The eversion of thick spherical shells

DOI10.1007/BF00250348zbMath0448.73088OpenAlexW2087314812MaRDI QIDQ1147017

Stuart S. Antman

Publication date: 1979

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250348

zbMATH Keywords

spherical capseversion of compressible nonlinearly elastic bodies in shape of complete spherical shellsspherical zones

Mathematics Subject Classification ID

Variational inequalities (49J40) Shells (74K25)

Related Items (11)

The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies ⋮ Steady-state problems of nonlinear electro-magneto-thermo-elasticity ⋮ Symmetry and equivariance in nonlinear elastostatics. I ⋮ On stability and uniqueness in finite elasticity ⋮ On the uniqueness of energy minimizers in finite elasticity ⋮ A justification of the von Kármán equations ⋮ Vibration analysis of non-linear 6-parameter prestressed shells ⋮ Uniqueness of equilibrium with sufficiently small strains in finite elasticity ⋮ The influence of elasticity on analysis: Modern developments ⋮ Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders ⋮ On the problem of eversion for incompressible elastic materials

Cites Work

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• Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Existence and nonuniqueness of axisymmetric equilibrium states of nonlinarly elastic shells

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