CONTROL OF THERMAL STRESS AND STRAIN

Abstract

The problem of assigning a prescribed thermal stress distribution in a structural part during its thermoelastic deformation is discussed in the first part. The theorem comprising the necessary and sufficient conditions for producing such a prescribed thermal stress distribution is formulated. An objective function is introduced to solve the simple problem of uniaxial stress states in rods. In general, such a function puts the posed problem into the class of optimization problems of the mechanics of deformable solids. Illustrative examples are explicitly solved. The problem of assigning a prescribed thermal strain distribution in a structural part during its thermoelastic deformation is briefly discussed in the second part. A direct approach for its solution is proposed when keeping the thermal stress field constant. The theoretical fundamentals of the method are based on Maysel's formula of uncoupled thermoelasticity. The numerical examples show the effectiveness and reliability of the proposed algorithm.