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TECHNICAL PAPERS

On the Improvement of Calibration Coefficients for Hole-Drilling Integral Method: Part I—Analysis of Calibration Coefficients Obtained by a 3-D FEM Model

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

Department of Mechanical Engineering, National Chung Cheng University, 160, San-Hsing, Ming-Hsiung, Chia-Yi, 621, Taiwan, R.O.C.

J. Eng. Mater. Technol 124(2), 250-258 (Mar 26, 2002) (9 pages) doi:10.1115/1.1416685 History: Received September 07, 2000; Revised April 25, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

Yen,  H. J., and Lin,  M. C. C., 1995, “Measurement of Residual Stress in the Weld Overlay Piping Components,” Exp. Mech., 35, No. 2, pp. 89–95.
Roelens,  J. B., Maltrud,  F., and Lu,  J., 1994, “Determination of Residual Stresses in the Submerged Arc Multi-pass Welds by Means of Numerical Simulation and Comparison with Experimental Measurements,” Weld. World, 33, No. 3, pp. 152–159.
Richard,  C. S., Beranger,  G., Lu,  J., and Flavenot,  J. F., 1999, “The Influence of Heat Treatment and Interdiffusion on the Adhesion of Plasma-Sprayed NiCrAlY Coatings,” Surf. Coat. Technol., 82, pp. 99–109.
Smith, David J., and Bonner, Neil W., 1996, “Measurement of Residual Stresses Using the Deep Hole Method,” ASME, Pressure Vessels and Piping Division, Vol. 327, pp. 53–65.
Mathar,  J., 1934, “Determination of Initial Stresses by Measuring the Deformations Around Drilled Holes,” Trans. ASME, 56, pp. 249–254.
ASTM E 837, 1985, “Determining Residual Stresses by the Hole-Drilling Strain-gage Method,” American Society for Testing and Materials, Philadelphia, Pa.
Kroenke, Holloway, and Mabe, 2000, “Stress Calculation Update in ASTM E 837 Residual Stress Hole Drilling Standard,” Advances in Computational Science and Engineering, Vol. 1, pp. 695–701, Atluri and Brust, eds., Aug., Tech Science Press.
Rendler,  N. J., and Vigness,  I., 1966, “Hole Drilling Strain Gage Method of Measuring Residual Stresses,” Exp. Mech., 6, No. 12, pp. 577–586.
Bathgate,  R. G., 1968, “Measurement of Non-uniform Biaxial Residual Stresses by the Hole-Drilling Method,” Strain, 4, No. 2, pp. 20–29.
Kelsey, R. A., 1956, “Measuring Non-uniform Residual Stresses by the Hole-drilling Method,” Proceedings of SESA, Vol. 14, No. 1, pp. 181–194.
“Measurement of Residual Stresses by the Hole-Drilling Strain Gage Method,” 1993, Tech. Note 503-4, Measurements Group, Raleigh, NC.
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, No. 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, No. 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, No. 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, No. 6, pp. 205–207.
Wern,  H., 1995, “Measurement of Non-uniform Residual Stresses Using the Hole-drilling Method, A New Integral Formalism,” Strain, 31, No. 2, pp. 63–68.
Hampton,  R. W., and Nelson,  D. V., 1992, “On the Use of the Hole-Drilling Technique for Residual Stress Measurement in Thin Plates,” ASME J. Pressure Vessel Technol., 114, pp. 292–299.
Schajer,  G. S., 1981, “Application of Finite Calculations to Residual Stress Measurements,” ASME J. Eng. Mater. Technol., 103, No. 2, pp. 157–163.
Zienkiewicz, O. C., 1977, The Finite Element Method, 3rd. ed., Chapter 15, McGraw-Hill, New York.
SYSWELD, User’s Manual, SYSTUS 233, Framasoft+CSI, 1996.

Figures

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Schematic illustration of dimensionless stress depth H and dimensionless hole depth h
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A three-dimensional model used to determine calibration coefficients āi,j and b̄i,j
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Loading conditions on the hole boundary and the position of gage elements in the three dimensional model
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Change of Ai,i versus dimensionless thickness t/Rm at R/Rm=0.3
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Deformation of elements on thin plate (t/Rm=0.9,R/Rm=0.3, the displacement of each node was multiplied by a factor of 2000)
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Deformation of elements on thick plate (t/Rm=2,R/Rm=0.3, the displacement of each node was multiplied by a factor of 2000)
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Change of Bi,i versus dimensionless thickness t/Rm at R/Rm=0.3
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Change of Ai,i versus dimensionless thickness t/Rm at R/Rm=0.4
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Change of Bi,i versus dimensionless thickness t/Rm at R/Rm=0.4
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Difference between calibration coefficients Ai,j using the 3-D model in this work and the 2-D model of Schajer
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Difference between calibration coefficients Bi,j using the 3-D model in this work and the 2-D model of Schajer
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Difference between calibration coefficients āi,j using the 3-D model in this work and the 2-D model of Schajer
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Comparison between coefficients Ai and Bi using the 3-D model in this work and the experimental work by Rendler 8 modified by a correction factor
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Comparison between coefficients Ai and Bi using the 3-D model in this work and the experimental work by Bathgate 9 modified by a correction factor
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Comparison between coefficients Ai and Bi using the 3-D model in this work and the experimental work by Kelsey 10 modified by a correction factor

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