A new approach to the asymptotic integration of the equations of shallow convex shell theory in the post-critical stage

DOI10.1016/0021-8928(89)90139-1zbMath0722.73034OpenAlexW2143401594MaRDI QIDQ756488

Alexander Yu. Evkin

Publication date: 1989

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90139-1

zbMATH Keywords

asymptotic expansionsmall parameterPadé approximationlarge deflectionaxisymmetric deformationgeometric theory of shell stabilityKoiter approachmerging of limit expansionsshell equilibrium equationssmall-deflection domain

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Membranes (74K15)

Related Items (3)

Buckling load prediction of an externally pressurized thin spherical shell with localized imperfections ⋮ Asymptotic solution of the theory of shell boundary value problem ⋮ Local Buckling of Cylindrical Shells. Pogorelov’s Geometrical Method

Cites Work

• THE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH LARGE OR QUICKLY CHANGING COEFFICIENTS AND BOUNDARY CONDITIONS
• The asymptotic integration of the system of equations for the large deflection of symmetrically loaded shells of revolution
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