A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy

DOI10.1007/BF00040944zbMath0817.73008MaRDI QIDQ1805158

Cornelius O. Horgan, Debra A. Polignone

Publication date: 8 August 1995

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

zbMATH Keywords

critical valueBlatz-Ko materialtwisting moments

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items

Inflation, extension and torsion analysis of compressible functionally graded hyperelastic tubes ⋮ Existence and a Priori Bounds for the Finite Torsion Solution for a Class of General Blatz-Ko Materials ⋮ Existence and Uniqueness of Azimuthal Shear Solutions in Compressible Isotropic Nonlinear Elasticity ⋮ Extension, inflation and torsion of a residually stressed circular cylindrical tube ⋮ Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid ⋮ Orientation preservation and Newton-Raphson convergence in the case of an hyperelastic sphere subjected to an hydrostatic pressure ⋮ On Extension and Torsion of a Compressible Elastic Circular Cylinder ⋮ Finite torsion of compressible circular cylinders: an approximate solution

Cites Work

• Unnamed Item
• Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example
• The torsion problem for a nonconvex stored energy function
• Equilibrium shocks in plane deformations of incompressible elastic materials
• Initiation of localized plane deformations at a circular cavity in an infinite compressible nonlinearly elastic medium
• A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
• The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials
• Azimuthal shear of compressible or incompressible, non-linearly elastic polar orthotropic tubes of infinite extent
• On the ellipticity of the equations of nonlinear elastostatics for a special material
• On axisymmetric solutions for compressible nonlinearly elastic solids
• Finite strain solutions for a compressible elastic solid
• Pure torsion of compressible non-linearly elastic circular cylinders