A New Formalism of Elastic Waves expressions

in the Study of Interface Phenomena :

Application for the case of lead molybdenum oxide PbMoO4

A. Maalej1*, N. Fourati2, K. Masmoudi2, M. H. Ben Ghozlen3

1Département de Physique, Faculté des Sciences de Sfax, 3018, Sfax, Tunisia

2Laboratoire de physique appliquée, Faculté des Sciences de Sfax, 3018, Sfax, Tunisia

3Laboratoire de physique des matériaux, Faculté des Sciences de Sfax, 3018, Sfax, Tunisia

* Corresponding author. E-mail: ahmedmaalej@yahoo.fr or ahmed.maalej@fss.rnu.tn

Received : 29 May 2002; revised version accepted : 01 June 2003

Abstract 

The anisotropy induces some difficulties in the resolution of elastic waves propagation’s in materials having interface or twinning problems. These difficulties are linked to the draw of slowness surfaces. Thus constitute an important tool for the study of reflection and refraction phenomena. To solving this problem, we suggested a basis change for reducing these difficulties. A complex basis set is defined for crystallographic space, in which dynamical elastic laws are reformulated. Using this basis introduces an interesting reduction of the computation cost in the draw of slowness surfaces. This numerical reduction is due to the vanishing of 8 rigidity tensor components in complex space compared to real space.

This formulation was applied for the case of lead molybdenum oxide (PbMoO4). In this application, we point out the facility introduced by this method. The results were in agreement with those obtained by the real space method.

Keywords: Elastic wave; Complex basis; Twinning.

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