Scattering from an Interface Defect Between Fiber and Matrix

For quantitative ultrasonic nondestructive evaluation of fiber reinforced materials, it is of great importance to understand scattering process of elastic waves by an interface defect between the fiber and matrix. In practice, the composite material is reinforced by a number of fibers embedded in the matrix. For simplicity of the mathematical modelling, however, we take a single fiber having an infinite length and a uniform cross section included in an elastic solid of infinite extent. The scattering problem of a plane time-harmonic wave by a local interface defect between the fiber and matrix is considered