A tying scheme for imposing displacement constraints in finite element analysis

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

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.
• Public URL: https://durham-repository.worktribe.com/output/1563401
• Publisher URL: http://www3.interscience.wiley.com/cgi-bin/abstract/73000992/ABSTRACT