A method is developed for determining the three displacement components by the method of holographic interferometry from two interferograms used to measure residual stresses by hole drilling. The displacements are determined at the intersection points of the principal axes and the hole boundary. The method is experimentally validated by measuring the stress state of a plate under uniaxial tension Keywords: displacement determination method, holographic interferometry, hole-drilling technique, residual stress, plate under uniaxial tensionIntroduction. Experimental stress-strain analysis of structural members occupies an important place in solid mechanics. Associated methods are strain-gauging, X-ray diffraction, ultrasonic and optical methods, etc. [1][2][3][4][5][6][7][8][12][13][14]. Note that ultrasonic stress analysis is based on the dependence of the wave velocity on elastic constants of high order. Guz [3] has derived analytic relations between unknown residual stresses and the velocity of elastic waves within the framework of linearized solid mechanics.The importance and expediency of solving problems of linearized solid mechanics for various design models were pointed out in [9]. Exact solutions to mixed plane problems of solid mechanics in the cases of statics, dynamics, stability, and fracture were analyzed in [10].Residual stresses in modern metal structures are induced by various processes such as welding, soldering, casting, and forming. Quantitative assessment of residual stresses is important for predicting the load-bearing capacity and life of structures. In this connection, the development of efficient experimental techniques for determination of residual stresses is of practical interest.Of the well-known residual-stress measurement techniques, hole-drilling strain gauge method [4] has become the most popular. The idea of the method is to remove a small amount of metal by drilling a hole in a specimen with residual stresses. The relieved surface strains can then be measured with a special strain gauge rosette.Holographic interferometry has opened up new opportunities for further perfection the hole-drilling method. The advantages of holographic interferometry are that it is a noncontact procedure and that it allows determining the three components of the displacement vector from fringe patterns over the entire laser-illuminated surface of the specimen. The experimental determination of displacements by holographic interferometry to calculate residual stresses is the subject of the papers [1,[5][6][7][8]12].To determine residual stresses, we need to establish the displacement-stress relationship. One of the ways to do this is to use the Kirsch solution [11] for an infinite plate with a circular hole. The paper [5] was the first to combine the hole-drilling method and holographic interferometry. For blind holes, the authors of [12] proposed to determine the coefficients of the relationship between the displacement components and the surface stresses from a finite-element model of the three-dimensio...