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Title: Adaptive FE analysis of plates by shear-flexible quadrilateral Reissner-Mindlin elements
Authors: Mukherjee, S.
Krishnamoorthy, C.S.
Keywords: Bending (deformation)
Boundary conditions
Boundary layers
Computational geometry
Convergence of numerical methods
Numerical analysis
Plates (structural components)
Adaptive finite element analysis
Automatic mesh generator
Global convergence
Plate bending
Shear flexible quadrilateral Reissner-Mindlin elements
Finite element method
Issue Date: 1996
Citation: Finite Elements in Analysis and Design, 22(4), 329-366
Abstract: h-version adaptive finite element analysis of plates using QUAD4 R-M elements is discussed. The necessity of using shear flexible formulations 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 and is shown in various examples. A powerful and versatile quadrilateral automatic mesh generator (MSD) is used for the discretization of the plate domain. The error norms are computed by the Z2 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 several cases.
ISSN: 0168874X
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