Finite deformations of compressible hyperelastic tubes subjected to circumferential shear

DOI10.1016/0020-7225(85)90040-0zbMath0575.73052OpenAlexW2005415905MaRDI QIDQ1064131

Aybar Ertepinar

Publication date: 1985

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(85)90040-0

zbMATH Keywords

initial value problemradial displacementshooting methodsecond order systemangle of twistmethod of adjointssolved numericallycircumferential shearing forcescoupled, nonlinear differential equationsexplicit boundary conditions at one curved surfacehomogeneous, isotropic, hyperelastic and compressible tubesimplicit conditions at other surfacepresence of radial deformationssystem of four first order equationstube fixed along its inner curved surface

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Numerical and other methods in solid mechanics (74S99)

Related Items (5)

Existence and Uniqueness of Azimuthal Shear Solutions in Compressible Isotropic Nonlinear Elasticity ⋮ Taylor-like bifurcations for a compressible isotropic elastic tube ⋮ Compressible, hyperelastic spinning tubes subjected to circumferential shear ⋮ Finite amplitude, free vibrations of an axisymmetric load supported by a highly elastic tubular shear spring ⋮ Simultaneous, finite, gyroscopic and radial oscillations of hyperelastic cylindrical tubes

Cites Work

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• On finite anti-plane shear for compressible elastic circular tube
• Towards the solution of finite plane-strain problems for compressible elastic solids
• On free oscillations of elastic incompressible bodies in finite shear
• Solution of Troesch's two-point boundary value problem by a combination of techniques
• Finite deformations of slightly compressible materials - on the finite screw dislocation
• The mechanics of rubber elasticity

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