@Article{IJNAM-14-1,
author = {},
title = {Analysis of a Mixed-Shear-Projected Quadrilateral Element Method for Reissner-Mindlin Plates},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2017},
volume = {14},
number = {1},
pages = {48--62},
abstract = {<p style="text-align: justify;">This paper analyzes an existing 4-node hybrid mixed-shear-projected quadrilateral element
MiSP4, presented by Ayad, Dhatt and Batoz (Int. J. Numer. Meth. Engng 1998, 42: 1149-1179) for Reissner-Mindlin plates, which behaves robustly in numerical benchmark tests. This
method is based on Hellinger-Reissner variational principle, where continuous piecewise isoparametric
bilinear interpolations, as well as the mixed shear interpolation &amp;#8260 projection technique of
MITC family, are used for the approximations of displacements, and piecewise-independent equilibrium
modes are used for the approximations of bending moments &amp;#8260 shear stresses. Due to local
elimination of the parameters of moments &amp;#8260 stresses, the computational cost of MiSP4 element is
almost the same as that of the conforming bilinear quadrilateral displacement element. We show
that the element is free from shear locking in the sense that the error bound in the derived a priori
estimate is independent of the plate thickness.</p>},
issn = {2617-8710},
doi = {https://doi.org/2017-IJNAM-409},
url = {https://global-sci.com/article/83156/analysis-of-a-mixed-shear-projected-quadrilateral-element-method-for-reissner-mindlin-plates}
}