Void nucleation in tensile dead-loading of a composite incompressible nonlinearly elastic sphere

DOI10.1007/BF00040934zbMath0687.73017MaRDI QIDQ1263324

Cornelius O. Horgan, Thomas J. Pence

Publication date: 1989

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

zbMATH Keywords

energy minimizationbifurcationsnap-through bucklingperfectly bondedtraction-free internal cavitytwo neo-Hookean materialsuniform radial tensile dead-load

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30) Bifurcation and buckling (74G60)

Related Items

Cavitation for incompressible anisotropic nonlinearly elastic spheres, Chemorheological Relaxation, Residual Stress, and Permanent Set Arising in Radial Deformation of Elastomeric Hollow Spheres, Cavity formation at the center of a sphere composed of two compressible hyperelastic materials, Void formation and growth in a class of compressible solids, Experimental and finite element investigation of void nucleation in rubber-like materials, Remarks on cavity formation in fiber-reinforced incompressible nonlinearly elastic solids, Cavitation in nonlinear elastodynamics for neo-Hookean materials, Bifurcation of equilibrium solutions and defect nucleation, Remarks on \(W^{1,p}\)-quasiconvexity, interpenetration of matter, and function spaces for elasticity, The formation of filamentary voids in solids, Cavitated bifurcation for incompressible hyperelastic material.

Cites Work

• Discontinuous energy minimizers in nonlinear elastostatics: An example of J. Ball revisited
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• The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
• Cavity Formation at the Center of a Composite Incompressible Nonlinearly Elastic Sphere
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• A field theory approach to stability of radial equilibria in nonlinear elasticity