Elastic arches with large elevation. Singularly perturbed problem of nonlinear elasticity

DOI10.1007/BF00041207zbMath0890.73033MaRDI QIDQ1370483

Andrzej J. Karwowski

Publication date: 1 July 1998

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

zbMATH Keywords

asymptotic expansioncurvatureprinciple of virtual worksingularly perturbed ordinary differential equationstwo-dimensional partial differential equationsthree-dimensional displacement field

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20)

Cites Work

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• Asymptotic models for a long, elastic cylinder
• A justification of the Marguerre-von Kármán equations
• Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories
• The theory of Kirchhoff rods as an exact consequence of three-dimensional elasticity
• The principle of virtual work and integral laws of motion
• New phenomena in the buckling of arches described by refined theories
• Dynamical models for plates and membranes. An asymptotic approach
• Multiple Equilibrium States of Nonlinearly Elastic Strings
• The Equations for Large Vibrations of Strings

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