Polarization-Optical Parameters of the Axisymmetric Residual Stresses in an Isotropic Dielectric Cylinder

We consider the direct problem of determination of axisymmetric residual stresses in a finite isotropic dielectric cylindrical body caused by the diagonal tensor of inconsistent eigenstrains whose components depend only on the radial coordinate. The parameters of the stress field are investigated by using the obtained solution of the problem. These parameters can be empirically found by the polarization-optical method as a result of sounding of the body with rays of polarized light in different directions and then used as input data for the inverse problems of nondestructive determination of the residual stress-strain state. We consider three sets of directions in the planes of space symmetry of the stress-strain state. For each set, we establish the integral relations connecting the values of the corresponding polarizationoptical parameters with the distributions of the components of stresses in a body in the direction of raysounding. We perform quantitative investigations of the polarization-optical parameters depending on the level of residual stresses and their gradients. The results of these investigations enable us to estimate the informativity of the empirical data that can be obtained as a result of ray-sounding of the cylinder along these three sets of directions.