Ganaba, Taher H. (1985) Nonlinear finite element analysis of plates and slabs. PhD thesis, University of Warwick.

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Abstract

The behaviour of steel plates and reinforced concrete slabs which
undergo large deflections has been investigated using the finite
element method. Geometric and material nonlinearities are both
considered in the study.
Two computer programs have been developed for the analysis of plates
and slabs. Ihe first program is for the elastic stability of
plates. The elastic buckling loads obtained for plates with and
without openings and under different edge loading conditions have
been compared with the analytical and numerical results obtained by
other investigators using different techniques of analyses. Good
correlation between the results obtained and those given by others
has been achieved. Improvements in the accuracy of the results and
the efficiency of the analysis for plates with openings have been
achieved.
The second program is for the full range analysis of steel plates
and reinforced concrete slabs up to collapse. The analysis can
trace the load-deflection response up to collapse including
snap-through behaviours. The program allows for the yielding of
steel and the cracking and crushing of concrete. The modified
Newton-Raphson with load control and displacement control methods is
used to trace the structural response up to collapse. The line
search technique has been included to improve the rate of
convergence in the analysis of reinforced concrete slabs. The
program has been tested against experimental and numerical results
obatined by other investigators and has been shown to give good
agreement.
The accuracy of a number of integration rules usually adopted in
nonlinear finite elecent analyses to evaluate the stress resultants
from the stress distribution throughout concrete sections has been
investigated. A new integration rule has been proposed for the
integration of stress distributions through cracked concrete
sections or cracked and crushed concrete sections.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software T Technology > TA Engineering (General). Civil engineering (General)
Library of Congress Subject Headings (LCSH):	Plates, Iron and steel -- Analysis -- Computer programs, Concrete slabs -- Analysis -- Computer programs, Plates, Iron and steel -- Elastic properties, Concrete slabs -- Elastic properties, Finite element method -- Computer programs
Official Date:	August 1985
Dates:	Date Event August 1985 Submitted
Institution:	University of Warwick
Theses Department:	School of Engineering
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	May, Ian Melville, 1946-
Extent:	xxvi, 215 leaves
Language:	eng

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