On the calculation of limit and bifurcation points in stability problems of elastic shells

DOI10.1016/0020-7683(85)90106-4zbMath0559.73056OpenAlexW2061593953MaRDI QIDQ2265860

Hubertus J. Weinitschke

Publication date: 1985

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(85)90106-4

zbMATH Keywords

singular pointsnonlinear equationscomputational algorithmslimit pointshells of revolutionbranches of solutionsnonsymmetric bifurcationclamped shallow spherical shellaxisymmetric states of deformationssimple symmetry breaking bifurcation points

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Membranes (74K15) Applications to the sciences (65Z05) Bifurcations in context of PDEs (35B32) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Singular Perturbations of Limit Points with Application to Tubular Chemical Reactors, Unnamed Item, A quadratically convergent procedure for the calculation of stability points in finite element analysis, A bifurcation study of convective heat transfer in porous media, Analysis of two-way snap of shells of revolution, A group theoretic approach to the global bifurcation analysis of an axially compressed cylindrical shell, A critical displacement approach for predicting structural instability, On shells of revolution with the Love-Kirchhoff hypotheses, Some computational aspects of a group theoretic finite element approach to the buckling and postbuckling analyses of plates and shells of revolution, Bifurcation and stability analysis of laminar flow in curved ducts, A bifurcation study of mixed-convection heat transfer in horizontal ducts