadingChristophe Then, J. Menger, Thomas J. Vogl — 2009
• Modeling friction phenomena and elastomeric dampers in multibody dynamics analysisChangkuan Ju — 2009
• Discontinuous solutions and boundary value problems for non-linearly elastic fibre-reinforced materialsMustapha El Hamdaoui — 2014
• Modélisation mathématique de l’athéroscléroseN. El Khatib — 2009
• Application of variational principles to the axial extension of a circular cylindical nonlinearly elastic membraneJ. B. Haddow, L. Favre, Ray W. Ogden — 2000
• CONTRIBUTION A L'ETUDE DES ELASTOMERES ET DES MEMBRANES SOUFFLEESGilles Marckmann — 2004
• Vibration and Aeroelastic Analysis of Highly Flexible HALE AircraftChong-Seok Chang — 2006
• Contribution à l'étude de micromuscles artificiels activables par pression osmotique et implantables en milieu biologiqueVincent Gaudin — 2007
• COMPARING RECTANGULAR AND TRAPEZOIDAL SEALS USING THE FINITE ELEMENT METHODMichel F Khuri, Egons Tons — 1992

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