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A tying scheme for imposing displacement constraints in finite element analysis

Houlsby, G.T.; Liu, G.; Augarde, C.E.

Authors

G.T. Houlsby

G. Liu



Abstract

This paper describes the formulation of elements to connect finite element meshes of differing dimensionality. The formulation employs minimization using Lagrange multipliers. While this technique is already described in many texts, this paper demonstrates how particular types of connection may be implemented as independent tie elements. Ties for connecting 2D and 3D nodes and for 2D to 2D nodes are formulated in this paper and examples are given showing their application.

Citation

Houlsby, G., Liu, G., & Augarde, C. (2000). A tying scheme for imposing displacement constraints in finite element analysis. Communications in numerical methods in engineering, 16(10), 721-732. https://doi.org/10.1002/1099-0887%28200010%2916%3A10%3C721%3A%3Aaid-cnm371%3E3.0.co%3B2-a

Journal Article Type Article
Publication Date 2000-10
Deposit Date Sep 24, 2008
Journal Communications in Numerical Methods in Engineering
Print ISSN 1069-8299
Electronic ISSN 1099-0887
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 16
Issue 10
Pages 721-732
DOI https://doi.org/10.1002/1099-0887%28200010%2916%3A10%3C721%3A%3Aaid-cnm371%3E3.0.co%3B2-a
Keywords Finite elements, Constraints, Coordinate systems.
Publisher URL http://www3.interscience.wiley.com/cgi-bin/abstract/73000992/ABSTRACT