A Ritz’s method based solution for the contact problem of a deformable rectangular plate on an elastic quarter-space

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Title: A Ritz’s method based solution for the contact problem of a deformable rectangular plate on an elastic quarter-space
Authors: Guenfoud, Salah
Bosakov, Sergey V.
Laefer, Debra F.
Permanent link: http://hdl.handle.net/10197/2266
Date: Jul-2010
Abstract: In this article, Ritz’s method is used to calculate with unprecedented accuracy the displacements related to a deformable rectangular plate resting on the surface of an elastic quarter-space. To achieve this required three basic steps. The first step involved the study of Green’s function describing the vertical displacements of the surface of an elastic quarter-space due to vertical force applied on its surface. For this case, an explicit formula was obtained by analytically resolving a complicated integral that did not previously have an analytical solution. The second step involved the study of the coupled system of a plate and an elastic quarter-space. This portion focused on determining reactive forces in the contact zone based on Hetenyi’s solution. After determination of the reactive forces, certain features were attributed to the plate’s edges. The final step involved the application of Ritz’s method to determine the deflections of the plate resting on the surface of the quarter-space. Finally, an example calculation and validation of results are given. This is the first semi-analytical solution proposed for this type of contact problem.
Funding Details: Not applicable
Type of material: Journal Article
Publisher: Elsevier
Copyright (published version): Crown Copyright 2010 Published by Elsevier
Keywords: Deformable rectangular plate;Green’s function;Quarter-space;Contact problem;Ritz’s method
Subject LCSH: Boundary value problems
Green's functions
Contact mechanics
Soil mechanics
Foundations
DOI: 10.1016/j.ijsolstr.2010.03.014
Language: en
Status of Item: Peer reviewed
Appears in Collections:Urban Institute Ireland Research Collection
Critical Infrastructure Group Research Collection
Civil Engineering Research Collection

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