An example of double forces taken from structural analysis

Vardoulakis, I; Giannakopoulos, AE

dc.contributor.author	Vardoulakis, I	en
dc.contributor.author	Giannakopoulos, AE	en
dc.date.accessioned	2014-03-01T01:23:34Z
dc.date.available	2014-03-01T01:23:34Z
dc.date.issued	2006	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17027
dc.subject	Averaging theories	en
dc.subject	Beam theories	en
dc.subject	Double-forces	en
dc.subject	Gradient theories	en
dc.subject	Micro-electro-mechanical devices	en
dc.subject	Non-local differentiation	en
dc.subject.classification	Mechanics	en
dc.subject.other	Deflection (structures)	en
dc.subject.other	Nanotechnology	en
dc.subject.other	Particle beams	en
dc.subject.other	Shearing	en
dc.subject.other	Averaging theories	en
dc.subject.other	Beam theories	en
dc.subject.other	Double-forces	en
dc.subject.other	Gradient theories	en
dc.subject.other	Micro-electro-mechanical devices	en
dc.subject.other	Non-local differentiation	en
dc.subject.other	Structural analysis	en
dc.title	An example of double forces taken from structural analysis	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2005.04.023	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2005.04.023	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	The classic Bernoulli-Euler beam is revisited in relation to the Timoshenko beam, using a T-type cross-section. A practical example of double forces is worked out, where the double forces appear due to the shearing of the horizontal flange of the T-section. It is shown that a non-local estimate of the mean value of the vertical deflection of the beam leads to a shear gradient that is energetically consistent with the double force. Therefore, an additional energy term that includes the derivative of the beam's curvature leads to a consistent non-local beam model, simple enough to be used in structural analysis. Such beam models are useful in micro- and nano-technology. Moreover, this simple example opens the discussion for the importance of non-local differentiation in the averaging theories of Mechanics. (c) 2005 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.2005.04.023	en
dc.identifier.isi	ISI:000238550000002	en
dc.identifier.volume	43	en
dc.identifier.issue	14-15	en
dc.identifier.spage	4047	en
dc.identifier.epage	4062	en