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Finite Element Analysis Over Tangled Meshes

[+] Author Affiliations
Josh Danczyk, Krishnan Suresh

University of Wisconsin-Madison, Madison, WI

Paper No. DETC2012-70466, pp. 89-95; 7 pages
doi:10.1115/DETC2012-70466
From:
  • ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 32nd Computers and Information in Engineering Conference, Parts A and B
  • Chicago, Illinois, USA, August 12–15, 2012
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4501-1
  • Copyright © 2012 by ASME

abstract

In finite element analysis (FEA), tasks such as mesh optimization and mesh morphing can lead to overlapping elements, i.e., to a tangled mesh. Such meshes are considered ‘unacceptable’ today, and are therefore untangled using specialized procedures.

Here it is shown that FEA can be easily extended to handle tangled meshes. Specifically, by defining the nodal functional space as an oriented linear combination of the element shape functions, it is shown that the classic Galerkin formulation leads to a valid finite element formulation over such meshes.

Patch tests and numerical examples illustrate the correctness of the proposed methodology.

Copyright © 2012 by ASME

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