Nonlinear waves in thermo-magnetostrictive elastic materials
type: Item
instance of: scholarly article
title: Nonlinear waves in thermo-magnetostrictive elastic materials
zbMATH Open document ID: 0844.73068
author: Abo-el-nour N. Abd-alla
author: Lokenath Debnath
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-09-02T00:00:00Z
review text: This paper deals with the propagation of bulk nonlinear thermomagneto-elastic waves from a source by using the multiple scale method. The nonlinear analysis is based upon rotationally invariant coupled nonlinear thermoelastic equations of anisotropic magnetostrictive materials. A slow space variable is introduced and then a Poincaré expansion is used for the variables of the quasistatic thermomagneto-elastic field. The first-order approximation as well as the second-order approximation are stated. A closed-form solution for a displacement field is found in the first-order approximation. The displacement versus distance is numerically obtained for different values of time. The multiple scale method is concluded to be valid far beyond the limits prescribed by the Poincaré expansion.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74J10
zbMATH DE Number: 801001
zbMATH Keywords: bulk waves
zbMATH Keywords: anisotropic materials
zbMATH Keywords: multiple scale method
zbMATH Keywords: Poincaré expansion
zbMATH Keywords: second-order approximation
zbMATH Keywords: first-order approximation
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1130
OpenAlex ID: W2035323494
DOI: 10.1006/JMAA.1995.1130
description: scientific article; zbMATH DE number 801001