Closed form solutions for small deformations superimposed upon the symmetrical expansion of a spherical shell

DOI10.1007/BF00041781zbMath0346.73048OpenAlexW1988699656MaRDI QIDQ1233764

James M. Hill

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf00041781

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Membranes (74K15) Elastic materials (74B99)

Related Items (7)

Reduced equilibrium equations for perfectly elastic materials ⋮ Growth and instability in elastic tissues ⋮ On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials ⋮ Closed form solutions for small deformations superimposed upon the simultaneous inflation and extension of a cylindrical tube ⋮ On the incremental equations in non-linear elasticity - II. Bifurcation of pressurized spherical shells ⋮ Shape transitions in a soft incompressible sphere with residual stresses ⋮ The finite deformation of a pressurized circular tube for a class of compressible materials

Cites Work

• Unnamed Item
• Partial solutions of finite elasticity. I: Plane deformations. II: Axially symmetric deformations
• Closed form solutions for small deformations superimposed upon the simultaneous inflation and extension of a cylindrical tube
• Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure
• LOAD-DEFLECTION RELATIONS OF BONDED PRE-COMPRESSED SPHERICAL RUBBER BUSH MOUNTINGS
• Finite elastic deformation of incompressible isotropic bodies

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