The characteristic dependence of ultrasonic velocity on stress has for a long time been thought promising for residual stress measurements in materials. A review of theory and experimental methods can be found in [1, 2, 3]. The major problem in practical utilization of most of these techniques is the necessity of separating the effects of texture (anisotropy) and stress on the measured ultrasonic velocity. In most cases the materials under consideration have unknown anisotropy and even if the anisotropy is small its effect cannot be neglected in stress measurements.