caa a22 4500 605522049 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2269-9 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2269-9 Axisymmetric Stress-Strain State of a Body with Thin Rigid Disk-Shaped Heat-Resistant Inclusion [Elektronische Daten] [H. Kit, V. Halazyuk] We construct a solution of the problem of thermoelasticity for a body with thin rigid heat-resistant inclusion in the class of functions specifying the stress-strain state with constant displacements normal to the plane of inclusion at infinity. The inclusion is modeled by a boundary layer corresponding, from the mathematical viewpoint, to a sheet of moment dipoles and forces and the jump of radial displacements and stresses normal to the plane of inclusion serves as its mechanical manifestation. The solution of the heat-conduction and thermoelasticity equations with satisfying the requirement of continuous dependence of the solutions on boundary conditions is reduced to integral equations of the first kind and realized by the method of Neumann generalized series. We also determine the jump of normal stresses on the surfaces of the inclusion, which guarantees the realization of perfect mechanical contact between the rigid inclusion and the elastic matrix. Springer Science+Business Media New York, 2015 Kit H. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Halazyuk V. Franko Lviv National University, Lviv, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/4(2015-03-01), 602-620 1072-3374 205:4<602 2015 205 10958 https://doi.org/10.1007/s10958-015-2269-9 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/s10958-015-2269-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kit H. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 700 1- Halazyuk V. Franko Lviv National University, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/4(2015-03-01), 602-620 1072-3374 205:4<602 2015 205 10958