  The two-dimensional thermoelastic problem of an adiabatic cavity in an
infinite isotropic homogeneous medium subjected to uniform heat flux is
studied, where the shape of the cavity is characterized by the Laurent
polynomial. By virtue of a novel tactics, the obtained K-M potentials can be
explicitly worked out to satisfy the boundary conditions precisely, and the
possible translation of the cavity is also available. The new and explicit
analytical solutions are compared with the those reported in literature and
some serious problems are found and corrected. Finally, some discussions on the
thermal stress concentration around the tips of three typical cavities are
provided.
