About the specifics of identification thermomechanical characteristics of functionally graded hollow cylinder

The coefficient inverse problem for functionally graded hollow cylinder is considered. The direct problem for a cylinder solved based on the joint use of the Laplace transform and the method of adjustment. The solution of the inverse problem is reduced to an iterative procedure, at each step, which is necessary for solving Fredholm integral equation of the 1st kind. Concrete examples of the reconstruction of thermomechanical characteristics are given.