dc.creator | Vardoulakis, I. | en |
dc.creator | Giannakopoulos, A. E. | en |
dc.date.accessioned | 2015-11-23T10:53:14Z | |
dc.date.available | 2015-11-23T10:53:14Z | |
dc.date.issued | 2006 | |
dc.identifier | 10.1016/j.ijsolstr.2005.04.023 | |
dc.identifier.issn | 0020-7683 | |
dc.identifier.uri | http://hdl.handle.net/11615/34303 | |
dc.description.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 |
dc.source.uri | <Go to ISI>://WOS:000238550000002 | |
dc.subject | double-forces | en |
dc.subject | beam theories | en |
dc.subject | gradient theories | en |
dc.subject | micro-electro-mechanical devices | en |
dc.subject | non-local differentiation | en |
dc.subject | averaging | en |
dc.subject | theories | en |
dc.subject | Mechanics | en |
dc.title | An example of double forces taken from structural analysis | en |
dc.type | journalArticle | en |