Measurement of In-Plane Residual Stresses Varying With Depth by the Interferometric Strain/Slope Rosette and Incremental Hole-Drilling
Source abstract
Abstract
A new experimental method utilizing the Interferometric Strain/Slope Rosette (ISSR) and incremental hole-drilling is applied to measure in-plane residual stresses which vary with depth. For each depth increment, the ISSR measures three relieved strain components and two relieved slopes at point near the hole edge. Adapting the classical Integral Method to the ISSR, and incorporating a Tikhonov regularization scheme, stabilized residual stress solutions are back-calculated from the measured deformations. This paper describes the measurement principle of the ISSR, the derivation and numerical calculation of the ISSR hole-drilling coefficients, and the methodology used to back-calculate and regularize the residual stress solution. A verification test on a thin-plate with a through-hole, and residual stress measurements performed on a shot-peened Titanium-alloy block, are presented and discussed.
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Research context
OpenAlex topics: Welding Techniques and Residual Stresses · Advanced machining processes and optimization · Advanced Surface Polishing Techniques
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Affiliations
Department of Mechanical Engineering, Oakland University, Rochester, MI 48309
References (18)
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1. Schajer, G. S. , 1981, “Applications of Finite Element Calculations to Residual Stress Measurements,” ASME J. Eng. Mater. Technol., 103(2), pp. 157–163.10.1115/1.3224988 ↗
2. Schajer, G. S. , 1988, “Measurement of Non-Uniform Residual Stresses Using the Hole-Drilling Method: Part II—Practical Application of the Integral Method,” ASME J. Eng. Mater. Technol., 110(4), pp. 344–349.10.1115/1.3226060 ↗
3. Niku-Lari, A., Lu, J., Flavenot, J. F., 1985, “Measurement of Residual-Stress Distribution by the Incremental Hole-Drilling Method,” Exp. Mech., 25(2), pp. 175–185.10.1007/BF02328809 ↗
4. Makino, A., and Nelson, D. V., 1997, “Determination of Sub-Surface Distributions of Residual Stresses by a Holographic-Hole Drilling Technique,” ASME J. Eng. Mater. Technol., 119, pp. 95–103.10.1115/1.2805981 ↗
5. Wu, Z., Lu, J., and Han, B., 1998, “Study of Residual Stress Distribution by a Combined Method of Moire Interferometry and Incremental Hole-Drilling Method, Part I: Theory & Part II: Implementation,” ASME J. Appl. Mech., 65, pp. 837–850.10.1115/1.2791920 ↗
6. Li, K. , 1997, “Application of Interferometric Strain Rosette to Residual Stress Measurements,” Opt. Lasers Eng., 27, pp. 125–136.10.1016/S0143-8166(95)00014-3 ↗
7. Li, K. , 1995, “Interferometric 45° & 60° Strain Rosettes,” Appl. Opt., 34(28), pp. 6376–6379.10.1364/AO.34.006376 ↗
8. Li, K. , 1996, “Out-of-Plane Displacement Derivative Measurements Using Interferometric Strain/Slope Gage,” ASME J. Appl. Mech., 63, pp. 1033–1038.10.1115/1.2787225 ↗
9. Li, K. , 1997, “Interferometric Strain/Slope Rosette for Static and Dynamic Measurements, Experimental Mechanics,” Exp. Mech., 37(2), pp. 111–118.10.1007/BF02317845 ↗
10. Cook, R. D., Malkus, D. S., Plesha, M. E., 1989, Concepts and Applications of Finite Element Analysis, 3rd ed., John Wiley & Sons, New York.
11. Makino, A., and Nelson, D., 1994, “Residual-Stress Determination by Single-Axis Holographic Interferometry and Hole Drilling—Part I: Theory,” Exp. Mech., 34(1), pp. 65–78.10.1007/BF02328443 ↗
12. Vangi, D. , 1994, “Data Management for the Evaluation of Residual Stresses by the Incremental Hole-Drilling Method,” ASME J. Eng. Mater. Technol., 116(4), pp. 561–566.10.1115/1.2904329 ↗
13. Schajer, G. S., and Altus, E., 1996, “Stress Calculation Error Analysis for Incremental Hole-Drilling Residual Stress Measurements,” ASME J. Eng. Mater. Technol., 118(1), pp. 120–126.10.1115/1.2805924 ↗
14. Zuccarello, B. , 1999, “Optimal Calculation Steps for the Evaluation of Residual Stress by the Incremental Hole-Drilling Method,” Exp. Mech., 39(2), pp. 117–124.10.1007/BF02331114 ↗
15. Tikhonov, A. N., and Arsenin, V. Y., 1977, Solution of Ill-Posed Problems, John Wiley & Sons, New York.
16. Beck, J. V., Blackwell, B., and St. Clair, Jr., C. R., 1985, Inverse Heat Conduction—Ill-Posed Problems, Wiley-Interscience, New York.
17. Kirsch, A., 1996, An Introduction to the Mathematical Theory of Inverse Problems, Springer, New York.10.1007/978-1-4612-5338-9 ↗
18. Tjhung, T., and Li, K., 1999, “On Accuracy of Residual Stress Measurements by Hole-Drilling and Interferometric Strain Rosette,” Proceedings of the SEM Annual Conference on Theoretical, Experimental and Computational Mechanics, Cincinnai, OH, June 7–9, 1999, Society of Experimental Mechanics, Bethel, CT, pp. 387–390.