Analysis of hybrid methods of mixed-shear-projected triangular and quadrilateral elements for Reissner-Mindlin plates
Abstract
It is known that the 3-node hybrid triangular element MiSP3 and 4-node hybrid quadrilateral element MiSP4 presented by Ayad, Dhatt and Batoz (Int. J. Numer. Meth. Engng 1998, 42: 1149-1179) for Reissner-Mindlin plates behave robustly in numerical benchmark tests. These two elements are based on Hellinger-Reissner variational principle, where continuous piecewise linear/isoparametric bilinear interpolations, as well as the mixed shear interpolation/projection technique of MITC family, are used for the approximations of displacements, and piecewise-independent equilibrium modes are used for the approximation of bending moments/shear stresses. We show that the MiSP3 and MiSP4 elements are uniformly stable with respect to the plate thickness and thus free from shear-locking.
Keywords
Cite
@article{arxiv.1410.3683,
title = {Analysis of hybrid methods of mixed-shear-projected triangular and quadrilateral elements for Reissner-Mindlin plates},
author = {Guozhu Yu and Xiaoping Xie and Yuanhui Guo},
journal= {arXiv preprint arXiv:1410.3683},
year = {2014}
}