Stability of radially symmetric deformations of spheres of compressible non-linearly elastic materials

DOI10.1177/1081286510387851zbMath1269.74077OpenAlexW2318843018MaRDI QIDQ2842413

Francis J. Rooney, Jeremiah G. Murphy

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286510387851

zbMATH Keywords

stabilityturning pointscompressible materialsmaximal classesspherical inflation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items (1)

On the relative energies of the Rivlin and cavitation instabilities for compressible materials

Cites Work

• Unnamed Item
• Stability and bifurcation of compressed elastic cylindrical tubes
• The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
• On non-linear stability in unconstrained non-linear elasticity
• Finite strain solutions in compressible isotropic elasticity
• Dead loading of a unit cube of compressible isotropic elastic material
• Compressible isotropic strain energies that support universal irrotational finite deformations
• Pressure maximum behavior in inflation of incompressible elastic hollow spheres and cylinders
• Inflation and Bifurcation of Thick-Walled Compressible Elastic Spherical Shells
• Finite elastic deformation of incompressible isotropic bodies

This page was built for publication: Stability of radially symmetric deformations of spheres of compressible non-linearly elastic materials