Geometrically Nonlinear Finite-Element Analysisby Carlos Brebbia,
Serial Information: Journal of the Engineering Mechanics Division, 1969, Vol. 95, Issue 2, Pg. 463-486
Document Type: Journal Paper
Abstract: 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: Finite element method | Geometrics | Nonlinear analysis | Plates | Nonlinear finite element analysis | Displacement (mechanics) | Arbitration | Cylindrical shells |
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