Problems of Nonlinear Mechanics and Physics of Materials

This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France.

The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

Asymptotic higher-order dynamic model for transient waves in heterogeneous.- Analysis of the beating states in the system of nonlinearly coupled parametrically forced oscillators.- Is energy localization possible in the conditions of non-local acoustic vacuum?.- Phase dynamics of tunneling intrinsic localized modes in weakly coupled nonlinear chains and correspondence between classical and quantum particles.- Non-linear beatings as non-stationary synchronization of weakly coupled autogenerators.

Prof. Yuri V. Mikhlin has a position at Dept. of Applied Mathematics, National Technical University “Kharkov Polytechnical Institute”, Ukraine. He has near 50 years of experience in Nonlinear Dynamics and Applied Mathematics. His priority scientific results were published in leading int. journals. Organizer and chair for few int. conferences and symposia. Memberships in Editorial Board of the journals: Nonlinear Dynamics; Int. Journal of Nonlinear Mechanics; Journal of Mechanical Engineering Science.

Dr. Sci. Arkadiy I. Manevich is a Professor at Theoretical and Computational Mechanics Department of Dniepr National University (Ukraine). The main areas of his scientific work are dynamics, stability and optimal design of linear and nonlinear multidimensional systems, in particular, thin-walled structures. He is author and coauthor of six monographs published in England, Poland and Ukraine, and approximately of 300 papers, mainly in famous scientific journals and proceedings of international congresses and conferences