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Strain Solitons in Solids and How to Construct Them

Strain Solitons in Solids and How to Construct Them by Alexander M. Samsonov
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Preface
Introduction
List of Symbols
NONLINEAR WAVES IN ELASTIC SOLIDS
Basic Definitions
Physical and Geometrical Nonlinearity
Compressibility, Dispersion, and Disipation in Wave Guides
MATHEMATICAL DESCRIPTION OF GENERAL DEFORMATION WAVE PROBLEM
Action Functional and the Lagrange Formalism
Coupled Equations of Long Wave Propagation
One-Dimensional Quasi Hyperbolic Equation
Main Assumptions and 2-D Coupled Equations
Waves in a Wave Guide Embedded in External Medium
DIRECT METHODS AND FORMAL SOLUTIONS
Nonlinear Hyperbolic and Evolution Equations
Conservation Laws
Some Notices in Critical Points Analysis for an O.D.E.
New Approach to a Solution for an Autonomous Dissipative Nonlinear Equation
A General Theorem of Reduction
Dissipative Equations with Polynomial Nonlinearity
Elliptic Function Solutions to Higher Order Problems
Example for a Nonlinear Reaction-Diffusion Problem
NONLINEAR STRAIN WAVES IN ELASTIC WAVE GUIDES
Features of Longitudinal Waves in a Rod
Experiments in Nonlinear Waves in Solids
Solitons in Inhomogeneous Rods
Experiments in Soliton Propagation in the Non-Uniform Rod
NONLINEAR WAVES IN COMPLEX WAVE GUIDES
Longitudinal Nonlinear Waves in Elastic Plate
Longitudinal Waves in Rods Embedded in Surrounding Medium
Nonlinear Waves in Layers on the Elastic Half Space
NUMERICAL SIMULATION OF SOLITARY WAVES IN SOLIDS
Numerical Simulation of Non-Stationary Deformation Waves
Solitary Waves in a Homogenous Rod
Solitary Waves in a Nonuniform Rod
Solitary Waves in Complex Rods
CONCLUSIVE REMARKS AND TENTATIVE APPLICATIONS
APPENDIX
INDEX
CRC Press; January 2001
250 pages; ISBN 9781420026139
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Title: Strain Solitons in Solids and How to Construct Them
Author: Alexander M. Samsonov
 
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