Abstract:

In Nanotechnology, one has many problems similar to those in solid mechanics: strength, delamination, stability, defects etc. The present presentation is focused on the possible use of solid mechanics methods for solutions to nanomechanics problems concerning characterizations. One will present the most recent investigations into the methodology for evaluating Young�s modulus, Poisson coefficient and cylindrical stiffness for nanosize objects, covering the molecular dynamics methods and providing a table of the properties as function of the number of atomic layers.

One will discuss about the formulae that connect the cylindrical stiffness for different geometrical objects and eigen-frequency of the same objects (rod, plate, cylindrical shell, spiral shell). One will also demonstrate the possibility to find the eigen-frequency of nanosize objects with the help of experiments, using laser and AFM, analyzing the advantages and disadvantages of either method.

The latest development of the research work will be addressed. A brief introduction to the State University of St. Petersburg will be given.

Biography:

Nikita Fedorovoch Morozov
Born in July 28, 1932, USSR.
Received his PhD from St. Petersburg State University in Physics and Mathematics in 1958;
Received his DSc from St. Petersburg State University in Physics and Mathematics in 1967.
Corresponding Member of the Russian Academy of Science, received in 1994;
Member of the Russian Academy of Science, received in 2000.
Chairman of the Scientific Council on Solid Mechanics of the Russian Academy of Science.

Main scientific interests are concentrated on the applications of rigorous mathematical methods to problems of fracture mechanics. Main mathematical interests are connected with the singular integral equations, conformal mappings, bifurcations theory, integral transformations, etc.

List of monographs written by Prof Morozov and co-authors:

• N.F.Morozov. Selected problems of the two-dimensional elasticity theory. Leningrad University. 1978 (in Russian).

• N.F.Morozov. Mathematical issues of the cracks theory. Nauka. 1984 (in Russian).

• S.Mikhlin, N.Morozov, M.Paukshto. Integral Equations of the Theory of Elasticity. Petrozavodsk. 1994 (in Russian).

• S.Mikhlin, N.Morozov, M.Paukshto. Integral Equations of the Theory of Elasticity. Teubner Publishaus. 1995 (in English).

• N.Morozov, M.Paukshto. Discrete and Hybrid Models of Fracture Mechanics. St.-Petersburg. 1995 (in Russian).

• N.Morozov, Y.Petrov. Problems of dynamic fracture in solids. St.-Petersburg. 1996 (in Russian).

• N.Morozov, Y.Petrov. Dynamics of Fracture. Springer-Verlag: Berlin-Heidelberg-New York, 2000 (in English)