A volume-averaged nodal projection method for the Reissner-Mindlin plate model
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- July 31, 2018
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Computer Methods in Applied Mechanics and Engineering
Vol. 341, pp. 827-850, 2018
A. Ortiz-Bernardin, P. Köbrich, J. S. Hale, E. Olate-Sanzana, S. P. A. Bordas, S. Natarajan
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.
Keywords: meshfree methods; maximum-entropy approximation; Reissner-Mindlin plate; shear-locking; VANP method.
Original Journal Article: https://doi.org/10.1016/j.cma.2018.07.023
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