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TECHNICAL PAPERS

On the Improvement of Calibration Coefficients for Hole-Drilling Integral Method: Part II—Experimental Validation of Calibration Coefficients

[+] Author and Article Information
Jong-Ning Aoh, Chung-Sheng Wei

Department of Mechanical Engineering, National Chung Cheng University, 160 San-Hsing, Minhsiung, Chiayi, 621, Taiwan, R.O.C.

J. Eng. Mater. Technol 125(2), 107-115 (Apr 04, 2003) (9 pages) doi:10.1115/1.1543972 History: Received September 13, 2001; Revised August 12, 2002; Online April 04, 2003
Copyright © 2003 by ASME
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References

Mathar,  J., 1934, “Determination of Initial Stresses by Measuring the Deformations Around Drilled Holes,” Trans. ASME, 56, pp. 249–254.
Kelsey, R. A., 1956, “Measuring Non-Uniform Residual Stresses by the Hole-drilling Method,” Proceedings of SESA, 14 (1), pp. 181–194.
Rendler,  N. J., and Vigness,  I., 1966, “Hole Drilling Strain Gage Method of Measuring Residual Stresses,” Exp. Mech., 6(12), pp. 577–586.
Bathgate,  R. G., 1968, “Measurement of Non-Uniform Biaxial Residual Stresses by the Hole-Drilling Method,” Strain, 4(2), pp. 20–29.
Schajer,  G. S., 1988, “Measurement of Non-Uniform Residual stresses Using the Hole Drilling Method: Part I—Stress Calculation Procedures,” ASME J. Eng. Mater. Technol., 110(4), pp. 318–342.
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.
Niku-Lari,  A., Lu,  J., and Flavenot,  J. F., 1985, “Measurement of Residual Stress Distribution by the Incremental Hole-Drilling Method,” Exp. Mech., 25(6), pp. 175–185.
Flaman,  M. T., and Manning,  B. H., 1985, “Determination of Residual Stress Variation with Depth by the Hole Drilling Method,” Exp. Mech., 25(6), pp. 205–207.
Schajer,  G. S., 1992, “Non-Uniform Residual Stress Measurements by the Hole Drilling Method,” Strain, 28(2), pp. 19–22.
Schajer,  G. S., 1981, “Application of Finite Element Calculations to Residual Stress Measurements,” ASME J. Eng. Mater. Technol., 103, pp. 157–163.
Aoh,  J. N., and Wei,  C. S., 2002, “On the Improvement of Calibration Coefficients for Hole-Drilling Integral Method: Part I—Analysis of Calibration Coefficients Obtained by a Three-Dimensional FEM Model,” ASME J. Eng. Mater. Technol., 124(2), pp. 250–258.
Schajer,  G. S., 1991, “Strain Data Averaging for the Hole Drilling Method,” Exp. Tech., 15(2), pp. 25–28.
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. 120–128.
Ajovalasit,  A., 1979, “Measurement of Residual Stresses By the Hole Drilling Method Influence of Hole Eccentricity,” J. Strain Anal., 14(4), pp. 171–178.
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.
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.
Aoh, J. N., and Wei, C. S., 2003, “Analysis on the Effect of Hole Geometry on the Residual Stress Measurement Using Integral Hole-Drilling Method,” paper submitted to Strain.
Zienkiewicz, O. C., 1977, The Finite Element Method, 3rd ed., McGraw-Hill, New York, Chap. 15.
Measurements Group, 1993, “Measurement of Residual Stresses by the Hole-Drilling Strain Gage Method,” Tech Note-503-4, Measurements Group Inc., Raleigh, NC.
Watkins, D. S., 1991, Fundamentals of Matrix Computations, John Wiley & Sons, New York.

Figures

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A two-dimensional FEM axisymmetric model for the determination of the calibration coefficients for the integral hole-drilling method 56
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A three-dimensional FEM model for the determination of the calibration coefficients for the integral hole-drilling method 11
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Loading conditions on the hole boundary and the position of gage elements in the three-dimensional models
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Change of Ai,i versus dimensionless thickness t/Rm at R/Rm=0.311
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Experimental setup for bending test of cantilever beam
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Transverse section of a hole revealing a reverse-cone shape with apparent diameter Da=2.0 mm, and bottom diameter Db=1.65 mm. An average diameter Davg is defined as Davg=(Da+Db)/2. The height of the reverse cone is 151.8 μm.
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Distribution of relieved stresses along the longitudinal direction on a bending specimen representing thinner plate after successive hole depth increment
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Difference between calibration coefficients āi,j obtained from the three-dimensional model in part I of this work 11 and the two-dimensional model of 6
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Applied stresses on the shallow hole depth and deeper hole depth 56
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Distribution of relieved stresses along the longitudinal direction at each hole depth increment obtained from hole drilling and bending test of a thick plate
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Change of āi,i versus dimensionless thickness t/Rm at R/Rm=0.3
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Probability bounds for the longitudinal relieved stresses calculated by using calibration coefficients corresponding to thin plate (t/Rm=1.34) and two-dimensional model

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