ISOPARAMETRIC FINITE ELEMENTS BASED ON MINDLIN PLATE BENDING THEORY : Part 2 On unified derivation of quadrilateral element

Finite Elements for Reissner-Mindlin plate bending problems

We consider the plate bending problem in the framework of the Reissner-Mindlin theory. For a clamped plate, the problem can be written in variational form as follows. Find (θ, w) ∈ (H 0 (Ω)) ×H 0 (Ω) : ∫ Ω Cε(θ) : ε(η) + μ t−2 ∫ Ω (∇w − θ) · (∇v − η) = ∫

Analysis of some low order quadrilateral Reissner-Mindlin plate elements

Four quadrilateral elements for the Reissner-Mindlin plate model are considered. The elements are the stabilized MITC4 element of Lyly, Stenberg and Vihinen [27], the MIN4 element of Tessler and Hughes [35], the Q4BL element of Zienkiewicz et al [39] and the FMIN4 element of Kikuchi and Ishii [21]. For all elements except the Q4BL element, a unifying variational formulation is introduced, and o...

Finite Elements for the Reissner-Mindlin Plate

A new multiresolution finite element method based on a multiresolution quadrilateral plate element

A new multiresolution quadrilateral plate element is proposed and a multiresolution finite element method is hence presented. The multiresolution analysis (MRA) framework is formulated out of a mutually nesting displacement subspace sequence, whose basis functions are constructed of scaling and shifting on the element domain of basic node shape function. The basic node shape function is constru...

Mixed Rectangular Finite Elements for Plate Bending

The paper describes three different rectangular plate bending elements based on Reissner's type stationary variational principles. They differ in the number of dependent variables approximated independently and also in the number of nodes per element. The first element types treats the transverse deflection and the three moments as unknowns at each of the corner nodes; the second element type t...