Strain Solitons in Solids and How to Construct Them

ISBN: 9780849306846 出版年：2001 页码：249 Samsonov, Alexander M CRC Press

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