A Finite Volume Formulation for the Elasto-Plastic Analysis of Rectangular Mindlin-Reissner Plates, a Non-Layered Approach

A Low-order Nonconforming Finite Element for Reissner-Mindlin Plates

We propose a locking-free element for plate bending problems, based on the use of nonconforming piecewise linear functions for both rotations and deflections. We prove optimal error estimates with respect to both the meshsize and the analytical solution regularity.

Legendre Spectral Finite Elements for Reissner-Mindlin Plates

This is to certify that I have examined a copy of a technical report by Kazh Brito and found it satisfactory in all respects, and that any and all revisions required by the examining committee have been made. Abstract This is an exploration of Legendre spectral finite-element (LSFE) formulations for Reissner-Mindlin plates. The goal was to compare high-order LSFEs with standard low-order finite...

The TDNNS method for Reissner–Mindlin plates

A new family of locking-free finite elements for shear deformable Reissner-Mindlin plates is presented. The elements are based on the "tangential-displacement normal-normal-stress" formulation of elasticity. In this formulation, the bending moments are treated as separate unknowns. The degrees of freedom for the plate element are the nodal values of the deflection, tangential components of the ...

A Posteriori Error Analysis of Finite Element Methods for Reissner-Mindlin Plates

This paper establishes a very general theory for a posteriori error analysis of finite element methods of the Reissner-Mindlin plate problem in the literature. The theory assures reliability of explicit residual error estimates. The conclusion of this theory is sparsity in the mathematical research of uniform a posteriori error control. Indeed, the a posteriori error estimate for various finite...

Discontinuous Galerkin elements for Reissner-Mindlin plates

We present an overview of some families of locking-free elements for Reissner-Mindlin plates recently introduced and analyzed in [2] and [1]. They are all based on the ideas of discontinuous Galerkin approach, and they vary in the amount of interelement continuity required.

Finite Elements for the Reissner-Mindlin Plate