The application of the Riks technique to shell snapping

DOI10.1016/0895-7177(90)90305-7zbMath0729.73231OpenAlexW2001009009MaRDI QIDQ807203

N. E. Zubov

Publication date: 1990

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(90)90305-7

zbMATH Keywords

Newton-Raphson methodcylindrical shellssnap-throughhighly nonlinear responsessingle and multiple snapback phenomenathrough the thickness parabolic transverse shear strain

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Membranes (74K15)

Cites Work

• Unnamed Item
• A refined nonlinear theory of plates with transverse shear deformation
• Large displacement and rotational formulation for laminated shells including parabolic transverse shear
• An accurate, simple theory of the statics and dynamics of elastic plates
• An incremental approach to the solution of snapping and buckling problems
• A Simple Higher-Order Theory for Laminated Composite Plates
• An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations
• A fast incremental/iterative solution procedure that handles “snap-through”
• Transverse shear deformation in orthotropic cylindrical pressure vessels using a higher-order shear theory

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