On a Two-Component Elastic Mixture with Different Temperature Values in a Scalar Field
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2319-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2319-3 | ||
| 245 | 0 | 0 | |a On a Two-Component Elastic Mixture with Different Temperature Values in a Scalar Field |h [Elektronische Daten] |c [R. Meladze, M. Kharashvili, K. Skhvitaridze] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Meladze |D R. |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia |4 aut | |
| 700 | 1 | |a Kharashvili |D M. |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia |4 aut | |
| 700 | 1 | |a Skhvitaridze |D K. |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/4(2015-04-01), 393-405 |x 1072-3374 |q 206:4<393 |1 2015 |2 206 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2319-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2319-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Meladze |D R. |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kharashvili |D M. |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Skhvitaridze |D K. |u Department of Mathematics, Georgian Technical University, Tbilisi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/4(2015-04-01), 393-405 |x 1072-3374 |q 206:4<393 |1 2015 |2 206 |o 10958 | ||