A reduced constraint finite element method for shell problems
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.
Affiliation: Department of Mathematics and Statistics, University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, Maryland 21250
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