Title
Nonlinear Waves In Thermo-Magnetostrictive Elastic Materials
Abstract
The multiple-scale technique is used to study the propagation of bulk nonlinear thermo-magneto elastic waves from the source and the generation of harmonics which are uniformaly valid on a long spatial interval. A nonlinear analysis is presented here based upon rotationally invariant coupled nonlinear thermo-elastic equations of anisotropic magnetostrictive materials. It is shown that there is considerable influence on the evolution of the amplitude of the fundamental harmonic at large distances. A closed-form solution for a displacement held is obtained in the first-order approximation. The displacement field is numerically evaluated versus distance for different values of time and then shown by a graphical presentation. © 1995 Academic Press, Inc.
Publication Date
4-15-1995
Publication Title
Journal of Mathematical Analysis and Applications
Volume
191
Issue
2
Number of Pages
266-276
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1006/jmaa.1995.1130
Copyright Status
Unknown
Socpus ID
3643058764 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/3643058764
STARS Citation
Abd-Alla, Abo El Nour N. and Debnath, Lokenath, "Nonlinear Waves In Thermo-Magnetostrictive Elastic Materials" (1995). Scopus Export 1990s. 2032.
https://stars.library.ucf.edu/scopus1990/2032