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Triangular composite finite elements

Guo, Yong and Ortiz, Michael and Belytschko, Ted and Repetto, Eduardo A. (2000) Triangular composite finite elements. International Journal for Numerical Methods in Engineering, 47 (1-3). pp. 287-316. ISSN 0029-5981. doi:10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.0.CO;2-M.

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Composite triangles consisting of four three-node triangles originally proposed by Camacho and Ortiz are studied. It is shown that the original element does not satisfy the Babuška–Brezzi condition nor pass the patch test. Remedies for these shortcomings are described. It is shown that the resulting elements are very robust for large deformation problems. In addition, composite triangular elements generated from four-node quadrilaterals are briefly examined; their accuracy is found to be not as good as the composite triangles.

Item Type:Article
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URLURL TypeDescription<287::AID-NME772>3.0.CO;2-MDOIArticle;2-M/abstractPublisherArticle
Ortiz, Michael0000-0001-5877-4824
Additional Information:© 2000 John Wiley & Sons. Received 8 March 1999. This article is dedicated to the memory of Richard H. Gallagher, one of the founders of the International Journal for Numerical Methods in Engineering and a pioneer in the finite element method. The support of the Office of Naval Research and the Army Research Office are gratefully acknowledged.
Funding AgencyGrant Number
Office of Naval Research (ONR)UNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Subject Keywords:finite elements; Babuška–Brezzi condition; patch test
Issue or Number:1-3
Record Number:CaltechAUTHORS:20171213-090121889
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Official Citation:Guo, Y., Ortiz, M., Belytschko, T. and Repetto, E. A. (2000), Triangular composite finite elements. Int. J. Numer. Meth. Engng., 47: 287–316. doi:10.1002/(SICI)1097-0207(20000110/30)47:1/3<287::AID-NME772>3.0.CO;2-M
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83856
Deposited By: Lydia Suarez
Deposited On:18 Dec 2017 18:45
Last Modified:15 Nov 2021 20:14

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