Solitary waves in micropolar elastic crystals
type: Item
instance of: scholarly article
title: Solitary waves in micropolar elastic crystals
zbMATH Open document ID: 0613.73004
DOI: 10.1016/0020-7225(86)90158-8
author: A. Miled
author: Gérard A. Maugin
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: In this work the authors introduced the notion of Bloch and Néel walls in the description of micropolar elastic crystals by analogy with the domain structure in ferromagnetics and ferroelectrics. By establishing a one-dimensional version of the nonlinear theory of micropolar continua developed by \textit{C. B. Kafadar} and \textit{A. C. Eringen} [ibid. 9, 271- 305 and 307-329 (1971; Zbl 0218.73004)], the authors showed that the dynamics of such walls can be represented by solitary waves, both in microrotation angle and one or two elastic displacements depending as whether a Bloch or Néel wall is considered. It is first shown that the longitudinal displacement is coupled with the angle of microrotation about the axis of propagation. In the second case, they showed that the longitudinal displacement and the transverse displacement component polarized in the plane of microrotation are coupled to the latter. They obtained the exact-closed solutions along with the pseudo dispersion relations. Furthermore, the stability of these solutions are also discussed. This work might be very useful for those researchers working on the propagation of solitary waves.
reviewed by: Hilmi Demiray
Mathematics Subject Classification ID: 74A35
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 3992983
zbMATH Keywords: exact dynamical solutions
zbMATH Keywords: Bloch wall
zbMATH Keywords: Neel wall
zbMATH Keywords: Bloch and Néel walls
zbMATH Keywords: micropolar elastic crystals
zbMATH Keywords: domain structure
zbMATH Keywords: ferromagnetics
zbMATH Keywords: ferroelectrics
zbMATH Keywords: one-dimensional
zbMATH Keywords: nonlinear theory of micropolar continua
zbMATH Keywords: solitary waves
zbMATH Keywords: longitudinal displacement
zbMATH Keywords: angle of microrotation
zbMATH Keywords: transverse displacement component
zbMATH Keywords: exact-closed solutions
zbMATH Keywords: pseudo dispersion relations
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90158-8
OpenAlex ID: W2004652813
cites work: Q3907245
cites work: Q5522078
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description: scientific article; zbMATH DE number 3992983