Towards improving the MITC6 triangular shell element

L. Beirão da Veiga; D. Chapelle; I. Paris Suarez

doi:10.1016/j.compstruc.2007.03.003

Towards improving the MITC6 triangular shell element

L. Beirão da Veiga
, D. Chapelle
, I. Paris Suarez

Research output: Contribution to journal › Article › peer-review

Abstract

Effective triangular shell elements are of utmost interest in engineering practice, and the MITC6a element - a 6 node quadratic general shell element of the MITC family - has been shown to significantly reduce the locking phenomena arising in bending dominated behaviours. However, for some specific combinations of midsurface geometry and boundary conditions, the MITC6a element features some non-physical displacement modes with vanishing membrane strain energy. This phenomenon is thoroughly analyzed, and a remedy based on a stabilized bilinear form is proposed. Detailed numerical tests are included and the results demonstrate the good performance of the proposed method both for membrane and bending dominated problems.

Original language	English
Pages (from-to)	1589-1610
Number of pages	22
Journal	Computers and Structures
Volume	85
Issue number	21-22
DOIs	https://doi.org/10.1016/j.compstruc.2007.03.003
Publication status	Published - 1 Nov 2007

Keywords

Locking
Mixed formulations
Shells
Spurious modes
Stabilization
Triangular MITC elements

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10.1016/j.compstruc.2007.03.003

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title = "Towards improving the MITC6 triangular shell element",

abstract = "Effective triangular shell elements are of utmost interest in engineering practice, and the MITC6a element - a 6 node quadratic general shell element of the MITC family - has been shown to significantly reduce the locking phenomena arising in bending dominated behaviours. However, for some specific combinations of midsurface geometry and boundary conditions, the MITC6a element features some non-physical displacement modes with vanishing membrane strain energy. This phenomenon is thoroughly analyzed, and a remedy based on a stabilized bilinear form is proposed. Detailed numerical tests are included and the results demonstrate the good performance of the proposed method both for membrane and bending dominated problems.",

keywords = "Locking, Mixed formulations, Shells, Spurious modes, Stabilization, Triangular MITC elements",

author = "\{Beir{\~a}o da Veiga\}, L. and D. Chapelle and \{Paris Suarez\}, I.",

year = "2007",

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doi = "10.1016/j.compstruc.2007.03.003",

language = "English",

volume = "85",

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journal = "Computers and Structures",

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T1 - Towards improving the MITC6 triangular shell element

AU - Beirão da Veiga, L.

AU - Chapelle, D.

AU - Paris Suarez, I.

PY - 2007/11/1

Y1 - 2007/11/1

N2 - Effective triangular shell elements are of utmost interest in engineering practice, and the MITC6a element - a 6 node quadratic general shell element of the MITC family - has been shown to significantly reduce the locking phenomena arising in bending dominated behaviours. However, for some specific combinations of midsurface geometry and boundary conditions, the MITC6a element features some non-physical displacement modes with vanishing membrane strain energy. This phenomenon is thoroughly analyzed, and a remedy based on a stabilized bilinear form is proposed. Detailed numerical tests are included and the results demonstrate the good performance of the proposed method both for membrane and bending dominated problems.

AB - Effective triangular shell elements are of utmost interest in engineering practice, and the MITC6a element - a 6 node quadratic general shell element of the MITC family - has been shown to significantly reduce the locking phenomena arising in bending dominated behaviours. However, for some specific combinations of midsurface geometry and boundary conditions, the MITC6a element features some non-physical displacement modes with vanishing membrane strain energy. This phenomenon is thoroughly analyzed, and a remedy based on a stabilized bilinear form is proposed. Detailed numerical tests are included and the results demonstrate the good performance of the proposed method both for membrane and bending dominated problems.

KW - Locking

KW - Mixed formulations

KW - Shells

KW - Spurious modes

KW - Stabilization

KW - Triangular MITC elements

U2 - 10.1016/j.compstruc.2007.03.003

DO - 10.1016/j.compstruc.2007.03.003

M3 - Article

AN - SCOPUS:35248812990

SN - 0045-7949

VL - 85

SP - 1589

EP - 1610

JO - Computers and Structures

JF - Computers and Structures

IS - 21-22

ER -

Towards improving the MITC6 triangular shell element

Abstract

Keywords

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