Theoretical and experimental determination of residual stresses in plane joints

We have developed a mathematical model for determining residual stresses and stress concentration in the neighborhood of a plane joint of dissimilar materials and formulated variational statements of direct and inverse problems. The parameters of the stress–strain state of the object under study measured by nondestructive methods serve as input data for the inverse problem. We carry out a numerical analysis of solutions of the direct and inverse problems of determining stress concentration in the neighborhood of a joint of materials with different moduli. Finally, we discuss the applicability of the developed approach to the monitoring of the stress–strain state of joints in the course of their operation and to the evaluation of their residual life.