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.

BEIRAO DA VEIGA, L., Paris, I., & Chapelle, D. (2007). Towards improving the MITC6a triangular shell element. COMPUTERS & STRUCTURES, 85(21-22), 1589-1610 [10.1016/j.compstruc.2007.03.003].

Towards improving the MITC6a triangular shell element

BEIRAO DA VEIGA, LOURENCO
Primo
;
2007

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.
Articolo in rivista - Articolo scientifico
Shells; Triangular MITC elements; Spurious modes; Stabilization; Mixed formulations; Locking
English
1589
1610
22
BEIRAO DA VEIGA, L., Paris, I., & Chapelle, D. (2007). Towards improving the MITC6a triangular shell element. COMPUTERS & STRUCTURES, 85(21-22), 1589-1610 [10.1016/j.compstruc.2007.03.003].
BEIRAO DA VEIGA, L; Paris, I; Chapelle, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/99884
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