Ortiz, M. and Morris, G. R. (1988) C^0 finite element discretization of Kirchhoff's equations of thin plate bending. International Journal for Numerical Methods in Engineering, 26 (7). pp. 1551-1566. ISSN 0029-5981. doi:10.1002/nme.1620260707. https://resolver.caltech.edu/CaltechAUTHORS:20180110-093224078
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Abstract
An alternative formulation of Kirchhoff's equations is given which is amenable to a standard C^0 finite element discretization. In this formulation, the potential energy of the plate is formulated entirely in terms of rotations, whereas the deflections are the outcome of a subsidiary problem. The nature of the resulting equations is such that C^0 interpolation can be used on both rotations and deflections. In particular, general classes of triangular and quadrilateral isoparametric elements can be used in conjunction with the method. Unlike other finite element methods which are based on three-dimensional or Mindlin formulations, the present approach deals directly with Kirchhoff's equations of thin plate bending. Excellent accuracy is observed in standard numerical tests using both distorted and undistorted mesh patterns.
Item Type: | Article | |||||||||
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Alternate Title: | C0 finite element discretization of Kirchhoff's equations of thin plate bending | |||||||||
Additional Information: | © 1988 John Wiley & Sons. Received 23 May 1987. Revised 3 November 1987. | |||||||||
Group: | GALCIT | |||||||||
Issue or Number: | 7 | |||||||||
DOI: | 10.1002/nme.1620260707 | |||||||||
Record Number: | CaltechAUTHORS:20180110-093224078 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180110-093224078 | |||||||||
Official Citation: | Ortiz, M. and Morris, G. R. (1988), C0 finite element discretization of Kirchhoff's equations of thin plate bending. Int. J. Numer. Meth. Engng., 26: 1551–1566. doi: 10.1002/nme.1620260707 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 84225 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | George Porter | |||||||||
Deposited On: | 10 Jan 2018 18:10 | |||||||||
Last Modified: | 15 Nov 2021 20:18 |
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