Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube

DOI10.1007/S10665-017-9904-ZzbMath1408.74006OpenAlexW2617407647WikidataQ59602827 ScholiaQ59602827MaRDI QIDQ1616508

Ray W. Ogden, Mustapha El Hamdaoui, Jose Merodio

Publication date: 6 November 2018

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

Full work available at URL: http://eprints.gla.ac.uk/140820/1/140820.pdf

zbMATH Keywords

finite deformationsloss of ellipticityaxial shearfibre kinkingfibre splitting

Mathematics Subject Classification ID

Theory of constitutive functions in solid mechanics (74A20)

Related Items (1)

Inflation, extension and torsion analysis of compressible functionally graded hyperelastic tubes

Cites Work

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• Azimuthal shear of doubly fibre-reinforced, non-linearly elastic cylindrical tubes
• Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material
• Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem
• A note on wave propagation in internally constrained hyperelastic materials
• Numerical studies of loss of ellipticity near singularities in an elastic material
• Discontinuous deformation gradients in the finite twisting of an incompressible elastic tube
• Azimuthal Shear of a Transversely Isotropic Elastic Solid

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