Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,
Heriot-Watt University, Edinburgh, July 95

How to predict, generate and observe strain solitons in solids

A. M. Samsonov

Theoretical Dept.
A.F.Ioffe Physical Technical Institute,
The Russian Academy of Sciences,
St.Petersburg, 194021 Russia.
e-mail: samsonov@math.ioffe.rssi.ru

Abstract

Mathematical theory of long nonlinear strain waves in elastic wave guides was developed in order to initiate the successful generation of strain solitons in solids. New nonlinear quasi hyperbolic 'double dispersion equation' (DDE) was derived to describe long nonlinear wave evolution in a thin hyperelastic rod. Various exact travelling wave solutions to the DDE were obtained, additional conditions were found, under which the long nonlinear solitary strain waves may exist in nonlinearly elastic materials.

Based on the theory, the experiment was proposed and longitudinal strain solitons in nonlinear elastic wave guides were generated successfully, using laser pulse source, and observed by means of holographic interferometry method. The compression strain solitary wave as a whole is shown on pictures. We demonstrate that the strain soliton can be reproduced and observed in a physical lab in ordinary conditions.

Figures for the paper. (These could not be translated into postscript.)

Conference paper.

ABSTRACTS
NextPreviousIndex
Last modified Mon Apr 8 16:25:01 GB-Eire 1996 (DBD)