hp Version of Finite‐Element Mixed Method
Publication: Journal of Engineering Mechanics
Volume 120, Issue 11
Abstract
Mixed formulation of the hp version of the finite‐element method is developed in the case of rotational shells subjected to axisymmetric and asymmetric loads. The circumferential variations of moments and displacements are expressed in terms of Fourier series expansions. Integrals of Legendre polynomials are used as shape functions for approximating the variation of deflections and moment resultants in the meridional direction. The arbitrary meridional curve of the shell is represented by Legendre polynomials. Reissner's variational principle is used in setting up the mixed matrices and vectors. Body residuums and unbalanced nodal fractions are used as error indicators. A number of rotational shell problems with steep stress gradients are considered and the efficacy of using mesh refinements in the hp mode is evaluated.
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Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 11 • November 1994
Pages: 2342 - 2360
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Mar 8, 1993
Published online: Nov 1, 1994
Published in print: Nov 1994
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