Cavitated bifurcation for incompressible hyperelastic material.

DOI10.1007/BF02437792zbMath1042.74018OpenAlexW2014751571MaRDI QIDQ1864010

Jiu-Sheng Ren, Chang-Jun Cheng

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1007/bf02437792

zbMATH Keywords

Valanis-Landel material

Mathematics Subject Classification ID

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

Related Items (6)

Dynamical formation of cavity in a composed hyper-elastic sphere ⋮ Cavity formation at the center of a sphere composed of two compressible hyperelastic materials ⋮ Transversely isotropic hyperelastic material rectangular plate with voids under a uniaxial extension ⋮ Qualitative study of cavitated bifurcation for a class of incompressible generalized neo-Hookean spheres ⋮ Qualitative analysis of dynamical behavior for an imperfect incompressible neo-Hookean spherical shell ⋮ Study on cavitated bifurcation problems for spheres composed of hyperelastic materials

Cites Work

• Void nucleation and growth for a class of incompressible nonlinearly elastic materials
• A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
• Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
• Void nucleation and growth for compressible non-linearly elastic materials: An example
• Void nucleation in tensile dead-loading of a composite incompressible nonlinearly elastic sphere
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity

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