A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy
type: Item
instance of: scholarly article
title: A note on the pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy
zbMATH Open document ID: 0817.73008
DOI: 10.1007/BF00040944
author: Cornelius O. Horgan
author: Debra A. Polignone
published in: Journal of Elasticity
publication date: 1995-08-08T00:00:00Z
review text: The large deformation torsion problem for an elastic circular cylinder subject to prescribed twisting moments at its ends is examined for a particular homogeneous isotropic compressible material, namely the Blatz- Ko material. For this material, the displacement equations of equilibrium in three-dimensional elastostatics can lose ellipticity at sufficiently large deformations. For the torsion problem, it is shown that this occurs when the prescribed torque reaches a critical value.
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 753712
zbMATH Keywords: twisting moments
zbMATH Keywords: Blatz-Ko material
zbMATH Keywords: critical value
MaRDI profile type: Publication
cites work: Pure torsion of compressible non-linearly elastic circular cylinders
cites work: On the ellipticity of the equations of nonlinear elastostatics for a special material
cites work: Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: An example
cites work: Equilibrium shocks in plane deformations of incompressible elastic materials
cites work: The torsion problem for a nonconvex stored energy function
cites work: Finite strain solutions for a compressible elastic solid
cites work: Initiation of localized plane deformations at a circular cavity in an infinite compressible nonlinearly elastic medium
cites work: A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
cites work: The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials
cites work: Q3474322
cites work: On axisymmetric solutions for compressible nonlinearly elastic solids
cites work: Azimuthal shear of compressible or incompressible, non-linearly elastic polar orthotropic tubes of infinite extent
description: scientific article; zbMATH DE number 753712