Stability and postbuckling analysis of nonlinear structures
DOI10.1016/0045-7825(82)90075-5zbMath0492.73041OpenAlexW2054453971MaRDI QIDQ1168113
Publication date: 1982
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(82)90075-5
rotationsvon Kármán equationsequations of neutral equilibriumFraeijs de Veubeke's variational principleconservative loadingarbitrarily large deformationsbased on Koiter's asymptotic approachcomplementary energy approachefficient mixed flat shell finite elementsprocess of Rayleigh-Ritz typestability criteriumthin plates in moderate rotations
Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational principles of physics (49S05)
Cites Work
- Postbuckling analysis of elastic structures by the finite element method
- Asymptotic study of the elastic postbuckling behavior of structures by the finite element method
- Mixed finite elements based upon Marguerre theory for the study of geometrically nonlinear behavior of thin shells
- On the proper treatment of axial and shear undeformability constraints in post-buckling analysis of beams
- On the use of the complementary energy in the solution of buckling problems
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- A problem of finite bending of toroidal shells
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