OPTIMIZATION OF THE STEADY-STATE THERMAL DISPLACEMENTS OF A PLANE-DEFORMED HALF SPACE BY MEANS OF EXTERNAL THERMAL LOADING

摘要

We study a two-dimensional stationary problem of control over the vertical thermal displacements of a plane-deformed half space heated by internal heat sources. As the control function, we choose the distribution of temperature of the environment. The half space participates in the convective heat exchange with the environment according the Newton law. The formulated control problem is reduced to the solution of the inverse problem of thermoelasticity whose solution is constructed in the space of continuous functions. For some specific cases of thermal loading of the half space, we analyze the behavior of the constructed solution.