A new Kirchhoff plate model based on a modified couple stress theory

Tsiatas, GC

dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T01:29:34Z
dc.date.available	2014-03-01T01:29:34Z
dc.date.issued	2009	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19317
dc.subject	Couple stress elasticity	en
dc.subject	Gradient elasticity	en
dc.subject	Kirchhoff plate	en
dc.subject	Meshless methods	en
dc.subject	Method of fundamental solutions	en
dc.subject.classification	Mechanics	en
dc.subject.other	Couple stress elasticity	en
dc.subject.other	Gradient elasticity	en
dc.subject.other	Kirchhoff plate	en
dc.subject.other	Meshless methods	en
dc.subject.other	Method of fundamental solutions	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Elastohydrodynamics	en
dc.subject.other	Elasticity	en
dc.title	A new Kirchhoff plate model based on a modified couple stress theory	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2009.03.004	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2009.03.004	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper a new Kirchhoff plate model is developed for the static analysis of isotropic micro-plates with arbitrary shape based on a modified couple stress theory containing only one material length scale parameter which can capture the size effect. The proposed model is capable of handling plates with complex geometries and boundary conditions. From a detailed variational procedure the governing equilibrium equation of the micro-plate and the most general boundary conditions are derived, in terms of the deflection, using the principle of minimum potential energy. The resulting boundary value problem is of the fourth order (instead of existing gradient theories which is of the sixth order) and it is solved using the Method of Fundamental Solutions (MFS) which is a boundary-type meshless method. Several plates of various shapes, aspect and Poisson's ratios are analyzed to illustrate the applicability of the developed micro-plate model and to reveal the differences between the current model and the classical plate model. Moreover, useful conclusions are drawn from the micron-scale response of this new Kirchhoff plate model. (C) 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2009.03.004	en
dc.identifier.isi	ISI:000266045700023	en
dc.identifier.volume	46	en
dc.identifier.issue	13	en
dc.identifier.spage	2757	en
dc.identifier.epage	2764	en