Existence and nonuniqueness of axisymmetric equilibrium states of nonlinarly elastic shells

DOI10.1007/BF00251796zbMath0254.73072MaRDI QIDQ2558115

Stuart S. Antman

Publication date: 1971

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

Mathematics Subject Classification ID

Shells (74K25)

Related Items

Qualitative properties of large buckled states of spherical shells ⋮ Radially symmetric steady states of nonlinearly elastic plates and shells ⋮ Finite axisymmetric deformation of shells of revolution with application to flexural buckling of circular plates ⋮ Existence theorems for a class of problems in nonlinear elasticity ⋮ Asymptotic shapes of inflated spheroidal nonlinearly elastic shells ⋮ The eversion of thick spherical shells ⋮ Global properties of buckled states of plates that can suffer thickness changes ⋮ On a stress resultant geometrically exact shell model. IV: Variable thickness shells with through-the-thickness stretching ⋮ On the dynamical theory of thermoelastic simple shells ⋮ A variational rod model with a singular nonlocal potential ⋮ Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells ⋮ Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems ⋮ Existence of weak solutions in linear elastostatics of Cosserat surfaces ⋮ Convexity conditions and existence theorems in nonlinear elasticity ⋮ Buckled states of nonlinearly elastic plates ⋮ Axisymmetric Instabilities for Elastic Conical Shells under Compressive End Loadings ⋮ Nonuniqueness of equilibrium states for axisymmetric elastic shells in tension ⋮ Initial-boundary value problems for an extensible beam ⋮ Continuity properties of nonlinear semigroups

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