Pure azimuthal shear of compressible non-linearly elastic circular tubes

DOI10.1090/qam/1262323zbMath0813.73026OpenAlexW2433781050MaRDI QIDQ4288933

Cornelius O. Horgan, Debra A. Polignone

Publication date: 24 April 1994

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1262323

zbMATH Keywords

strain energy functionsisochoric circumferential shear

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elasticity (74B20) Membranes (74K15)

Related Items (11)

Area-preserving azimuthal shear deformation of an incompressible isotropic hyper-elastic tube ⋮ Irrotational Deformations in Finite Compressible Elasticity ⋮ Existence and Uniqueness of Azimuthal Shear Solutions in Compressible Isotropic Nonlinear Elasticity ⋮ On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the \textit{not so simple} case of anti-plane shear ⋮ Taylor-like bifurcations for a compressible isotropic elastic tube ⋮ Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid ⋮ Small amplitude sinusoidal disturbances superimposed on finite circular shear of a compressible, nonlinearly elastic material ⋮ On inhomogeneous deformations in ES materials ⋮ Weakly Nonlinear Oscillations Superimposed on Finite Circumferential Shear of a Compressible, Nonlinear, Viscoelastic, Isotropic Material ⋮ Inflation, Extension, Torsion and Shearing of an Inhomogeneous Compressible Elastic Right Circular Annular Cylinder ⋮ Finite amplitude, free vibrations of an axisymmetric load supported by a highly elastic tubular shear spring

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