Radially symmetric steady states of nonlinearly elastic plates and shells

DOI10.1007/s10659-015-9567-9zbMath1386.74029OpenAlexW2321275380MaRDI QIDQ346784

Alexey B. Stepanov, Stuart S. Antman

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1007/s10659-015-9567-9

zbMATH Keywords

variational methodscontinuation methodsfixed-point methodsconstitutive restrictionsexistence, nonexistence, and multiplicity of radially symmetric steady states of nonlinearly elastic bodiesphase-plane methods

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elasticity (74B20) Plates (74K20) Shells (74K25) Nonlinear constitutive equations for materials with memory (74D10) Applications of operator theory to differential and integral equations (47N20) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Radially symmetric steady states of nonlinearly elastic plates and shells ⋮ Radially symmetric motions of nonlinearly viscoelastic bodies under live loads ⋮ On the uniqueness of energy minimizers in finite elasticity ⋮ Sharp weighted Korn and Korn-like inequalities and an application to washers

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