Cavitation in nonlinear elastodynamics for neo-Hookean materials

DOI10.1016/0020-7225(89)90037-2zbMath0694.73005OpenAlexW1972969722MaRDI QIDQ909505

M.-S. Chou-Wang, Cornelius O. Horgan

Publication date: 1989

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(89)90037-2

zbMATH Keywords

bifurcation approach to void nucleationisotropic incompressible elastic solid sphereradially symmetric motionuniform radial tensile dead-load on boundary

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items (15)

Cavitation for incompressible anisotropic nonlinearly elastic spheres ⋮ Dynamical formation of cavity in a composed hyper-elastic sphere ⋮ Some qualitative properties of incompressible hyperelastic spherical membranes under dynamic loads ⋮ A micromechanical model of distributed damage due to void growth in general materials and under general deformation histories ⋮ Nonclassical Lie symmetry and conservation laws of the nonlinear time-fractional Korteweg–de Vries equation ⋮ Likely cavitation and radial motion of stochastic elastic spheres ⋮ Dynamic cavitation with shocks in nonlinear elasticity ⋮ Dynamical formation of cavity for composed thermal hyperelastic spheres in non-uniform temperature fields ⋮ Some remarks on the effects of inertia and viscous dissipation in the onset of cavitation in rubber ⋮ Remarks on \(W^{1,p}\)-quasiconvexity, interpenetration of matter, and function spaces for elasticity ⋮ The formation of filamentary voids in solids ⋮ Exact solution for cavitated bifurcation for compressible hyperelastic materials ⋮ On the construction and properties of weak solutions describing dynamic cavitation ⋮ Dynamics and destruction of internally pressurized incompressible hyper-elastic spherical shells ⋮ Weakly Nonlinear Oscillations Superimposed on Finite Circumferential Shear of a Compressible, Nonlinear, Viscoelastic, Isotropic Material

Cites Work

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• Nonuniqueness for a hyperbolic system: cavitation in nonlinear elastodynamics
• Void nucleation in tensile dead-loading of a composite incompressible nonlinearly elastic sphere
• Finite dynamic deformations of an incompressible elastic medium containing a spherical cavity
• Large amplitude oscillations of a tube of incompressible elastic material
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• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• A field theory approach to stability of radial equilibria in nonlinear elasticity
• On a Class of Oscillations in the Finite-Deformation Theory of Elasticity

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