Qualitative study of cavitated bifurcation for a class of incompressible generalized neo-Hookean spheres

DOI10.1007/BF02438240zbMath1144.74306MaRDI QIDQ939764

Zheng-You Zhu, Xue-Gang Yuan

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

normal formcavitated bifurcationincompressible generalized neo-hookean materialstability and catastrophe

Mathematics Subject Classification ID

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

Cites Work

• Exact solution for cavitated bifurcation for compressible hyperelastic materials
• Void nucleation and growth for a class of incompressible nonlinearly elastic materials
• Singularities and groups in bifurcation theory. Volume I
• A note on a bifurcation problem in finite plasticity related to void nucleation
• Cavitation for incompressible anisotropic nonlinearly elastic spheres
• Cavitated bifurcation for incompressible hyperelastic material.
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• A Study of Combined Asymmetric and Cavitated Bifurcations in Neo-Hookean Material Under Symmetric Dead Loading
• Growth of a void in a rubber rectangular plate under uniaxial extension
• Void formation and growth for a class of compressible hyper-elastic sphere

This page was built for publication: Qualitative study of cavitated bifurcation for a class of incompressible generalized neo-Hookean spheres