On the contact interaction of dissimilar anisotropic half-planes with thermally insulated gaps at the interface

We obtain a system of singular integral equations for the problem of thermoelastic contact of two dissimilar anisotropic half-planes with a system of thermally isolated gaps on the line of contact. Analysis of the contact interaction parameters was carried out for half-planes made of identical materials using the condition that on the surface of one of them there is a symmetric hole of prescribed shape. We give a scheme for numerical solution of the problem for holes of different profiles. Translated fromMatematichni Metodi i Fiziko-mekhanichni Polya, Vol. 40, No. 1, 1997, pp. 117–124.