caa a22 4500 60552212X CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2277-9 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2277-9 Fesenko A. Mechnikov Odessa National University, Odessa, Ukraine aut Mixed Problems of Stationary Heat Conduction and Elasticity Theory for a Semiinfinite Layer [Elektronische Daten] [A. Fesenko] We obtain analytic solutions of problems of stationary heat conduction and elasticity theory for a semiinfinite layer under the conditions of smooth contacts at the end face. The method used for the solution is based on the reduction of the Lamé equations to two jointly solvable equations and to a separately solvable equation. The application of integral transforms to the obtained equations of equilibrium enables us to obtain the exact solution of the problem in the space of transforms. The method of calculation of multiple integrals containing oscillating functions is developed. The temperature and stress fields in a semiinfinite layer depending on the parameters of the area, where the load is applied, and the conditions on the lower boundary of the layer are studied. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/5(2015-03-01), 706-718 1072-3374 205:5<706 2015 205 10958 https://doi.org/10.1007/s10958-015-2277-9 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/s10958-015-2277-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fesenko A. Mechnikov Odessa National University, Odessa, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/5(2015-03-01), 706-718 1072-3374 205:5<706 2015 205 10958