Influence of initial imperfections on the buckling of elastic shells under multiple critical loads

DOI10.1016/0021-8928(80)90065-9zbMath0466.73043OpenAlexW1978023092MaRDI QIDQ1155407

Leonid S. Srubshchik

Publication date: 1980

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(80)90065-9

zbMATH Keywords

post-critical behaviorasymptotic representationsshells of revolutionshells of arbitrary shapeaxisymmetric equilibriumcomplete solution for non- axisymmetric bucklingelastic conservative, shallow shellsimperfection parametersLyapunov-Schmidt operator methodMushtari- Donnell-Vlasov equationsseveral coincident critical loadssystem of bifurcation equationsvery small initial imperfections

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Fracture and damage (74R99) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Membranes (74K15)

Related Items

Influence of initial imperfections on the buckling of orthotropic truncated spherical and conical shells ⋮ Non-axisymmetric buckling and post-critical behaviour of elastic spherical shells in the case of a double critical value of the load ⋮ Some applications of the singular perturbation method to the bending problems of thin plates and shells

Cites Work

• Post-buckling behavior of a closed spherical shell
• Basic principles in the general theory of elastic stability
• Some two-mode buckling problems and their relation to catastrophe theory
• Buckling of cylindrical shells with small curvature
• Imperfection Sensitivity of Externally Pressurized Spherical Shells
• On the buckling of flexible plates
• On the Stability Analysis of Imperfect Spherical Shells
• Buckling and postbuckling behavior of spherical caps under axisymmetric load
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