Abstract
The recently developed contour method can measure 2-D, cross-sectional residual-stress map. A part is cut in two using a precise and low-stress cutting technique such as electric discharge machining. The contours of the new surfaces created by the cut, which will not be flat if residual stresses are relaxed by the cutting, are then measured and used to calculate the original residual stresses. The precise nature of the assumption about the cut is presented theoretically and is evaluated experimentally. Simply assuming a flat cut is overly restrictive and misleading. The critical assumption is that the width of the cut, when measured in the original, undeformed configuration of the body is constant. Stresses at the cut tip during cutting cause the material to deform, which causes errors. The effect of such cutting errors on the measured stresses is presented. The important parameters are quantified. Experimental procedures for minimizing these errors are presented. An iterative finite element procedure to correct for the errors is also presented. The correction procedure is demonstrated on experimental data from a steel beam that was plastically bent to put in a known profile of residual stresses.
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References
Withers PJ (2007) Residual Stress and Its Role in Failure. Reports on Progress in Physics 70:2211–2264.
Prime MB (2001) Cross-Sectional Mapping of Residual Stresses by Measuring the Surface Contour after a Cut. Journal of Engineering Materials and Technology 123:162–168.
Prime MB, Sebring RJ, Edwards JM, Hughes DJ, Webster PJ (2004) Laser Surface-Contouring and Spline Data-Smoothing for Residual Stress Measurement. Experimental Mechanics 44:176–184.
Johnson G, (2008), "Residual Stress Measurements Using the Contour Method," Ph.D. Dissertation, University of Manchester.
DeWald AT, Rankin JE, Hill MR, Lee MJ, Chen HL (2004) Assessment of Tensile Residual Stress Mitigation in Alloy 22 Welds Due to Laser Peening. Journal of Engineering Materials and Technology 126:465–473.
Hatamleh O, Lyons J, Forman R (2007) Laser Peening and Shot Peening Effects on Fatigue Life and Surface Roughness of Friction Stir Welded 7075-T7351 Aluminum. Fatigue and Fracture of Engineering Material and Structures 30:115–130.
Hatamleh O (2008) Effects of Peening on Mechanical Properties in Friction Stir Welded 2195 Aluminum Alloy Joints. Materials Science and Engineering: A 492:168–176.
DeWald AT, Hill MR (2009) Eigenstrain Based Model for Prediction of Laser Peening Residual Stresses in Arbitrary 3D Bodies. Part 2: Model Verification. Journal of Strain Analysis for Engineering Design 44:13–27.
Liu KK, Hill MR (2009) The Effects of Laser Peening and Shot Peening on Fretting Fatigue in Ti-6Al-4V Coupons. Tribology International 42:1250–1262.
Hatamleh O, DeWald A (2009) An Investigation of the Peening Effects on the Residual Stresses in Friction Stir Welded 2195 and 7075 Aluminum Alloy Joints. Journal of Materials Processing Technology 209:4822–4829.
Woo W, Choo H, Prime MB, Feng Z, Clausen B (2008) Microstructure, Texture and Residual Stress in a Friction-Stir-Processed AZ31B Magnesium Alloy. Acta Mat. 56:1701–1711.
Prime MB, Gnaupel-Herold T, Baumann JA, Lederich RJ, Bowden DM, Sebring RJ (2006) Residual Stress Measurements in a Thick, Dissimilar Aluminum Alloy Friction Stir Weld. Acta Mat. 54:4013–4021.
Frankel P, Preuss M, Steuwer A, Withers PJ, Bray S (2009) Comparison of Residual Stresses in Ti6al4v and Ti6al2sn4zr2mo Linear Friction Welds. Materials Science and Technology 25:640–650.
Zhang Y, Pratihar S, Fitzpatrick ME, Edwards L (2005) Residual Stress Mapping in Welds Using the Contour Method. Materials Science Forum 490/491:294–299.
Edwards L, Smith M, Turski M, Fitzpatrick M, Bouchard P (2008) Advances in Residual Stress Modeling and Measurement for the Structural Integrity Assessment of Welded Thermal Power Plant. Advanced Materials Research 41–42:391–400.
Kartal M, Turski M, Johnson G, Fitzpatrick ME, Gungor S, Withers PJ, Edwards L (2006) Residual Stress Measurements in Single and Multi-Pass Groove Weld Specimens Using Neutron Diffraction and the Contour Method. Materials Science Forum 524/525:671–676.
Withers PJ, Turski M, Edwards L, Bouchard PJ, Buttle DJ (2008) Recent Advances in Residual Stress Measurement. The International Journal of Pressure Vessels and Piping 85:118–127.
Zhang Y, Ganguly S, Edwards L, Fitzpatrick ME (2004) Cross-Sectional Mapping of Residual Stresses in a VPPA Weld Using the Contour Method. Acta Mat. 52:5225–5232.
Thibault D, Bocher P, Thomas M (2009) Residual Stress and Microstructure in Welds of 13%Cr-4%Ni Martensitic Stainless Steel. Journal of Materials Processing Technology 209:2195–2202.
Hacini L, Van Lê N, Bocher P (2009) Evaluation of Residual Stresses Induced by Robotized Hammer Peening by the Contour Method. Experimental Mechanics 49:775–783.
Turski M, Edwards L (2009) Residual Stress Measurement of a 316L Stainless Steel Bead-on-Plate Specimen Utilising the Contour Method. International Journal of Pressure Vessels and Piping 86:126–131.
Kelleher J, Prime MB, Buttle D, Mummery PM, Webster PJ, Shackleton J, Withers PJ (2003) The Measurement of Residual Stress in Railway Rails by Diffraction and Other Methods. Journal of Neutron Research 11:187–193.
Evans A, Johnson G, King A, Withers PJ (2007) Characterization of Laser Peening Residual Stresses in Al 7075 by Synchrotron Diffraction and the Contour Method. Journal of Neutron Research 15:147–154.
Martineau RL, Prime MB, Duffey T (2004) Penetration of HSLA-100 Steel with Tungsten Carbide Spheres at Striking Velocities between 0.8 and 2.5 km/s. International Journal of Impact Engineering 30:505–520.
Holden TM, Suzuki H, Carr DG, Ripley MI, Clausen B (2006) Stress Measurements in Welds: Problem Areas. Materials Science and Engineering A 437:33–37.
Schajer GS (2001) "Residual Stresses: Measurement by Destructive Testing." Encyclopedia of Materials: Science and Technology, Elsevier, 8152–8158.
DeWald AT, Hill MR (2006) Multi-Axial Contour Method for Mapping Residual Stresses in Continuously Processed Bodies. Experimental Mechanics 46:473–490.
Pagliaro P, (2008), "Mapping Multiple Residual Stress Components Using the Contour Method and Superposition," Ph.D. Dissertation, Universitá degli Studi di Palermo, Palermo.
Pagliaro P, Prime MB, Swenson H, Zuccarello B (2010) Measuring Multiple Residual-Stress Components Using the Contour Method and Multiple Cuts. Experimental Mechanics 50:187–194.
Kartal ME, Liljedahl CDM, Gungor S, Edwards L, Fitzpatrick ME (2008) Determination of the Profile of the Complete Residual Stress Tensor in a VPPA Weld Using the Multi-Axial Contour Method. Acta Mat. 56:4417–4428.
Bueckner HF (1973) "Field Singularities and Related Integral Representations." Mechanics of Fracture G. C. Sih, ed., 239–314.
Cheng W, Finnie I, Gremaud M, Prime MB (1994) Measurement of near-Surface Residual-Stresses Using Electric-Discharge Wire Machining. Journal of Engineering Materials and Technology-Transactions of the ASME 116:1–7.
Shin SH (2005) FEM Analysis of Plasticity-Induced Error on Measurement of Welding Residual Stress by the Contour Method. Journal of Mechanical Science and Technology 19:1885–1890.
Dennis RJ, Bray, D.P., Leggatt, N.A., Turski, M. , (2008), "Assessment of the Influence of Plasticity and Constraint on Measured Residual Stresses Using the Contour Method." 2008 ASME Pressure Vessels and Piping Division Conference, Chicago, IL, USA, PVP2008-61490.
Abaqus 6.9, ABAQUS, inc., Pawtucket, RI, USA, 2009.
Mayville R, Finnie I (1982) Uniaxial Stress-Strain Curves from a Bending Test. Experimental Mechanics 22:197–201.
Schajer GS, Prime MB (2006) Use of Inverse Solutions for Residual Stress Measurements. Journal of Engineering Materials and Technology 128:375–382.
Cheng W, Finnie I (2007) Residual Stress Measurement and the Slitting Method, Springer Science+Business Media, LLC, New York, NY, USA.
Prime MB, Rangaswamy P, Daymond MR, Abeln TG, 1998, "Several Methods Applied to Measuring Residual Stress in a Known Specimen." Proc. 1998 SEM spring conference on experimental and applied mechanics, 1–3 Jun 1998, Society for Experimental Mechanics, Inc., 497–499.
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Prime, M.B., Kastengren, A.L. (2011). The Contour Method Cutting Assumption: Error Minimization and Correction. In: Proulx, T. (eds) Experimental and Applied Mechanics, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9792-0_40
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DOI: https://doi.org/10.1007/978-1-4419-9792-0_40
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