caa a22 4500 605522170 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2274-z doi (NATIONALLICENCE)springer-10.1007/s10958-015-2274-z Boundary-Element Method of Thermoelastic Identification Of Cavities in Long Cylindrical Bodies [Elektronische Daten] [V. Chekurin, O. Sinkevych] 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. Springer Science+Business Media New York, 2015 Chekurin V. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Sinkevych O. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/5(2015-03-01), 667-676 1072-3374 205:5<667 2015 205 10958 https://doi.org/10.1007/s10958-015-2274-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2274-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chekurin V. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 700 1- Sinkevych O. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/5(2015-03-01), 667-676 1072-3374 205:5<667 2015 205 10958