Tsukuba Journal of Mathematics

Double points of the slowness surface of the system of crystal acoustics for tetragonal crystals

Claudio Melotti

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Abstract

The aim of this paper is to study the location and the geometrical properties of the double points of the slowness surface associated to the system of linear crystal-elasticity in three space dimensions for tetragonal crystals. It will turn out that compared with the case of cubic crystals, the location of these double points is more involved. Moreover, for some specific choices of the “so-called” stiffiness constants, a new type of singularities namely “biplanar” ones, will appear.

Article information

Source
Tsukuba J. Math., Volume 37, Number 1 (2013), 121-152.

Dates
First available in Project Euclid: 15 July 2013

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1373893408

Digital Object Identifier
doi:10.21099/tkbjm/1373893408

Mathematical Reviews number (MathSciNet)
MR3112421

Zentralblatt MATH identifier
1278.53008

Subjects
Primary: 53A05: Surfaces in Euclidean space
Secondary: 35Q72

Keywords
Decay estimates crystal acoustics

Citation

Melotti, Claudio. Double points of the slowness surface of the system of crystal acoustics for tetragonal crystals. Tsukuba J. Math. 37 (2013), no. 1, 121--152. doi:10.21099/tkbjm/1373893408. https://projecteuclid.org/euclid.tkbjm/1373893408


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