Experimental Mechanics

, Volume 57, Issue 4, pp 659–664 | Cite as

Far-Field Boundary Conditions for Calculation of Hole-Drilling Residual Stress Calibration Coefficients

Brief Technical Note
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Abstract

The Hole-Drilling method for residual stress measurement, both in its standard version based on strain gauge rosettes (ASTM E837-08e1 2008) and its derivative using optical methods for estimating the displacement field around the hole (Baldi (2005) J Eng Mater Technol 127(2):165–169; Schajer and Steinzig (2005) Exp Mech 45(6):526–532; Schajer (2010) Exp Mech 50(2):159–168), relies on numerical calibrated coefficients (A and B) to correlate the experimentally acquired strains (displacements) with residual stress components. To estimate the A and B coefficients, two FEM (Finite Element Method) computations are required, the former related to a hydrostatic stress state, the latter to a pure shear case. Both can be implemented using either a semi-analytical approach (i.e. an axis-symmetric mesh expanded in the tangential direction using a Fourier series) or a tri-dimensional mesh, usually exploiting the double symmetry of the problem. Whatever the approach selected, the definition of constraints to be applied to the outer boundary is critical because the hole-drilling method assumes an infinite plate, thus both the usual solutions—fully constrained or free boundaries—are unable to correctly describe the theoretical situation. In the following, the problem of correct simulation of the infinite domain will be discussed and two simple and effective solutions will be proposed.

Keywords

Residual stress Hole drilling Calibration coefficients Finite element analysis Boundary conditions 

Notes

Acknowledgments

I am grateful to Prof. G. S. Schajer with whom I discussed some of the topics investigated in this paper. He provided me insightful comments and constructive criticisms at different stages of my work. Any error contained herein, naturally, remain my responsibility.

References

  1. 1.
    ASTM E837-08e1 (2008) Standard test method for determining residual stresses by the hole-drilling strain-gage method. American Society for Testing and Materials, West Conshohocken, PAGoogle Scholar
  2. 2.
    Baldi A (2005) A new analytical approach for hole drilling residual stress analysis by full field method. J Eng Mater Technol 127(2):165–169CrossRefGoogle Scholar
  3. 3.
    Schajer GS, Steinzig M (2005) Full-field calculation of hole drilling residual stresses from electronic speckle pattern interferometry data. Exp Mech 45(6):526–532CrossRefGoogle Scholar
  4. 4.
    Schajer GS (2010) Advances in hole-drilling residual stress measurements. Exp Mech 50(2):159–168CrossRefGoogle Scholar
  5. 5.
    Nelson DV, Makino A, Fuchs EA (1997) The holographic-hole drilling method for residual stress determination. Opt Lasers Eng 27:3–23CrossRefGoogle Scholar
  6. 6.
    Zienkiewicz OC, Taylor RL. The Finite Element Method: the Basis, volume 1, chapter 9, pages 229–234. Butterworth- Heinemann, 5th edition, 2000. ISBN 0-7506-5049-4Google Scholar
  7. 7.
    Muskhelishvili NI. Some Basic Problems of the Mathematical Theory of Elasticity, chapter 9, pages 210–211. P. Noordhoff Ltd, Groningen, The Netherlands, translated from fourth, corrected and augmented russian edition, 1963. Translated from the Russian by J.R.M. RadokGoogle Scholar

Copyright information

© Society for Experimental Mechanics 2016

Authors and Affiliations

  1. 1.Dipartimento di Ingegneria Meccanica, Chimica e dei MaterialiUniversità degli Studi di CagliariCagliariItaly

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