Abstract
The traditional contour method measures a cross-sectional map of residual stress by cutting a body carefully in two and measuring the surface contour. This talk will present two new advances, both motivated by the measurement of a single challenging part. The first advance is a two-step process for measuring hoop stresses in cylinders. In the first step, a cut is made to split the cylinder (from an “o” cross-section to a “c”). That cut releases a bending moment which would otherwise causes errors in the contour measurement. The amount the cylinder springs open or closed is measured and used to determine the bending moment stresses. In the second step, the traditional contour method is applied: a cut is made to measure the remaining hoop stresses on a cross section normal to the hoop direction. The total residual stresses are given by superimposing the bending stresses and the remaining stresses. In this paper, the two-step process is applied to measuring the stresses in a circumferential welded cylinder of depleted uranium and is compared to neutron diffraction results. The welded cylinder also contains a further measurement complication. The weld was only partial penetration, leaving part of the joint unwelded. The measured surface contour therefore had a discontinuity across the joint. Proper handling of the surface discontinuity is presented.
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References
Prime MB (2001) Cross-sectional mapping of residual stresses by measuring the surface contour after a cut. Journal of Engineering Materials and Technology 123 (2):162–168
Prime MB, Sebring RJ, Edwards JM, Hughes DJ, Webster PJ (2004) Laser surface-contouring and spline datasmoothing for residual stress measurement. Experimental Mechanics 44 (2):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 (4):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 (2):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 (1–2):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 (1):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 (9):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 (10):4822–4829
Woo W, Choo H, Prime MB, Feng Z, Clausen B (2008) Microstructure, texture and residual stress in a frictionstir-processed AZ31B magnesium alloy. Acta materialia 56 (8):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 Materialia 54 (15):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. doi:10.1179/174328408x332825
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 (3):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 Materialia 52 (17):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 (4):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 (6):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 (1):126–131
Thibault D, Bocher P, Thomas M, Gharghouri M, Côté M (2010) Residual stress characterization in low transformation temperature 13%Cr-4%Ni stainless steel weld by neutron diffraction and the contour method. Materials Science and Engineering: A 527 (23):6205–6210. doi:DOI: 10.1016/j.msea.2010.06.035
Dai H, Francis JA, Withers PJ (2010) Prediction of residual stress distributions for single weld beads deposited on to SA508 steel including phase transformation effects. Materials Science and Technology 26:940–949. doi:10.1179/026708309x12459430509454
Simoneau R, Thibault D, Fihey J-L (2009) A comparison of residual stress in hammer-peened, multi-pass steel welds – A514 (S690Q) and S4150. Welding in the World 53 (5/6):R124-R134
Richter-Trummer V, Tavares SMO, Moreira P, de Figueiredo MAV, de Castro P (2008) Residual stress measurement using the contour and the sectioning methods in a MIG weld: Effects on the stress intensity factor. Ciência & Tecnologia dos Materiais 20 (1–2):114–119
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 (2):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 (5):505–520
Wilson GS, Grandt Jr AF, Bucci RJ, Schultz RW (2009) Exploiting bulk residual stresses to improve fatigue crack growth performance of structures. International Journal of Fatigue 31 (8–9):1286–1299
DeWald AT, Hill MR (2006) Multi-axial contour method for mapping residual stresses in continuously processed bodies. Experimental Mechanics 46 (4):473–490
DeWald AT, Hill MR (2009) Eigenstrain based model for prediction of laser peening residual stresses in arbitrary 3D bodies. Part 1: model description. Journal of Strain Analysis for Engineering Design 44 (1):1–11
Murugan N, Narayanan R (2009) Finite element simulation of residual stresses and their measurement by contour method. Materials & Design 30 (6):2067–2071. doi:10.1016/j.matdes.2008.08.041
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 (4):187–193
Lillard RS, Kolman DG, Hill MA, Prime MB, Veirs DK, Worl LA, Zapp P (2008) Assessment of corrosion based failure in stainless steel containers used for the long-term storage of plutonium base salts. Corrosion 65 (3):175–186
Ismonov S, Daniewicz SR, Newman JJC, Hill MR, Urban MR (2009) Three Dimensional Finite Element Analysis of a Split-Sleeve Cold Expansion Process. Journal of Engineering Materials and Technology 131 (3):031007. doi:10.1115/1.3120392
Zhang Y, Fitzpatrick ME, Edwards L (2002) Measurement of the residual stresses around a cold expanded hole in an EN8 steel plate using the contour method. Materials Science Forum 404–407:527–532
Majumdar S (1999) Failure and leakage through circumferential cracks in steam generator tubing during accident conditions. International Journal of Pressure Vessels and Piping 76 (12):839–847
Wang X, Reinhardt W (2003) On the Assessment of Through-Wall Circumferential Cracks in Steam Generator Tubes With Tube Supports. Journal of Pressure Vessel Technology 125 (1):85–90
Bush SH (1992) Failure Mechanisms in Nuclear Power Plant Piping Systems. Journal of Pressure Vessel Technology 114 (4):389–395
Dong P, Brust FW (2000) Welding Residual Stresses and Effects on Fracture in Pressure Vessel and Piping Components: A Millennium Review and Beyond. Journal of Pressure Vessel Technology 122 (3):329–338
Bouchard PJ (2007) Validated residual stress profiles for fracture assessments of stainless steel pipe girth welds. International Journal of Pressure Vessels and Piping 84 (4):195–222
Withers PJ, Preuss M, Steuwer A, Pang JWL (2007) Methods for obtaining the strain-free lattice parameter when using diffraction to determine residual stress. Journal of Applied Crystallography 40 (5):891–904
Krawitz A (1994) Use of position-dependent stress-free standards for diffraction stress measurements. Materials Science and Engineering A 185 (1–2):123–130
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
Smith DJ, Bouchard PJ, George D (2000) Measurement and prediction of residual stresses in thick-section steel welds. Journal of Strain Analysis for Engineering Design 35 (4):287–305
de Swardt RR (2003) Finite element simulation of crack compliance experiments to measure residual stresses in thick-walled cylinders. Journal of Pressure Vessel Technology 125 (3):305–308
Brown DW, Holden TM, Clausen B, Prime MB, Sisneros TA, Swenson H, Vaja J (2011) Critical Comparison of Two Independent Measurements of Residual Stress in an Electron-Beam Welded Uranium Cylinder: Neutron Diffraction and the Contour Method. Acta Materialia 59 (3):864–873. doi:10.1016/j.actamat.2010.09.022
Pagliaro P, Prime MB, Robinson JS, Clausen B, Swenson H, Steinzig M, Zuccarello B (2010) Measuring Inaccessible Residual Stresses Using Multiple Methods and Superposition. Experimental Mechanics. doi:10.1007/s11340-010-9424-5
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):1–7
Prime MB, Kastengren AL (2009) The Contour Method Cutting Assumption: Error Minimization and Correction. In: SEM Conference & Exposition on Experimental & Applied Mechanics, Indianapolis, IN USA, 2010. Society for Experimental Mechanics, Inc.
Webster GA, Ezeilo AN (2001) Residual stress distributions and their influence on fatigue lifetimes. International Journal of Fatigue 23 (SUPPL. 1):S375-S383
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 (10):1885–1890
Dennis RJ, Bray, D.P., Leggatt, N.A., Turski, M. Assessment of the influence of plasticity and constraint on measured residual stresses using the contour method. In: 2008 ASME Pressure Vessels and Piping Division Conference, Chicago, IL, USA, 2008. ASME, pp PVP2008-61490
Pagliaro P, Prime MB, Clausen B, Lovato ML, Zuccarello B (2009) Known Residual Stress Specimens Using Opposed Indentation. Journal of Engineering Materials and Technology 131:031002
Pagliaro P, Prime MB, Swenson H, Zuccarello B (2010) Measuring Multiple Residual-Stress Components Using the Contour Method and Multiple Cuts. Experimental Mechanics 50 (2):187–194. doi:10.1007/s11340-009-9280-3
Zhang Y, Ganguly S, Stelmukh V, Fitzpatrick ME, Edwards L (2003) Validation of the Contour Method of Residual Stress Measurement in a MIG 2024 Weld by Neutron and Synchrotron X-ray Diffraction. Journal of Neutron Research 11 (4):181–185
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 Materialia 56 (16):4417–4428
Smith MC, Smith AC (2009) NeT bead-on-plate round robin: Comparison of residual stress predictions and measurements. International Journal of Pressure Vessels and Piping 86 (1):79–95
Bouchard PJ (2009) The NeT bead-on-plate benchmark for weld residual stress simulation. International Journal of Pressure Vessels and Piping 86 (1):31–42. doi:DOI: 10.1016/j.ijpvp.2008.11.019
Wimpory RC, Ohms C, Hofmann M, Schneider R, Youtsos AG (2009) Statistical analysis of residual stress determinations using neutron diffraction. International Journal of Pressure Vessels and Piping 86 (1):48–62. doi:DOI: 10.1016/j.ijpvp.2008.11.003
Withers PJ, Webster PJ (2001) Neutron and Synchrotron X-ray Strain Scanning. Strain 37 (1):19–33. doi:10.1111/j.1475-1305.2001.tb01216.x
Hughes DJ, Webster PJ, Mills G (2002) Ferritic steel welds - A neutron diffraction standard. Materials Science Forum 404–407:561–566
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Prime, M.B. (2011). Contour Method Advanced Applications: Hoop Stresses in Cylinders and Discontinuities. In: Proulx, T. (eds) Engineering Applications of Residual Stress, Volume 8. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0225-1_2
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DOI: https://doi.org/10.1007/978-1-4614-0225-1_2
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