Change elastic felds of single crystals depending on the structure core breach

Abstract

The paper is related to the issues of spent nuclear fuel (SNF) storage and radioactive waste (RW) disposal. One of the aspects of changing the structure of materials when exposed to the charged-particle beam was theoretically considered. This situation is realized in the walls of SNF storage facilities and rocks, surrounding the RW storage facilities. To solve the problem of describing the geometry of the breach core, distortions around it, integral equations of elastic waves were applied. The equations, similar to the proposed are widely used in the electrodynamics when solving the problems of electromagnetic wave propagation in waveguides and their scattering on inhomogeneities. The problem was solved by numerical methods. It was assumed that the defect had the ellipsoidal shape. The displacement fields around the core of breach cluster depending on the size of this core were found. The sizes of the core are used in the given form - the ratio of semi-axes. Single crystals of cubic structure were studied. Tungsten and gold were considered as real materials. The displacement fields on their own axes and were counted. The areas of breach core sizes, at which they are stable and steady, were defined. The side ratio, when the stress fields around the cluster of the breach core have such orientation, which leads to the compression and reduction of the central zone of the breach, was found. Further, this can cause the core collapse. Taking into account the needs of the waste storage, such breaches are preferable since they reduce the defect formation in the material, surrounding the source of ionizing radiation.