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Green's Tensor Function for Lamb's Problem. The General Anisotropic Case

: Spies, M.


Journal of the Acoustical Society of America : JASA 102 (1997), No.4, pp.2438-2441
ISSN: 0001-4966
ISSN: 1520-8524
Journal Article
Fraunhofer IZFP ()
Anisotropie; anisotropy; Green's function; Greensche Funktion; lambs problem; Lamb'sches Problem; Materialprüfung; materials testing; Ultraschall; ultrasonic

The complete solution of Lamb's three-dimensional problem of determining the elastic disturbance resulting from a point force in a half-space is addressed. The derived expression for the half-space Green's function is valid for a general anisotropic medium and is given in a two-dimensional space-time spectral representation, which is well suited for numerical evaluation. It is expressed with respect to the displacement and traction vectors involved as well as the full-space Green's dyadic (or displacement tensor) and triadic (or stress tensor) functions.