An Explicit Radial Cavitation Solution in Nonlinear Elasticity

DOI10.1177/1081286502007001227zbMath1024.74013OpenAlexW2022606313MaRDI QIDQ4789713

Pericak-Spector, Kathleen A., Sivaloganathan, Jeyabal, Spector, Scott J.

Publication date: 24 November 2003

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

Full work available at URL: https://doi.org/10.1177/1081286502007001227

zbMATH Keywords

ordinary differential equationcavitationcompressible nonlinearly elastic materialradial equilibriumhomogeneous isotropic ball

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (5)

The Numerical Computation of the Critical Boundary Displacement for Radial Cavitation ⋮ Spontaneous Cavitation in Growing Elastic Membranes ⋮ Marginal material stability ⋮ Anticavitation and differential growth in elastic shells ⋮ On the relative energies of the Rivlin and cavitation instabilities for compressible materials

Cites Work

• 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
• Cavitation in elastic membranes - an example
• Nonmonotonic cavity growth in finite, compressible elasticity
• Gleanings of radial cavitation
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity

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