The incremental slitting or crack compliance method determines a residual stress profile from strain measurements taken as a slit is incrementally extended into the material. To date, the inverse calculation of residual stress from strain data conveniently adopts a two-dimensional, plane strain approximation for the calibration coefficients. This study provides the first characterization of the errors caused by the 2D approximation, which is a concern since inverse analyses tend to magnify such errors. Three-dimensional finite element calculations are used to study the effect of the out-of-plane dimension through a large scale parametric study over the sample width, Poisson's ratio, and strain gauge width. Energy and strain response to point loads at every slit depth is calculated giving pointwise measures of the out-of-plane constraint level (the scale between plane strain and plane stress). It is shown that the pointwise level of constraint varies with slit depth, a factor that makes the effective constraint a function of the residual stress to be measured. Using a series expansion inverse solution, the 3D simulated data of a representative set of residual stress profiles are reduced with 2D calibration coefficients to yield the error in stress. The sample width below which it is better to use plane stress compliances than plane strain is shown to be about 0.7 times the sample thickness; however, even using the better approximation, the rms stress errors sometimes still exceed 3% with peak errors exceeding 6% for Poisson's ratio 0.3, and errors increase sharply for larger Poisson's ratios. The error is significant, yet, error magnification from the inverse analysis in this case is mild compared to, e.g., plasticity based errors. Finally, a scalar correction (effective constraint) over the plane-strain coefficients is derived to minimize the root-mean-square (rms) stress error. Using the posed scalar correction, the error can be further cut in half for all widths and Poisson's ratios.
Skip Nav Destination
Article navigation
July 2013
Research-Article
Three-Dimensional Constraint Effects on the Slitting Method for Measuring Residual Stress
C. Can Aydıner,
C. Can Aydıner
Assistant Professor
Bogazici University,
Bebek,
e-mail: can.aydiner@boun.edu.tr
Department of Mechanical Engineering
,Bogazici University,
Bebek,
Istanbul, 34342
, Turkey
e-mail: can.aydiner@boun.edu.tr
Search for other works by this author on:
Michael B. Prime
Michael B. Prime
Search for other works by this author on:
C. Can Aydıner
Assistant Professor
Bogazici University,
Bebek,
e-mail: can.aydiner@boun.edu.tr
Department of Mechanical Engineering
,Bogazici University,
Bebek,
Istanbul, 34342
, Turkey
e-mail: can.aydiner@boun.edu.tr
Michael B. Prime
Contributed by the Materials Division of ASME for publication in the Journal of Engineering Materials and Technology. Manuscript received June 11, 2012; final manuscript received February 10, 2013; published online May 6, 2013. Assoc. Editor: Marwan K. Khraisheh.
J. Eng. Mater. Technol. Jul 2013, 135(3): 031006 (10 pages)
Published Online: May 6, 2013
Article history
Received:
June 11, 2012
Revision Received:
February 10, 2013
Citation
Aydıner, C. C., and Prime, M. B. (May 6, 2013). "Three-Dimensional Constraint Effects on the Slitting Method for Measuring Residual Stress." ASME. J. Eng. Mater. Technol. July 2013; 135(3): 031006. https://doi.org/10.1115/1.4023849
Download citation file:
Get Email Alerts
Investigations on Formability Enhancement of Friction Stir Tailor-Welded Blanks
J. Eng. Mater. Technol (July 2025)
Blast Mitigation Using Monolithic Closed-Cell Aluminum Foam
J. Eng. Mater. Technol (April 2025)
Related Articles
On the Generation of Tuned Test Problems for Stress Concentrations Induced by Shear Tractions
J. Verif. Valid. Uncert (December,2024)
On the Kinematic Error in Harmonic Drive Gears
J. Mech. Des (March,2001)
Intrinsic Errors on Sheet Strain Measurements Based on a Printed Square Grid
J. Manuf. Sci. Eng (November,2000)
Common Errors on Mapping of Nonelliptic Curves in Anisotropic Elasticity
J. Appl. Mech (December,2000)
Related Proceedings Papers
Related Chapters
Interlaboratory Comparison of the Thickness of the Destroyed Surface Layer of Closed-cell Foam Insulation Specimens
Heat-Air-Moisture Transport: Measurements on Building Materials
Errors in Automated Pavement Surface Distress Data Collection
Surface Characteristics of Roadways: International Research and Technologies
Analysis of Errors in Guarded Hot Plate Measurements as Compiled by the Finite Element Method
Guarded Hot Plate and Heat Flow Meter Methodology