On the Method for Identifying Inhomogeneous Fields of Residual Stresses

Abstract

A numerical-analytical method for three-axial inhomogeneous elastic residual stress determination based on the data of the displacement optical measurement during the incremental hole drilling method is presented. The constitutive relations for the displacements as the three variable functions (in plane of the hole and along its depth) are represented by the Volterra integral operators. A method for finding the basic functions is given. The stress tensor components recovered by the proposed method are in good agreement with the well-known solution of a problem where the residual stresses are formed by bending an elastic-perfectly plastic beam.