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A triangular thin shell finite element: Nonlinear analysisAspects of the formulation of a triangular thin shell finite element which pertain to geometrically nonlinear (small strain, finite displacement) behavior are described. The procedure for solution of the resulting nonlinear algebraic equations combines a one-step incremental (tangent stiffness) approach with one iteration in the Newton-Raphson mode. A method is presented which permits a rational estimation of step size in this procedure. Limit points are calculated by means of a superposition scheme coupled to the incremental side of the solution procedure while bifurcation points are calculated through a process of interpolation of the determinants of the tangent-stiffness matrix. Numerical results are obtained for a flat plate and two curved shell problems and are compared with alternative solutions.
Document ID
19750019358
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Thomas, G. R.
(Cornell Univ. Ithaca, NY, United States)
Gallagher, R. H.
(Cornell Univ. Ithaca, NY, United States)
Date Acquired
September 3, 2013
Publication Date
July 1, 1975
Publication Information
Publisher: NASA
Subject Category
Structural Mechanics
Report/Patent Number
NASA-CR-2483
Accession Number
75N27430
Funding Number(s)
CONTRACT_GRANT: NGL-33-010-070
PROJECT: RTOP 134-14-05-01-00
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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