Optimum location of the regions of heating and cooling under heat treatment of welded plates

For movable circular regions of heating and cooling with respect to a weld in a plate, a method is proposed for determining their optimum location such that residual stresses decrease most effectively. We use a solution of the problem of thermoelasticity for an infinite plate on its heating by a heat flux described by a Gaussian distribution. On the basis of the Tresca-Saint-Venant yield condition, nomograms which make it possible to determine the distances of the centers of regions of heating to the center line of the weld are constructed.