Cavitation for incompressible anisotropic nonlinearly elastic spheres

DOI10.1007/BF00042634zbMath0856.73024MaRDI QIDQ1330755

Debra A. Polignone, Cornelius O. Horgan

Publication date: 10 August 1994

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

bifurcationcritical loadgeneral strain energy functionsmall anisotropyhomogeneous tensile loadlarge anisotropyneo-Hookean body

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (29)

The Numerical Computation of the Critical Boundary Displacement for Radial Cavitation ⋮ Spontaneous Cavitation in Growing Elastic Membranes ⋮ Some effects of fiber dispersion on the mechanical response of incompressible soft solids ⋮ Electromechanical instability in anisotropic dielectric elastomers ⋮ Some qualitative properties of incompressible hyperelastic spherical membranes under dynamic loads ⋮ On the normal stresses in simple shearing of fiber-reinforced nonlinearly elastic materials ⋮ Experimental and finite element investigation of void nucleation in rubber-like materials ⋮ Remarks on cavity formation in fiber-reinforced incompressible nonlinearly elastic solids ⋮ Emergence and disappearance of load induced fiber kinking surfaces in transversely isotropic hyperelastic materials ⋮ On the modeling of extension-torsion experimental data for transversely isotropic biological soft tissues ⋮ Anticavitation and differential growth in elastic shells ⋮ Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders ⋮ Transversely isotropic hyperelastic material rectangular plate with voids under a uniaxial extension ⋮ An anisotropic nonlinear elasticity model for tearing of fibrous soft biomaterials ⋮ Dynamic fiber reorientation in a fiber-reinforced hyperelastic material ⋮ 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 ⋮ Torsional swelling of a hyperelastic tube with helically wound reinforcement ⋮ A constitutive model dealing with damage due to cavity growth and the Mullins effect in rubber-like materials under triaxial loading ⋮ Exact solution for cavitated bifurcation for compressible hyperelastic materials ⋮ A characterisation of the boundary displacements which induce cavitation in an elastic body ⋮ Likely cavitation in stochastic elasticity ⋮ Study on cavitated bifurcation problems for spheres composed of hyperelastic materials ⋮ Instability analysis in pressurized transversely isotropic Saint-Venant-Kirchhoff and neo-Hookean cylindrical thick shells ⋮ Simple shearing of soft biological tissues ⋮ Onset of cavitation in compressible, isotropic, hyperelastic solids ⋮ A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids ⋮ AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY ⋮ Asymptotic analysis of finite deformation in a nonlinear transversely isotropic incompressible hyperelastic half-space subjected to a tensile point load

Cites Work

• Unnamed Item
• Unnamed Item
• The effect of axial stretch on cavitation in an elastic cylinder
• Cavitation in nonlinear elastodynamics for neo-Hookean materials
• Void nucleation and growth for a class of incompressible nonlinearly elastic materials
• Discontinuous energy minimizers in nonlinear elastostatics: An example of J. Ball revisited
• A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
• A note on a bifurcation problem in finite plasticity related to void nucleation
• Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
• The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
• Nonuniqueness for a hyperbolic system: cavitation in nonlinear elastodynamics
• The formation of filamentary voids in solids
• Void collapse in an elastic solid
• Void nucleation and growth for compressible non-linearly elastic materials: An example
• Cavitation in elastic and elastic-plastic solids
• Cavitation in elastic membranes - an example
• Void nucleation in tensile dead-loading of a composite incompressible nonlinearly elastic sphere
• Effects of material anisotropy and inhomogeneity on cavitation for composite incompressible anisotropic nonlinearly elastic spheres
• Material Failure by Void Growth to Coalescence
• Cavity Formation at the Center of a Composite Incompressible Nonlinearly Elastic Sphere
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• ON NON-EXISTENCE OF CAVITATION IN INCOMPRESSIBLE ELASTIC MEMBRANES
• A field theory approach to stability of radial equilibria in nonlinear elasticity

This page was built for publication: Cavitation for incompressible anisotropic nonlinearly elastic spheres