On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues

DOI10.1007/s10659-011-9363-0zbMath1243.74016OpenAlexW2057147286MaRDI QIDQ438912

Cornelius O. Horgan, Jeremiah G. Murphy

Publication date: 31 July 2012

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

Full work available at URL: https://doi.org/10.1007/s10659-011-9363-0

zbMATH Keywords

asymptotic analysisincompressible transversely isotropic materialsnonlinear theory of elasticitypapillary muscles of the heartreverse Poynting effecttorsion superimposed on extension

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)

Related Items

Inflation, extension and torsion analysis of compressible functionally graded hyperelastic tubes, Nonlinear effects in composite cylinders: relations and dependence on inhomogeneities, Modelling fibers in growing disks of soft tissues, Kinking instability in the torsion of stretched anisotropic elastomeric filaments, Extension or compression induced twisting in fiber-reinforced nonlinearly elastic circular cylinders, At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials, Reverse Poynting effects in the torsion of soft biomaterials

Cites Work

• Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders
• On extension and torsion of strain-stiffening rubber-like elastic circular cylinders
• Cavitation for incompressible anisotropic nonlinearly elastic spheres
• Rivlin's representation formula is ill-conceived for the determination of response functions via biaxial testing
• Fitting hyperelastic models to experimental data
• Extension and torsion of incompressible non-linearly elastic solid circular cylinders
• Nonlinear Theory of Elasticity
• Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
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