ON THE RELIABILITY OF TRIANGULAR FINITE ELEMENTS FOR SHELLS

Abstract : In engeneering practice we often deal with shell structures of complex geometry which
forcely incorporate triangular elements when being meshed. Therefore, effective triangular
shell elements (namely locking free and consistent) are of utmost interest. We
have developed a numerical test aimed at detecting membrane locking and the existence
of membrane spurious modes when designing MITC shell finite elements. The
MITC6a element (formulated by Bathe and Lee) seems to be one of the best candidates
of the MITC6 family, but it features some non-physical displacement modes
with vanishing membrane strain energy that might considerably deteriorate the numerical
solution. We propose a remedy based on a stabilized bilinear form by adding an
unreduced shear term, and we also define the MITC6rs element that involves a richer
interpolation for shear strains. In view of a detailed assessment, we advocate the use
of some stabilization in the MITC6a formulation for engeneering practice.
Document type :
Theses
Complete list of metadatas

Cited literature [64 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00169852
Contributor : Iria Paris <>
Submitted on : Wednesday, September 5, 2007 - 5:31:15 PM
Last modification on : Thursday, February 7, 2019 - 1:32:13 AM
Long-term archiving on : Tuesday, September 21, 2010 - 1:45:18 PM

Identifiers

  • HAL Id : tel-00169852, version 2

Citation

Iria Paris. ON THE RELIABILITY OF TRIANGULAR FINITE ELEMENTS FOR SHELLS. Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2006. English. ⟨tel-00169852v2⟩

Share

Metrics

Record views

406

Files downloads

1010