Boundary-Element Method of Thermoelastic Identification Of Cavities in Long Cylindrical Bodies

The problem of determination of the geometric parameters of a cylindrical heat-insulated tunnel cavity in a long cylindrical body is considered. The measured displacements of the external surface of the body caused by its heating by concentrated stationary heat fluxes under the conditions of convective heat exchange with the medium are used as the input data. A 2D mathematical model of thermoelastic probing of the object is constructed with the use of the method of boundary integral equations. Within this model, we formulate the direct and inverse problems of identification of the parameters of the cavity. With the use of the boundary-element method, the thermoelastic displacements of the external surface of the body are studied and the characteristics of the fields of normal and tangential displacements taken as the informative parameters for the inverse problem are determined. On this basis, the inverse problem of identification of the geometric parameters of the cavity is formulated. A boundary-element algorithm for the solution of the inverse problem is developed.