Elastic wave scattering from ellipsoidal cavities

Elastic Wave Scattering from Griffith Cracks

To model elastic wave scattering from fatigue cracks in metals, studies were conducted of wave scattering from artificial cracks using ultrasonic spectroscopy. The cracks are of two dimensional planar strips oriented at various angles and embedded in diffusion bonded titanium alloy. The crack is assumed to behave as a Griffith crack and expressions (derived by Achenbach1) to describe diffracted...

Elastic Wave Scattering from Multiple and Odd Shaped Flaws

Using the T-Matrix or Null Field method elastic wave scattering from the following geometries have been studied {a) Rotationally symmetric configurations consisting of two spheroidal cavities separated by a finite distance and with different eccentricities. Exact calculations are compared with single scattering approximations. The frequency spectra are interpreted for various scattering geometr...

Matrix theory of elastic wave scattering

Upon invoking Huygen's principle, matrix equations are obtained describing the scattering of waves by an obstacle of arbitrary shape immersed in an elastic medium. New relations are found connecting surface tractions with the divergence and curl of the displacement, and conservation laws are discussed. When mode conversion effects are arbitrarily suppressed by resetting appropriate matrix eleme...

General Theory of Elastic Wave Scattering

Elastic Flows Of Ellipsoidal Particles

Granular flow rheology can be divided into two global regimes, the Elastic, which is dominated by force chains and the inertial which are nearly free of force chains. The propensity of a material to form force chains is strongly influenced by particle shape. This paper is an attempt to assess the effect of particle shape on flow regime transitions, through computer simulations of shear flow of ...