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We consider one-dimensional thermoelastic contact problem on vertical indentation
of a rigid thermally insulated half-plane moving horizontally with constant speed over an
elastic coating (strip), while bottom side of the latter is bonded to a rigid foundation. Thermal
flux generated by friction is directed to the strip. Temperature, displacement and stress
distributions along the depth of the coating are derived in the form of infinite series over
eigenfunctions. It is shown that the thermoelastodynamic instability of the obtained solutions
is present in all time range and at any velocities of the half-plane sliding over the surface of
the coating.
Keywords: one-dimensional thermoelastic contact problem; a rigid half-plane moving horizontally; instability of solution |
full paper (pdf, 1632 Kb)