A reduced constraint finite element method for shell problems
Author:
Manil Suri
Journal:
Math. Comp. 66 (1997), 15-29
MSC (1991):
Primary 65N30, 73K15, 73V05
DOI:
https://doi.org/10.1090/S0025-5718-97-00806-5
MathSciNet review:
1377665
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Abstract | References | Similar Articles | Additional Information
Abstract: We propose and analyze an finite element method for the Nagdhi shell model, based on rectangular elements. We show that for the bending-dominated case, assuming sufficient smoothness on the solution, the method is locking free in terms of both
and
, as the thickness of the shell tends to zero. Our results are established under the assumption that the geometrical coefficients appearing in the model are piecewise polynomial functions.
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Additional Information
Manil Suri
Affiliation:
Department of Mathematics and Statistics, University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, Maryland 21250
Email:
suri@umbc2.umbc.edu
DOI:
https://doi.org/10.1090/S0025-5718-97-00806-5
Keywords:
Locking,
shell,
$hp$,
finite element
Received by editor(s):
August 5, 1994
Received by editor(s) in revised form:
February 9, 1996
Additional Notes:
Research partially supported by the Air Force Office of Scientific Research, Bolling AFB, DC, under Grant AFOSR F49620-92-J-0100.
Article copyright:
© Copyright 1997
American Mathematical Society