Abstract
A numerical algorithm to solve the problem on optimal heating control for a long isotropic homogeneous rectangular parallelepiped under plane strain has been proposed. The control (the surrounding temperature at one of the boundary surfaces of a parallelepiped) which in a minimal time, carries the body from the initial thermal state to the final one characterized by the given mean-integral temperature has been determined. In addition, restrictions both to the control function and to the maximal tangential stress intensity have been considered. The case of elastoplastic deformation of the material has been studied in the framework of the theory of the body element deformation along small curvature paths.
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