The fundamental nature of thermoelastic contact between a flat punch and an
anisotropic half-plane solid is studied Based on Lekhnitskii's stress pote
ntials and anisotropic thermoelasticity theory the formulation leads to the
nonhomogeneous Hilbert problem which can be solved in compact form. The co
ntact traction beneath the punch face is derived in the form of the Cauchy-
type integral which is solved numerically. The results show that, depending
on the magnitude of the applied force and the total heat flux, either perf
ect thermal contact throughout the punch face or separation at the punch co
rners occurs. The contact lengths for separation solutions are also examine
d.