Towards improving the MITC6 triangular shell element

Lourenco Beirao da Veiga (1) , Dominique Chapelle (2) , Iria Paris (2)

1 UNIMI - Università degli Studi di Milano = University of Milan
2 MACS - Modeling, analysis and control in computational structural dynamics

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.

Domaines: Analyse numérique [math.NA]

Lourenco Beirao da Veiga, Dominique Chapelle, Iria Paris. Towards improving the MITC6 triangular shell element. Computers & Structures, 2007, 85, pp.1589-1610. ⟨10.1016/j.compstruc.2007.03.003⟩. ⟨hal-00839202⟩