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Elastic wave propagation in transversely isotropic media. II. The generalized Rayleigh function and an integral representation for the transducer field. Theory

: Spies, M.


Journal of the Acoustical Society of America : JASA 97 (1995), Nr.1, S.1-13
ISSN: 0001-4966
ISSN: 1520-8524
Fraunhofer IZFP ()
Anisotropie; anisotropy; Fehler; Green's function; Greensche Funktion; Holographie; holography; imaging; inverse problem; inverses Problem; Ultraschallprüfung; ultrasonic testing

The Basis for the derivation of elastodynamic holography for arbitrarily oriented transversely isotropic materials, given in Part I of thes presenation (M. Spies, J. Acoust. Soc. Am. 96, 1144-1157, 1994) is Huygens'pinciple and a resulting relationship which links the spatial spectra of surface traction and displacement distribution. Similar to deriving the plane-wave spectral decompostion of elastic wavefields for give displacement, this relationship yields a corresponding decomposition for the case of given surface traction which can be applied to model the problem of transducer radiation as significant to nondestructive testing. For a physically resonable distribution of surface traction within the transducer aperture, an integral representation for the resulting transducer field is obtained.