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C^0 finite element discretization of Kirchhoff's equations of thin plate bending

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. http://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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https://dx.doi.org/10.1002/nme.1620260707DOIArticle
http://onlinelibrary.wiley.com/wol1/doi/10.1002/nme.1620260707/abstractPublisherArticle
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
Record Number:CaltechAUTHORS:20180110-093224078
Persistent URL:http://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:10 Jan 2018 18:10

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