The subject of this investigation is stress, displacement, and plastic strain in a centrally heated elastic‐plastic disk. The material is assumed to obey Tresca's yield criterion and its associated flow rule and to exhibit linear strain hardening. Due to the loading under consideration, plastic flow sets in at the center of the disk in a “corner-regime” of Tresca's hexagon, and, as in related cases, the plastic core is composed of two parts, the outer lying in a “side-regime.” For a special hardening parameter, explicit expressions for stress, displacement, and plastic strain are derived. With increasing core temperature, a second plastic zone forms at the edge of the disk.