dc.creator | Papargyri-Beskou, S. | en |
dc.creator | Giannakopoulos, A. E. | en |
dc.creator | Beskos, D. E. | en |
dc.date.accessioned | 2015-11-23T10:44:09Z | |
dc.date.available | 2015-11-23T10:44:09Z | |
dc.date.issued | 2010 | |
dc.identifier | 10.1016/j.ijsolstr.2010.06.003 | |
dc.identifier.issn | 0020-7683 | |
dc.identifier.uri | http://hdl.handle.net/11615/31899 | |
dc.description.abstract | Gradient elastic flexural Kirchhoff plates under static loading are considered. Their governing equation of equilibrium in terms of their lateral deflection is a sixth order partial differential equation instead of the fourth order one for the classical case. A variational formulation of the problem is established with the aid of the principle of virtual work and used to determine all possible boundary conditions, classical and non-classical ones. Two circular gradient elastic plates, clamped or simply supported at their boundaries, are analyzed analytically and the gradient effect on their static response is assessed in detail. A rectangular gradient elastic plate, simply supported at its boundaries, is also analyzed analytically and its rationally obtained boundary conditions are compared with the heuristically obtained ones in a previous publication of the authors. Finally, a plate with two opposite sides clamped experiencing cylindrical bending is also analyzed and its response compared against that for the cases of micropolar and couple-stress elasticity theories. (C) 2010 Elsevier Ltd. All rights reserved. | en |
dc.source.uri | <Go to ISI>://WOS:000281175800012 | |
dc.subject | Flexural plates | en |
dc.subject | Gradient elasticity | en |
dc.subject | Variational methods | en |
dc.subject | Static | en |
dc.subject | analysis | en |
dc.subject | Classical and non-classical boundary conditions | en |
dc.subject | STRUCTURAL-ANALYSIS | en |
dc.subject | MICROPOLAR PLATES | en |
dc.subject | DYNAMIC-ANALYSIS | en |
dc.subject | BEAM | en |
dc.subject | STABILITY | en |
dc.subject | TENSION | en |
dc.subject | BAR | en |
dc.subject | Mechanics | en |
dc.title | Variational analysis of gradient elastic flexural plates under static loading | en |
dc.type | journalArticle | en |