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Numerical Analysis and Applications

, Volume 1, Issue 3, pp 269–279 | Cite as

A finite-variation method in nonlinear shell mechanics

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Abstract

A numerical algorithm is proposed for calculating coefficients of first-and second-order variations of strain energy in a nonlinear finite-element model of a shell, which are necessary to define equilibrium states of the shell and investigate stability of the states. Several numerical schemes are considered based on various finite-difference approximations. For these schemes, the accuracy, convergence, and computation time are analyzed using popular geometrically nonlinear problems of deformation of elastic plates and shells.

Key words

finite-variation method thin shell large displacements strain energy finite element 

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Copyright information

© Pleiades Publishing, Inc. 2008

Authors and Affiliations

  1. 1.Novosibirsk State Technical UniversityNovosibirskRussia

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