Dynamic cavitation with shocks in nonlinear elasticity
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Publication:4354112
DOI10.1017/S0308210500023866zbMath0883.73015MaRDI QIDQ4354112
Pericak-Spector, Kathleen A., Spector, Scott J.
Publication date: 10 September 1997
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
instabilityexistencediscontinuous solutionhyperbolic systementropy criterionentropy-rate criterionstored-energy functions of slow growth
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Related Items (7)
Radially symmetric motions of nonlinearly viscoelastic bodies under live loads ⋮ Singular limiting induced from continuum solutions and the problem of dynamic cavitation ⋮ Some remarks on the effects of inertia and viscous dissipation in the onset of cavitation in rubber ⋮ On the construction and properties of weak solutions describing dynamic cavitation ⋮ Weak* Solutions II: The Vacuum in Lagrangian Gas Dynamics ⋮ The quasilinear wave equation for antiplane shearing of nonlinearly elastic bodies ⋮ The problem of dynamic cavitation in nonlinear elasticity
Cites Work
- Cavitation in nonlinear elastodynamics for neo-Hookean materials
- Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
- Nonuniqueness for a hyperbolic system: cavitation in nonlinear elastodynamics
- The formation of filamentary voids in solids
- Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type
- An existence theory for nonlinear elasticity that allows for cavitation
- The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
- Estimating the critical radius for radially symmetric cavitation
- Hyperbolic systems of conservation laws II
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- Linear deformations as global minimizers in nonlinear elasticity
- Cavitation solutions to homogeneous van der Waals type fluids involving phase transitions
- Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
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