caa a22 4500 605524335 CHVBK 20210128100753.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10958-015-2319-3 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2319-3 On a Two-Component Elastic Mixture with Different Temperature Values in a Scalar Field [Elektronische Daten] [R. Meladze, M. Kharashvili, K. Skhvitaridze] In this paper, we study the static case of the two-temperature theory of elastic mixtures, when partial displacements of the elastic components of the mixture have equal values. The contact problem with a ball bounded by the contact spherical surface is considered. The ball is filled with a composite material, while the external scalar field of the ball is defined by a harmonic function. The representation formula obtained for a general solution of a system of static homogeneous differential equations of the two-temperature theory of elastic mixtures is expressed by means of four harmonic and one metaharmonic functions. The theorem stating the uniqueness of a contact problem solution is proved. The problem solution is obtained in the form of absolutely and uniformly convergent series. Springer Science+Business Media New York, 2015 Meladze R. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut Kharashvili M. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut Skhvitaridze K. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/4(2015-04-01), 393-405 1072-3374 206:4<393 2015 206 10958 https://doi.org/10.1007/s10958-015-2319-3 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/s10958-015-2319-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Meladze R. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut NATIONALLICENCE 700 1- Kharashvili M. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut NATIONALLICENCE 700 1- Skhvitaridze K. Department of Mathematics, Georgian Technical University, Tbilisi, Georgia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 206/4(2015-04-01), 393-405 1072-3374 206:4<393 2015 206 10958