2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics
| Editors: | Kongoli F, Bordas S, Estrin Y |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2015 |
| Pages: | 300 pages |
| ISBN: | 978-1-987820-24-9 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Mechanics and Nanomechanics. The Problems of Nanotechnology
Boris Semenov1; Nikita Morozov2;1ST. PETERSBURG STATE POLYTECHNICAL UNIVERSITY, Saint Petersburg, Russian Federation; 2SAINT PETERSBURG STATE UNIVERSITY FACULTY OF MATHEMATICS AND MECHANICS, Saint Petersburg, Russian Federation;
Type of Paper: Plenary
Id Paper: 236
Topic: 1
Abstract:
The achievements of nanotechnology, the new nano-instruments creation and new nano-servers require thorough investigation of the problems of strength and stability for nano-constructions. It is possible to use the methods of classical continuum mechanics taking into account some modification [1] M.E.Gurtin and A.I.Murdoch Arch.Ration Mech. Anal. 57,291. (1975); [2] Ya.S.Podstrigach and Yu.Z.Povstenko Introduction to the mechanics of surface phenomena in deformable solids. Naukova Dumka Kiev 1985 (in Russian); [3] H.L.Duan, J.Wang, Z.P.Huang and B.L.Karihaloo. J. Mech. Phys. Solids 58. 1574 (2005).
This approach makes possible to solve some well-known problems for nanosized situation:
a) Theory of shells and plates with nanosized thickness [4], V.A.Eremeyev, H.Altenbach, N.F.Morozov. The Influence of surface tension on the effective stiffness of nanosize plates. Doklady Physics 2009, vol.54 N2, pp.98-100,
b) The problem of Kirsch,
c) The problem of stability of plane equilibrium for nanosized plates etc.
In result, it is possible to estimate the corrections, which gives nanosize of objects.