Acoustic radiation in elastic medium from internal defect with fracture

A mathematical model describing the wave process generated by a material defect in an unlimited region in the state of spatial shear is considered. The physical process of the appearance of oscillations is studied at the stage of formation of a defect with a fracture that appeared when an internal defect developed under the influence of loads and formed a defect with a break. Only the new defect that appears as a result of this process is assumed to be radiating. The problem consists in finding the characteristics of acoustic emission (AE) arising in this process. The mathematical formulation of the formulated problem leads to a mixed boundary-value problem of mathematical physics. The latter, in turn, reduces to an equivalent system of boundary integral equations (BIE). The solvability of BIE and the structure of their solutions are established.
The problem proposed for consideration is related to the physical and mathematical description of the wave fields generated by AEs from defects in materials.