Bounds and approximations for elastic wave speeds in cubic crystals

Q. H. Zuo, Keith Hjelmstad

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Unlike an isotropic elastic medium, the wave speeds in an anisotropic medium depend on the direction of wave propagation. In this paper, bounds are developed on the speeds of waves propagating along an arbitrary direction in a cubic crystal through an additive split of the acoustic tensor into two parts, the eigenproperties of which are trivial to determine. The bounds are obtained by applying the minimax property of eigenvalues. Linear estimates of the wave speeds are obtained from a first-order expansion of the eigenvalues of the acoustic tensor, with respect to an anisotropy index, about the value of that index for which anisotropy vanishes.

Original languageEnglish (US)
Pages (from-to)3415-3420
Number of pages6
JournalJournal of the Acoustical Society of America
Volume101
Issue number6
DOIs
StatePublished - Jun 1997
Externally publishedYes

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elastic waves
eigenvalues
approximation
tensors
crystals
anisotropy
acoustics
elastic media
anisotropic media
wave propagation
expansion
estimates
Crystal
Waves
Approximation
Acoustics
Anisotropy

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Bounds and approximations for elastic wave speeds in cubic crystals. / Zuo, Q. H.; Hjelmstad, Keith.

In: Journal of the Acoustical Society of America, Vol. 101, No. 6, 06.1997, p. 3415-3420.

Research output: Contribution to journalArticle

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