Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material

DOI10.1007/S10665-009-9318-7zbMath1310.74009OpenAlexW2087445355MaRDI QIDQ718920

D. Kharzeev

Publication date: 27 September 2011

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-009-9318-7

zbMATH Keywords

anisotropic elasticityfinite elasticitylarge deformationsloss of ellipticity

Mathematics Subject Classification ID

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

Related Items (8)

Area-preserving azimuthal shear deformation of an incompressible isotropic hyper-elastic tube ⋮ Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube ⋮ Swelling-twist interaction in fiber-reinforced hyperelastic materials: the example of azimuthal shear ⋮ On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube ⋮ Swelling induced twist in hyperelastic tubes due to spiral patterned biasing fibers in the cross section ⋮ Swelling and axial propagation of bulging with application to aneurysm propagation in arteries ⋮ Area-preserving azimuthal shear deformation of an incompressible tube reinforced by radial fibres ⋮ Azimuthal shear of doubly fibre-reinforced, non-linearly elastic cylindrical tubes

Cites Work

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• Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem
• The influence of the invariant \(I_8\) on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids
• Discontinuous deformation gradients in plane finite elastostatics of incompressible materials
• Discontinuous deformation gradients in the finite twisting of an incompressible elastic tube
• Azimuthal Shear of a Transversely Isotropic Elastic Solid
• On azimuthal shear of a circular cylindrical tube of compressible elastic material
• On compressible materials capable of sustaining axisymmetric shear deformations. IV: Helical shear of anisotropic hyperelastic materials.

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