Bulk cavitation and the possibility of localized interface deformation due to surface layer swelling

DOI10.1007/s10659-007-9102-8zbMath1153.74009OpenAlexW2015024044MaRDI QIDQ2642641

Thomas J. Pence, Hungyu Tsai

Publication date: 17 August 2007

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

Full work available at URL: https://doi.org/10.1007/s10659-007-9102-8

zbMATH Keywords

hyperelastic materialbifurcationsphereradial deformation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items

Cavitation in elastomeric solids. I: A defect-growth theory ⋮ Nonlinear elastic inclusions in anisotropic solids ⋮ Torsional swelling of a hyperelastic tube with helically wound reinforcement ⋮ Likely cavitation in stochastic elasticity

Cites Work

• Unnamed Item
• Exact solution for cavitated bifurcation for compressible hyperelastic materials
• On the cavitation of a swollen compressible sphere in finite elasticity
• A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void
• The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials
• On the ubiquity of fracture in nonlinear elasticity
• On cavitation, configurational forces and implications for fracture in a nonlinearly elastic material
• Swelling induced finite strain flexure in a rectangular block of an isotropic elastic material
• Swelling of an internally pressurized nonlinearly elastic tube with fiber reinforcing
• Swelling-Induced Cavitation of Elastic Spheres
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Inverse Radial Deformations and Cavitation in Finite Compressible Elasticity
• Swelling-induced microchannel formation in nonlinear elasticity
• Multiple natural states for an elastic isotropic material with polyconvex stored energy