On uniqueness in the inverse problem for transversely isotropic elastic media with a disjoint wave mode

Anna L. Mazzucato, Lizabeth V. Rachele

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study general anisotropic elastic media that have a disjoint wave mode, that is, elastic media with the property that one sheet of the slowness surface never intersects the others. We extend results from microlocal analysis to describe the propagation of singularities for the disjoint mode. Applying these results to the study of the dynamic inverse problem, we show that displacement-traction surface measurements uniquely determine the travel time between boundary points for the disjoint mode. We conclude that two of the five elastic parameters describing transversely isotropic elastodynamics with ellipsoidal slowness surfaces and a disjoint mode are partially determined by surface measurements. Our approach is well suited to inhomogeneous materials and applying microlocal analysis to the inverse problem.

Original languageEnglish (US)
Pages (from-to)605-625
Number of pages21
JournalWave Motion
Volume44
Issue number7-8
DOIs
StatePublished - Jan 1 2007

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elastic media
uniqueness
elastodynamics
traction
anisotropic media
travel
propagation

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

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On uniqueness in the inverse problem for transversely isotropic elastic media with a disjoint wave mode. / Mazzucato, Anna L.; Rachele, Lizabeth V.

In: Wave Motion, Vol. 44, No. 7-8, 01.01.2007, p. 605-625.

Research output: Contribution to journalArticle

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