2008 | OriginalPaper | Buchkapitel
Diffraction of long elastic waves by an isolated inclusion in a homogeneous medium
Erschienen in: Self-Consistent Methods for Composites
Verlag: Springer Netherlands
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
We consider the one-particle problem for self-consistent methods. The solution of this problem is constructed for incident waves longer than characteristic sizes of the inclusion (long-wave approximation). Explicit equations for the elastic field inside an ellipsoidal inclusion and its limiting forms (oblate and prolate spheroids) are obtained in Sections 5.1–5.3. Thin soft and hard inclusions, and hard axisymmetric fibers are considered in Section 5.4. The final Section 5.5 is devoted to the proof of the optical theorem for diffraction of elastic waves, and the calculation of the total scattering cross-sections of inclusions of various forms.