Holographic interferometry techniques are used as a potential tool in nondestructive evaluation of many critical components and materials. It is essentially a surface technique. However, with interferometric accuracies, it could be used to detect sub- surface and inner defects in the object. The application of HNDT technique for the detection of different type of defects in solid propellant grains by transient thermal loading and mechanical loading has been established by the authors [1-3]. This paper deals with a fringe-spacing analysis technique developed for the quantitative evaluation of holographic interferogram in the case of double exposure holography with axial compressive loading. In double exposure technique, two holographic exposures of the object are recorded on the same holographic plate in the initial state and after loading the object. The reconstructed image gives holographic interference fringes along with the three dimensional image of the object. The fringes represent contours of equal displacement caused when the object is loaded. Defect in the object produce local changes in the surface displacement and in turn forms fringe anomaly in the otherwise uniformly varying fringe pattern. The fringe pattern is very sensitive and depends on the object geometry and experimental set up. The present study is limited to low modulus materials like solid rocket propellant in which rigid body motions are minimum and the fringe anomaly can be directly related to a defect in the object. The fringe-spacing analysis technique developed is based on experimental and theoretical data generated. The fringe anomaly corresponding to a defect is quantified in terms of the change in fringe-spacing, in comparison to the defect-free region. From the general equation to the holographic interferometric fringe pattern for a representative model [1], an expression for the fringe-spacing in the direction of applied load has been derived as a function of the defect size and the spatial location of the fringe. Theoretical fringe-spacing curves are plotted based on this expression, to generate the necessary data on fringe-spacing variation corresponding to a defect in comparison to a defect- free case, for establishing the theoretical basis of the technique. Calibration experiments are also carried out on solid propellant specimen to verify the theory. A magnification factor for the fringe anomaly corresponding to a defect has also been introduced for defect sizing.
The technique is very useful for identifying fringe anomalies corresponding to inner or very small defects for which visual fringe anomalies are normally absent. Defect sizing is possible by the standardisation procedure developed using theoretical as well as experimental methods. The sensitivity of the technique and accuracy in defect sizing are also presented. The results are repeatable if the holography set up and loading conditions are not altered and rigid body motions are minimised.
REFERENCES
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- V. R. Ravindran, A. V. S. S. S. R. Sarma and V. U. Nayar, Holographic Nondestructive Testing of Low Modulus Materials Using Bending Loading", British Journal of NDT Vol. 35, pp. 429-432, 1993
- A. V. S. S. S. R. Sarma, T. G. G. Kutty, V. R. Ravindran, et. al., `` Holographic Nondestructive Testing (HNDT) of Propellant Grains", Materials Evaluation Vol. 42, pp. 1025-1028, 1985