Optimization of transient temperature displacements in given cross-section of a half-space in plane strain state (Q2812903)

In this paper, a solution is constructed to the distribution optimal control problem for transient vertical temperature displacements of a half-space under plane-strain condition. The control function is the capacity of the internal heat sources located in a plane parallel to the boundary surface. Under the assumption of the existence of a control ensuring an infimum of uniform deviation from the given one of the controlled vertical displacements distribution, the optimization problem is reduced to the inverse thermoelasticity problem. For the obtained inverse problem a solution is constructed and analyzed.