A volume-averaged nodal projection method for the Reissner-Mindlin plate model
Abstract
We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in terms of the primitive variables only (i.e., rotations and transverse displacement) and is devoid of shear-locking. The proposed approach uses linear maximum-entropy approximations and is built variationally on a two-field potential energy functional wherein the shear strain, written in terms of the primitive variables, is computed via a volume-averaged nodal projection operator that is constructed from the Kirchhoff constraint of the three-field mixed weak form. The stability of the method is rendered by adding bubble-like enrichment to the rotation degrees of freedom. Some benchmark problems are presented to demonstrate the accuracy and performance of the proposed method for a wide range of plate thicknesses.
Cite
@article{arxiv.1803.03371,
title = {A volume-averaged nodal projection method for the Reissner-Mindlin plate model},
author = {Alejandro Ortiz-Bernardin and Philip Köbrich and Jack S. Hale and Edgardo Olate-Sanzana and Stéphane P. A. Bordas and Sundararajan Natarajan},
journal= {arXiv preprint arXiv:1803.03371},
year = {2018}
}