A BEM-based domain meshless method for the analysis of Mindlin plates with general boundary conditions

Chinnaboon, B; Chucheepsakul, S; Katsikadelis, JT

dc.contributor.author	Chinnaboon, B	en
dc.contributor.author	Chucheepsakul, S	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:34:51Z
dc.date.available	2014-03-01T01:34:51Z
dc.date.issued	2011	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20901
dc.subject	Analog equation	en
dc.subject	Boundary Element Method	en
dc.subject	Meshless	en
dc.subject	Mindlin	en
dc.subject	Radial basis functions	en
dc.subject	Thick plates	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Analog equation	en
dc.subject.other	Meshless	en
dc.subject.other	Mindlin	en
dc.subject.other	Radial basis functions	en
dc.subject.other	Thick plate	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary integral equations	en
dc.subject.other	Mindlin plates	en
dc.subject.other	Numerical methods	en
dc.subject.other	Poisson equation	en
dc.subject.other	Radial basis function networks	en
dc.subject.other	Boundary element method	en
dc.title	A BEM-based domain meshless method for the analysis of Mindlin plates with general boundary conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cma.2010.12.014	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2010.12.014	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper, a BEM-based domain meshless method is developed for the analysis of moderately thick plates modeled by Mindlin's theory which permits the satisfaction of three physical conditions along the plate boundary. The presented method is achieved using the concept of the analog equation of Katsikadelis. According to this concept, the original governing differential equations are replaced by three uncoupled Poisson's equations with fictitious sources under the same boundary conditions. The fictitious sources are established using a technique based on BEM and approximated by radial basis functions series. The solution of the actual problem is obtained from the known integral representation of the potential problem. Thus, the kernels of the boundary integral equations are conveniently established and evaluated. The presented method has the advantages of the BEM in the sense that the discretization and integration are performed only on the boundary, and consequently Mindlin plates with general boundary conditions can be analyzed without difficulty. To illustrate the effectiveness, applicability as well as accuracy of the method, numerical results of various example problems are presented. (C) 2010 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/j.cma.2010.12.014	en
dc.identifier.isi	ISI:000288884900004	en
dc.identifier.volume	200	en
dc.identifier.issue	13-16	en
dc.identifier.spage	1379	en
dc.identifier.epage	1388	en