Certain aspects of identification of the inhomogeneous prestressed state in thermoelastic bodies

The problem of identifying the inhomogeneous prestressed state in thermoelastic bodies is formulated. To solve this problem on the basis of a weak statement of the direct problem of thermoelasticity in Laplace transforms, operator equations have been obtained, relating the unknown and measured functions. By way of an example, an iterative procedure of identification of the initial state of a hollow cylinder is considered. Results are presented of numerical experiments on reconstruction of different types of functions.