A uniformly accurate finite element method for the Reissner-Mindlin plate
SIAM Journal on Numerical Analysis
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis
A Family of Discontinuous Galerkin Finite Elements for the Reissner--Mindlin Plate
Journal of Scientific Computing
A Low-order Nonconforming Finite Element for Reissner--Mindlin Plates
SIAM Journal on Numerical Analysis
| Hi-index | 7.30 |
In this paper rectangular plates made of functionally graded materials (FGMs) are studied. A two-constituent material distribution through the thickness is considered, varying with a simple power rule of mixture. The equations governing the FGM plates are determined using a variational formulation arising from the Reissner-Mindlin theory. To approximate the problem a simple locking-free Discontinuous Galerkin finite element of non-conforming type is used, choosing a piecewise linear non-conforming approximation for both rotations and transversal displacement. Several numerical simulations are carried out in order to show the capability of the proposed element to capture the properties of plates of various gradings, subjected to thermo-mechanical loads.