Dynamical models for plates and membranes. An asymptotic approach

DOI10.1007/BF00041735zbMath0782.73045MaRDI QIDQ1310355

Andrzej J. Karwowski

Publication date: 13 January 1994

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

zbMATH Keywords

algebraic geometryprinciples of virtual workthree-dimensional elastic bodydisplacement-stress methodtime-dependent displacement field

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items

Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations, Shallow arch models. An asymptotic approach, The membrane shell model in nonlinear elasticity: A variational asymptotic derivation, Elastic arches with large elevation. Singularly perturbed problem of nonlinear elasticity, On the asymptotic membrane theory of thin hyperelastic plates, An asymptotic theory of thin micropolar plates

Cites Work

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• Asymptotic models for a long, elastic cylinder
• A justification of the Marguerre-von Kármán equations
• Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
• A justification of the von Kármán equations
• Buckled states of nonlinearly elastic plates
• The principle of virtual work and integral laws of motion
• A justification of a nonlinear model in plate theory
• A boundary-layer theory for elastic plates