Asymptotic models for a long, elastic cylinder

DOI10.1007/BF00115560zbMath0733.73038MaRDI QIDQ809677

Andrzej J. Karwowski

Publication date: 1990

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

zbMATH Keywords

asymptotic expansions for the displacement field

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Strings (74K05)

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Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations ⋮ Shallow arch models. An asymptotic approach ⋮ Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods ⋮ Elastic arches with large elevation. Singularly perturbed problem of nonlinear elasticity ⋮ Characterization of the Bernoulli-Navier model for a rectangular section beam as the limit of the Kirchhoff-Love model for a plate ⋮ Dynamical models for plates and membranes. An asymptotic approach ⋮ A justification of nonlinear properly invariant plate theories

Cites Work

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• Elastic strings under vertical loads
• Large lateral buckling of nonlinearity elastic beams
• A second order theory for large deflections of slender beams
• Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
• On elementary theories of linear elastic beams, plates and shells (Review paper)
• An asymptotic analysis of large deflections and rotations of elastic rods
• Les equations de von Kármán
• Applications of variational principles in finite elasticity
• 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
• The Drawing and Whirling of Strings: Singular Global Multiparameter Bifurcation Problems
• Multiple Equilibrium States of Nonlinearly Elastic Strings
• The Equations for Large Vibrations of Strings
• The Nonlinear String Under a Vertical Force
• The Finite Displacement of Thin Rods

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