E-Book Overview
A treatment of the amplification of nonlinear strain waves in solids. It addresses two problems simultaneously: the sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; and the demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The volume's main features are: nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; and an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and dissipation. The work should be suitable for introducing readers in mechanics, mechanical engineering and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave guides. It should also be useful for self-study by professionals in all areas of nonlinear physics.
E-Book Content
SERIES ON STABILITY, VIBRATION AND CONTROL OF SYSTEMS
Volume 9
Series A
Amplification of Nonlinear Strain Waves in Solids Alexey V. Porubov
World Scientific
Amplification of Nonlinear Strain Waves in Solids
SERIES ON STABILITY, VIBRATION AND CONTROL OF SYSTEMS
Founder and Editor: Ardeshir Guran Co-Editors: C. Christov, M. Cloud, G. Stavroulakis & W. B. Zimmerman
About the Series Rapid developments in system dynamics and control, areas related to many other topics in applied mathematics, call for comprehensive presentations of current topics. This series contains textbooks, monographs, treatises, conference proceedings and a collection of thematically organized research or pedagogical articles addressing dynamical systems and control. The material is ideal for a general scientific and engineering readership, and is also mathematically precise enough to be a useful reference for research specialists in mechanics and control, nonlinear dynamics, and in applied mathematics and physics. Selected
Volumes in Series B
Proceedings of the First International Congress on Dynamics and Control of Systems, Chateau Laurier, Ottawa, Canada, 5-7 August 1999 Editors: A. Guran, S. Biswas, L Cacetta, C. Robach, K. Teo, and T. Vincent
Selected
Volumes in Series A
Vol. 1
Stability Theory of Elastic Rods Author: T. Atanackovic
Vol. 2
Stability of Gyroscopic Systems Authors: A. Guran, A. Bajaj, Y. Ishida, G. D'Eleuterio, N. Perkins, and C. Pierre
Vol. 3
Vibration Analysis of Plates by the Superposition Method Author: Daniel J. Gorman
Vol. 4
Asymptotic Methods in Buckling Theory of Elastic Shells Authors: P. E. Tovstik and A. L. Smirinov
Vol. 5
Generalized Point Models in Structural Mechanics Author: I. V. Andronov
Vol. 6
Mathematical Problems of Control Theory: An Introduction Author: G. A. Leonov
Vol. 7
Analytical and Numerical Methods for Wave Propagation in Fluid Media Author: K. Murawski
Vol. 8
Wave Processes in Solids with Microstructure Author: V. I. Erofeyev
SERIES ON STABILITY, VIBRATION AND CONTROL OF SYSTEMS
Founder and Editor: Ardeshir Guran Co-Editors: C. ChristOV, M. Cloud G. Stavroulakis & W. B. Zimmerman
Amplification of Nonlinear Strain Waves in Solids
Alexey V. Porubov A. F. Ioffe Physico-Technical Institute, Russia
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