Long‐wavelength propagation in composite elastic media II. Ellipsoidal inclusions

摘要: A self‐consistent method of estimating effective macroscopic elastic constants for inhomogeneous materials with ellipsoidal inclusions is formulated using elastic‐wave scattering theory. The a generalization the spherical presented in first part this series. results are compared to Kuster–Toksoz estimates moduli and rigorous Hashin–Shtrikman bounds Miller bounds. For general inclusions, our satisfy both more stringent bounds, whereas nonspherical do not even general. Our self‐consistency conditions cases needle disk differ from those Wu, Walpole, Boucher. Since better agreement it concluded that be preferred. also briefly other theory approaches. used calculate velocity attenuation waves fluid‐saturated media oblate prolate spheroidal inclusions.