Proceedings of the International scientific and practical conference ―Current Issues in Science‖ (January 9-11, 2026) / Publisher website: www.naukainfo.com. – Dresden, Germany, 2026. – 179 p.

151               0 2 2 1 2 2 2 1 1 1         t h t x t x t   . Here f – coefficient of friction between bodies,   t     3 2   ,   , – Lame‘s coefficients, t  – thermal coefficient of linear expansion,   i a – coefficient of heat conductivity for i body, i= 1,2. Let   0   i x i t ,     i i i x x x   ,       i i x x , ( i =1,2). Thus solution of the problem we can obtain by the Laplace‘s integral transformation:           i i j i i i p a x h p h p fV t                             exp 2 1 2 1 2 1 2 2 1 1 2  ,           i i j i i p a x h p h fV q                            exp 2 1 2 1 2 1 2 2 1 1 2  ,                        i i i i i i i x E u a     1 1 1 2               i i j i i i i i p a x p h p h p fV a             exp 2 1 2 1    , here     i i i a    , i =1,2. Consider typical cases for different laws of present stresses      in the formulas (10)-(12). Case 1. Let const P    0  where 0   , i.e.        PH 0   , Here де         0, 0 1, 0    H – Heaviside‘s function. Then p P 0    is in image space. Case 2. Let       0 0         P Н Н , where const P  0 ,    H – Heaviside‘s function. Then   p p P p P 0 0 0 exp       is in image space.