AN INVERSE PROBLEM RELATED TO THE DETERMINATION OF ELASTOPLASTIC PROPERTIES OF A CYLINDRICAL BAR

The problem of determining the elastoplastic properties of a cylindric al bar from the experimentally given relation between torsional moment s M and torsion angles a is investigated. This problem leads to the in verse coefficient problem for the non-linear differential equation of the second order. The coefficient dependence of the following non-line ar direct problem solution is studied. Reformulating the inverse probl em as a minimization problem for a certain functional, the existence t heorem for the considered inverse problem is presented. A numerical al gorithm and examples related to direct and inverse problems are consid ered.