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Energy Methods in Dynamics (Interaction of Mechanics and Mathematics) Paperback – 18 Mar 2014


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Short curriculum vitae

Khanh Chau Le was born in Ha noi, Viet nam, in 1955. He graduated with highest honors from the School of Mathematics and Mechanics of Moscow State University in 1979.
Dr. Le's student paper, "High-frequency long-wave vibrations of shells," received the first prize in the competition of young researchers of Moscow State University. He received his M.S. and Ph.D. degrees in Mechanics from Moscow State University in 1979 and 1982, respectively, under the supervision of Academician L. Sedov and Dr. V. Berdichevsky. He also earned the degree of Doctor of Science in Solid Mechanics, a prestigious degree in Russia which does not have an equivalent in the U.S., from St.-Petersburg State University in 1986.
Dr. Le worked 2 years, from 1987 to 1988, in the Laboratory of Solid Mechanics at the Institute of Mechanics in Ha noi. During that time he was a head of the research group in Fracture Mechanics of Composite Materials.
In 1988 Dr. Le became a Humboldt fellow. He and his family moved to Germany. After a short time he was appointed as an assitant professor in Department of Mechanics at Bochum University, Germany. He received the degree of Doctor Habilitation in Mechanics from Bochum University in 1996 and became an associate professor of that Department shortly afterwards. Recently he is an extraordinary professor of mechanics. Since 2009 he is a flying faculty member of the Computational Engineering at the Vietnamese German University. He became also a full professor at the Institute of Mechanics in Ha noi and the scientific adviser of the Institute of Applied Mechanics in Ho Chi Minh City. He was a visiting professor at Ecole Polytechnique (Palaiseau, France) and spent several research stays at Wayne State University (Detroit, USA). He is a member of editorial boards of two journals in mechanics and serves as a reviewer of various international journals.
His first scientific results relate to applications of the variational-asymptotic method, which is proposed by V. Berdichevsky, in the theory of high-frequency vibrations of elastic shells and rods. He developed also the theories of low- and high-frequency vibrations of piezoelectric shells and rods. Variational-asymptotic method and its applications in the theory of vibrations of shells and rods was summarized in his monograph "Vibrations of shells and rods", Berlin, Springer Verlag, 1999. He is also the author of two other books entitled "Introduction to Micromechanics" and "Energy Methods in Dynamics".
Dr. Le's recent research interests are in the field of nonlinear dynamics, fracture mechanics, crystal plasticity, crack nucleation, and continuum dislocation theory. His results in these areas are presented in leading scientific journals and at various conferences (nearly 90 publications).

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From the Back Cover

Energy Methods in Dynamics is a textbook based on the lectures given by the first author at Ruhr University Bochum, Germany. Its aim is to help students acquire both a good grasp of the first principles from which the governing equations can be derived, and the adequate mathematical methods for their solving. Its distinctive features, as seen from the title, lie in the systematic and intensive use of Hamilton's variational principle and its generalizations for deriving the governing equations of conservative and dissipative mechanical systems, and also in providing the direct variational-asymptotic analysis, whenever available, of the energy and dissipation for the solution of these equations. It demonstrates that many well-known methods in dynamics like those of Lindstedt-Poincare, Bogoliubov-Mitropolsky, Kolmogorov-Arnold-Moser (KAM), Wentzel–Kramers–Brillouin (WKB),  and Whitham are derivable from this variational-asymptotic analysis.

 

This second edition includes the solutions to all exercises as well as some new materials concerning amplitude and slope modulations of nonlinear dispersive waves.


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