S. Mukherjee et Cs. Krishnamoorthy, ADAPTIVE FE ANALYSIS OF PLATES BY SHEAR-FLEXIBLE QUADRILATERAL REISSNER-MINDLIN ELEMENTS, Finite elements in analysis and design, 22(4), 1996, pp. 329-366
h-version adaptive finite element analysis of plates using QUAD4 R-M e
lements is discussed. The necessity of using shear flexible formulatio
ns for plate elements in adaptive FEA is explained. Two shear flexible
QUAD4 plate elements formulated by reconstituted shear strain fields
are selected from literature and are used to solve both thin and thick
plates with various geometries and boundary conditions. The effect of
boundary layers in plates with soft or free boundaries is discussed a
nd is shown in various examples. A powerful and versatile quadrilatera
l automatic mesh generator (MSD) is used for the discretization of the
plate domain. The error norms are computed by the Z(2) as well as the
superconvergence theory. The global convergence rates of the adaptive
solutions with respect to the energy norms are demonstrated and it is
seen that the theoretical rates of convergence are exceeded in severa
l cases.