In this work the connected thermoelastic contact problem for an elastic half-space to which some area heat radiant is brought is considered. Applying a method of integral transformations of Fourier to system of the differential equations of thermoelasticity and a heat conduction equation, the problem is reduced to system of two two-dimensional integral equations for definition of thermoelastic normal voltages and temperature distribution.
Plane elastic contact for a rigid flat-ended punch and a half-space with rough boundary is studied. Taking into account friction forces it is shown that a partial slip near punch edges can exist. The size of the slip zone is unknown and depends on the contact parameters. The problem is reduced to the system of integral equations, which are being solved numerically.
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