Bøger af Leonid I. Manevitch

This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting applications of the approach to significant nonlinear problems from different fields of physics and mechanics.

A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.

In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.

This book describes significant tractable models-new and old-used in solid mechanics. They are selected to illustrate the concepts allowing scientists to describe complicated effects in a simple manner, and to clarify basic notations of solid mechanics.

This book covers developments in the theory of oscillations from diverse viewpoints, reflecting the fields multidisciplinary nature. It also offers the first treatment of the asymptotic and homogenization methods in the theory of oscillations in combination with Pad approximations.