Extension of the layer removal technique for the measurement of residual stresses in layered anisotropic cylinders
Source abstract
Abstract
An extension of the layer removal technique is presented that allows the residual stresses within multilayered anisotropic pipes of any wall thickness to be determined. The method inherently satisfies the self-equilibrium requirement and limits the effects of measurement errors to the region local to the error. The thickness of each layer that is removed need not be uniform and is entirely independent of the thickness of each ply of material. Four example problems are considered. The first three allow results to be compared between the present method and previous work. The fourth problem demonstrates the method on a thick walled anisotropic pipe built up of +45°/-45° plies for which no solution was previously available.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Welding Techniques and Residual Stresses · Fatigue and fracture mechanics · Advanced machining processes and optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (35)
Show source-provided references
1. Akbari, S., Taheri-Behrooz, F., Shokrieh, M. M.: Slitting Measurement of Residual Hoop Stresses Through the Wall-Thickness of a Filament Wound Composite Ring. Experimental Mechanics, pages 1–10, 201310.1007/s11340-013-9768-8 ↗
2. Bateman, M.G., Miller, O.H., Palmer, T.J., Breen, C.E.P., Kingston, E.J., Smith, D.J., Pavier, M.J.: Measurement of residual stress in thick section composite laminates using the deep-hole method. Int. J. Mech. Sci. 47(11), 1718–1739 (2005)10.1016/j.ijmecsci.2005.06.011 ↗
3. Botros, B.M.: Residual stresses in cold ironed tubes. Int. J. Mech. Sci. 2(3), 195–205 (1960)10.1016/0020-7403(60)90004-7 ↗
4. Chen, J., Terasaki, T., Akiyama, T., Kishitake, K.: New concept of equivalent inherent strain for measuring axisymmetric residual stresses. J. Manuf. Sci. Eng. Trans. ASME 122(2), 304–309 (2000)10.1115/1.538919 ↗
5. DeWald, A.T., Hill, M.R.: Measurement of bulk residual stress distributions in thick-section components using the contour method. In Conference Proceedings of the Society for Experimental Mechanics Series, volume 8, pages 29–31, 201110.1007/978-1-4614-0225-1_3 ↗
6. Ersoy, N., Vardar, O.: Measurement of residual stresses in layered composites by compliance method. J. Compos. Mater. 34(7), 575–598 (2000)10.1177/002199830003400703 ↗
7. Flaman, M.T., Manning, B.H.: Determination of residual-stress variation with depth by the hole-drilling method. Exp. Mech. 25(3), 205–207 (1985)10.1007/BF02325088 ↗
8. Gong, H., Wu, Y., Liao, K.: Research on residual stress measurement technology of aluminum alloy plate based on modified layer removal method. In 1st International Conference on Information Science and Engineering, ICISE, pages 3839–3842, 200910.1109/ICISE.2009.987 ↗
9. Haigh, R.D., Hutchings, M.T., James, J.A., Ganguly, S., Mizuno, R., Ogawa, K., Okido, S., Paradowska, A.M., Fitzpatrick, M.E.: Neutron diffraction residual stress measurements on girth-welded 304 stainless steel pipes with weld metal deposited up to half and full pipe wall thickness. Int. J. Press. Vessel. Pip. 101, 1–11 (2013)10.1016/j.ijpvp.2012.08.003 ↗
10. Herakovich, C.T.: Mechanics of Fibrous Composites. Wiley, New Jersey (1998)
11. Kim, J.W., Lee, D.G.: Measurement of residual stresses in thick composite cylinders by the radial-cut-cylinder-bending method. Composite Structures, 77(4), 444–456 (2007)10.1016/j.compstruct.2005.07.020 ↗
12. Lekhniitski, S.G.: Theory of Elasticity of an Anisotropic Elastic Body. Holden-Day, Inc., San Francisco (1963)
13. Lekhnitskii, S.G.: Anisotropic plates, 2nd edn. Gordon and Breach, New York (1968)
14. Mack, D.R.: Measurement of residual stress in disks from turbine-rotor forgings—Investigation reveals that both the sachs turning-down method and the concentric-ring method provide reliable measurements of tangential residual stress in a steel disk at the bore hole. Exp. Mech. 2(5), 155–158 (1962)10.1007/BF02325761 ↗
15. Meisner, L.L., Lotkov, A.I., Ostapenko, M.G., Gudimova, E.Y.: X-ray diffraction study of residual elastic stress and microstructure of near-surface layers in nickel-titanium alloy irradiated with low-energy high-current electron beams. Appl. Surf. Sci. 280, 398–404 (2013)10.1016/j.apsusc.2013.04.168 ↗
16. Olson, W.A., Bert, C.W.: Analysis of residual stresses in bars and tubes of cylindrically orthotropic materials.Paper presents equations for calculating residual stresses from surface-strain data measured after successive borings in a bar or tube made of a cylindrically orthotropic material. Exp. Mech. 6(9), 451–457 (1966)
17. Orgill, G., Wilson, J.F.: Finite deformations of nonlinear, orthotropic cylindrical shells. J. Appl. Mech. Trans. ASME 53(2), 257–265 (1986)10.1115/1.3171749 ↗
18. Pagano, N.J.: Stress Gradients in Laminated Composite Cylinders. J. Compos. Mater. 5, 257–265 (1971)
19. Pagliaro, P., Prime, M.B., Swenson, H., Zuccarello, B.: Measuring multiple residual-stress components using the Contour method and multiple cuts. Exp. Mech. 50(2), 187–194 (2010)10.1007/s11340-009-9280-3 ↗
20. Prime, M.B.: Residual stress measurement by successive extension of a slot: The crack compliance method. Appl. Mech. Rev. 52(2), 75–96 (1999)10.1115/1.3098926 ↗
21. Prime, M.B.: Measuring residual stress and the resulting stress intensity factor in compact tension specimens. Fatigue Fract. Eng. Mater. Struct. 22(3), 195–204 (1999)10.1046/j.1460-2695.1999.00155.x ↗
22. Prime, M.B., Hill, M.R.: Measurement of fiber-scale residual stress variation in a metal-matrix composite. J Compos Mater 38(23), 2079–2095 (2004)10.1177/0021998304045584 ↗
23. Rasty, J., Le, X., Baydogan, M., Cárdenas-García, J.F.: Measurement of residual stresses in nuclear-grade Zircaloy-4(R) tubes—Effect of heat treatment. Exp. Mech. 47(2), 185–199 (2007)10.1007/s11340-006-9009-5 ↗
24. Reissner, E.: On axially uniform stress and strain in axially homogeneous cylindrical shells. Int. J. Solids Struct. 6(1), 133–138 (1970)10.1016/0020-7683(70)90085-5 ↗
25. Reissner, E., Tsai, W.T.: Pure bending, stretching, and twisting of anisotropic cylindrical shells. J. Appl. Mech. 4, 168–174 (1974)10.1115/1.3423217 ↗
26. Sachs, G.: The determination of residual stresses in rods and tubes. Zeitschrift für Metallkinde, 19, 352–357 (1927)
27. Scherrer, R.E.: Filament-wound cylinders with axial-symmetric loads. J. Compos. Mater. 1, 344–355 (1967)10.1177/002199836700100403 ↗
28. Seif, M.A., Short, S.R.: Determination of residual stresses in thin-walled composite cylinders. Exp. Tech. 26(2), 43–46 (2002)10.1111/j.1747-1567.2002.tb00062.x ↗
29. Seif, M.A., Khashaba, U.A., Rojas-oviedo, R.: Residual stress measurements in CFRE and GFRE composite missile shells. Compos. Struct. 79(2), 261–269 (2007)10.1016/j.compstruct.2006.01.002 ↗
30. Shokrieh, M.M., Akbari, S., Daneshvar, A.: A comparison between the slitting method and the classical lamination theory in determination of macro-residual stresses in laminated composites. Compos. Struct. 96, 708–715 (2013)10.1016/j.compstruct.2012.10.001 ↗
31. Sicot, O., Gong, X.L., Cherouat, A., Lu, J.: Influence of experimental parameters on determination of residual stress using the incremental hole-drilling method. Compos. Sci. Technol. 64(2), 171–180 (2004)10.1016/S0266-3538(03)00278-1 ↗
32. Stacey, A., Webster, G.A.: Determination of residual stress distributions in autofrettaged tubing. Int. J. Press. Vessel. Pip. 31(3), 205–220 (1988)10.1016/0308-0161(88)90003-8 ↗
33. Voyiadjis, G.Z., Kiousis, P.D., Hartley, C.S.: Analysis of residual stresses in cylindrically anisotropic materials. Exp. Mech. 25(2), 145–147 (1985)10.1007/BF02328804 ↗
34. Voyiadjis, G.Z., Hartley, C.S.: Residual-stress determination of concentric layers of cylindrically orthotropic materials. Exp. Mech. 27(3), 290–297 (1987)10.1007/BF02318095 ↗
35. Yang, F., Wang, Y., Jiang, J.: Residual stress profile in high carbon rods measured by layer removal technique. Mater. Sci. Technol. 18(4), 579–583 (2010)