Geometrically Nonlinear Finite-Element Analysis

by Carlos Brebbia,
Jerome Connor,

Serial Information: Journal of the Engineering Mechanics Division, 1969, Vol. 95, Issue 2, Pg. 463-486

Document Type: Journal Paper


The procedure for extending the finite-element displacement method to include geometric nonlinearity is outlined and a consistent formulation applicable to arbitrary plate and shallow shell elements is derived. Examples illustrating the application of a rectangular element to a plate, a shallow cylindrical shell, and a shallow hyperbolic paraboloid are presented and the results are compared with other theoretical and experimental results. Close agreement is obtained even for fairly coarse mesh spacing.

Subject Headings: Nonlinear finite element analysis | Geometrics | Nonlinear analysis | Finite element method | Plates | Displacement (mechanics) | Arbitration | Cylindrical shells

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