Cavity formation at the center of a sphere composed of two compressible hyperelastic materials

DOI10.1007/BF02437633zbMath1143.74327MaRDI QIDQ1887526

Zheng-You Zhu, Chang-Jun Cheng, Jiu-Sheng Ren

Publication date: 19 November 2004

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

zbMATH Keywords

energy comparisoncavitated bifurcationcatastrophe and concentration of stresscompressible hyper-elastic material

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stress concentrations, singularities in solid mechanics (74G70) Composite and mixture properties (74E30) Bifurcation and buckling (74G60)

Related Items (1)

Dynamical formation of cavity in a composed hyper-elastic sphere

Cites Work

• Exact solution for cavitated bifurcation for compressible hyperelastic materials
• A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
• 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
• Cavitated bifurcation for incompressible hyperelastic material.
• Cavity Formation at the Center of a Composite Incompressible Nonlinearly Elastic Sphere
• Bifurcation of cavitation solutions for incompressible transversely isotropic hyper-elastic materials

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