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Biparabolic isoparametric shell element : (a version of
Ahmad element)
Riyadh Ahmed Al-Mustafa
Civil Engineering
March 1979
Abstract
The element is developed based on the degeneration concept, in which the displacements and
slopes of the shell mid-surface are independent variables with a penalty function imposition. Biparabolic
interpolation is employed in conjunction with a reduced integration for evaluating the element properties.
With the six degrees of freedom formulation, this element can ben used for kinked shell problems. The
element is tested to demonstrate its accuracy and versatility. The numerical examples indicate that the
developed element perfroms accurately for both thick and thin shell structures. This element is capable of
analyzing kinked shell structures and also representing deep beam and membrane structures.
Biparabolic Isoparametric Shell Element
(A Version of Ahmad Element)
by
Riyadh Ahmed Al-Mustafa
A Thesis Presented to the
FACULTY OF THE COLLEGE OF GRADUATE STUDIES
KING FAHD UNIVERSITY OF PETROLEUM & MINERALS
DHAHRAN, SAUDI ARABIA
In Partial Fulfillment of the
Requirements for the Degree of
MASTER OF SCIENCE
In
CIVIL ENGINEERING
March, 1979