The structure consisting of an infinite plate and circular inclusion which is inserted under a forced-fit condition is considered It is assumed that the material of the plate and inclusion is not the same. Moreover, the material of the inclusion is harder than that of the plate. The structure is subjected to the homogeneous monotonically increasing temperature field. At a sufficiently large value of the temperature a plastic zone begins to form at the inner surface of the plate and moves inwards with the increasing temperature. In the plastic zone the J_2 flow theory of plasticity is used. Because the plate and inclusion are thin they were taken to be in a state of plane stress. An application of the solution obtained to the problem of instability in the inclusion is considered. Another applications of the solution to the failure of the structure are discussed.
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