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PLENARY LECTURES AND VIP GUESTS
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Nikita Morozov
Saint Petersburg State University Faculty of Mathematics and Mechanics
Mechanics And Nanomechanics. The Problems Of Nanotechnology
Aifantis International Symposium
(2nd Intl. symp. on Multiscale Material Mechanics in the 21st Century)[Defects on solids ]
Back to Plenary Lectures »
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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.
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