The crack compliance, or slitting, method was used to measure a localized depth profile of residual stresses in a metal-matrix composite. The composite consisted of a matrix of Kanthal, a Fe–Cr–Al refractory alloy, reinforced with continuous uniaxial tungsten fibers. The stress measurements involved successively deepening a narrow slit between the fibers in the matrix, and measuring the resulting deformations with a surface strain gage. The depth profile of the in-plane residual stress components was determined from the measured strains using an eigenstrain-based extension of the residual stress calculation scheme normally used for slitting measurements. To validate some of the eigenstrain assumptions, the measured residual stresses were compared with the predictions from a thermomechanical finite element model. The model used a mesh of the actual fiber arrangement in the composite specimen rather than the commonly used unit-cell model. Compared to other techniques for measuring residual stresses in composites, the slitting measurements provided spatial resolution to a small fraction of the fiber diameter, which is useful when validating a thermomechanical model. Coincidentally, this is the first reported slitting method measurements of shear residual stresses.
1. Warrier, S.G., Rangaswamy, P., Bourke, M.A.M. and Krishnamurthy, S. (1999). Assessment of the Fiber/Matrix Interface Bond Strength in Sic/Ti-6Al-4V Composites, Materials Science and Engineering, A259(2): 220–227.
2.
2. Liu, H.Y., Zhang, X., Mai, Y.W. and Diao, X.X. (1999). On Steady-State Fibre Pull-Out – II – Computer Simulation, Composite Science and Technology, 59(15): 2191–2199.
3.
3. Nath, R.B., Fenner, D.N. and Galiotis, C. (2000). The Progressional Approach to Interfacial Failure in Carbon Reinforced Composites: Elasto-plastic Finite Element Modelling of Interface Cracks, Composites Part A, 31(9): 929–943.
4.
4. Deve, H.E. and Maloney, M.J. (1991). On the Toughening of Intermetallics with Ductile Fibers – Role of Interfaces, Acta Metallurgica et Materialia, 39(10), 2275–2284.
5.
5. Nakamura, T. and Suresh, S. (1993). Effects of Thermal Residual-Stresses and Fiber Packing on Deformation of Metal-Matrix Composites, Acta Metallurgica et Materialia, 41(6): 1665–1681.
6.
6. Zheng, M.H. (2000). Strength Formulae of Unidirectional Composites Including Thermal Residual Stresses, Materials Letters, 43(1–2): 36–42.
7.
7. Jain, L.K. and Mai, Y.W. (1996). On Residual Stress Induced Distortions during Fabrication of Composite Shells, Journal of Reinforced Plastics and Composites, 15(8): 793–805.
8.
8. Rangaswamy, P., Prime, M.B., Daymond, M., Bourke, M.A.M., Clausen, B., Choo, H. and Jayaraman, N. (1999). Comparison of Residual Strains Measured by X-Ray and Neutron Diffraction in a Titanium (Ti-6Al-4V) Matrix Composite, Materials Science and Engineering A, 259(2): 209–219.
9.
9. Manson, J.A.E. and Seferis, J.C. (1992). Process Simulated Laminate (PSL): A Methodology to Internal-Stress Characterization in Advanced Composite-Materials, Journal of Composite Materials, 26(3): 405–431.
10.
10. Ifju, P.G., Kilday, B.C., Niu, X.K. and Liu, S.C. (1999). A Novel Method to Measure Residual Stresses in Laminated Composites, Journal of Composite Materials, 33(16): 1511–1524.
11.
11. Withers, P.J. and Bhadeshia, H.K.D.H. (2001). Residual Stress Part 2: Nature and Origins, Materials Science and Technology, 17(4): 366–375.
12.
12. Kuntz, T.A., Wadley, H.N.G. and Black, D.R. (1993). Residual Strain Gradient Determination in Metal-Matrix Composites by Synchrotron X-Ray-Energy Dispersive Diffraction, Metallurgical Transactions A, 24(5): 1117–1124.
13.
13. Korsunsky, A.M. and Wells, K.E. (2000). High Energy Synchrotron X-ray Measurements of 2D Residual Stress States in Metal Matrix Composites, Materials Science Forum, 321: 218–223.
14.
14. Hermann, R. (1995). Crack Growth and Residual Stress in Al-Li Metal Matrix Composites Under Far-Field Cyclic Compression, Journal of Materials Science, 30(15): 3782–3790.
15.
15. Hill, M.R. and Lin, W.Y. (2002). Residual Stress Measurement in a Ceramic-Metallic Graded Material, Journal of Engineering Materials and Technology, 124(2): 185–191.
16.
16. Ersoy, N. and Vardar, O. (2000). Measurement of Residual Stresses in Layered Composites by Compliance Method, Journal of Composite Materials, 34(7): 575–598.
17.
17. Kim, B.S., Bernet, N., Sunderland, P. and Manson, J.A. (2002). Numerical Analysis of the Dimensional Stability of Thermoplastic Composites Using a Thermoviscoelastic Approach, Journal of Composite Materials, 36(20): 2389–2403.
18.
18. Gungor, S. (2002). Residual Stress Measurements in Fibre Reinforced Titanium Alloy Composites, Acta Materialia, 50(8): 2053–2073.
19.
19. Titran, R.H. and Grobstein, T.L. (1990). Advanced Refractory Metals and Composites for Extraterrestrial Power Systems, Journal of Metals, 42(8): 8–10.
20.
20. Saigal, A. and Leisk, G.G. (1997). Residual Strains and Stresses in Tungsten/Kanthal Composites, Materials Science and Engineering, A237(1): 65–71.
21.
21. Klopp, W.D., Witzke W.R. and Raffo, P.L. (1965). Effects of Grain Size on Tensile and Creep Properties of Arc-Melted and Electron-Beam-Melted Tungsten at 2250° to 4140°F, Transactions of the Metallurgical Society of AIME, 233(10): 1860–1866.
22.
22. Prime, M.B. (1999). Residual Stress Measurement by Successive Extension of a Slot: The Crack Compliance Method, Appl. Mech. Rev., 52(2): 75–96.
23.
23. Cheng, W., Finnie, I., Gremaud, M., Rosselet, A. and Streit, R.D. (1994). The Compliance Method for Measurement of Near Surface Residual Stresses – Application and Validation for Surface Treatment by Laser and Shot-Peening, Journal of Engineering Materials and Technology, 116(4): 556–560.
24.
24. Rankin, J.E., Hill, M.R. and Hackel, L.A. (2003). The Effects of Process Variations on Residual Stress in Laser Peened 7049 T73 Aluminum Alloy, Materials Science and Engineering A, A349(1–2): 279–291.
25.
25. Cheng, W., Finnie, I., Gremaud, M. and Prime, M.B. (1994). Measurement of Near Surface Residual Stresses Using Electric Discharge Wire Machining, Journal of Engineering Materials and Technology, 116(1): 1–7.
26.
26. Schajer, G.S. (1981). Application of Finite-Element Calculations to Residual-Stress Measurements, Journal of Engineering Materials and Technology, 103(2): 157–163.
27.
27. Ueda, Y. and Fukuda, K. (1989). New Measuring Method of Three-Dimensional Residual Stresses in Long Welded Joints Using Inherent Strains as Parameters-Lz Method, Journal of Engineering Materials and Technology, 111(1): 1–8.
28.
28. Hill, M.R. (1996). Determination of Residual Stress Based on the Estimation of Eigenstrain, PhD Dissertation, Stanford University.
29.
29. Hill, M.R. and Nelson, D.V. (1998). The Localized Eigenstrain Method for Determination of Triaxial Residual Stress in Welds, PVP, Vol. 373, pp. 397–403, ASME, New York.
30.
30. Mura, T. (1991). Micromechanics of Defects in Solids, Kluwer Academic Publishers, Boston, MA.
31.
31. Cheng, W. (2000). Measurement of the Axial Residual Stresses Using the Initial Strain Approach, Journal of Engineering Materials and Technology, 122(1): 135–140.
32.
32. Cheng, W., Finnie, I. and Ritchie, R. (2001). Residual Stress Measurement on a Pyrolytic Carbon-Coated Graphite Leaflet, In: Proc. 2001 SEM Annual Conference on Experimental and Applied Mechanics, June 4–6, Portland, Oregon, pp. 604–607.
33.
33. ABAQUS/Standard User’s Manual Version 6.2. Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, Rhode Island, USA (2001).
34.
34. Schajer, G.S. (1993). Use of Displacement Data to Calculate Strain Gauge Response in Non-Uniform Strain Fields, Strain, 29(1): 9–13.
35.
35. Nowell, D.J. (1999). Strain Changes Caused by Finite Width Slots, with Particular Reference to Residual Stress Measurement, Journal of Strain Analysis for Engineering Design, 34(4): 285–294.
36.
36. Cheng, W. and Finnie, I. (1993). A Comparison of the Strains due to Edge Cracks and Cuts of Finite Width with Applications to Residual-Stress Measurement, Journal of Engineering Materials and Technology, 115(2): 220–226.
37.
37. Rangaswamy, P., Beyerlein, I.J., Bourke, M.A.M., Prime, M.B., Saigal, A.K. and Williams, T.O. (2003). Residual Stresses in Continuous-Tungsten-Fiber-Reinforced Kanthal-Matrix Composites, Philosophical Magazine, 83(19): 2267–2292.
38.
38. Kroupa, J.L. and Neu, R.W. (1994). The Nonisothermal Viscoplastic Behavior of a Titanium-Matrix Composite, Composites Engineering, 4(9): 965–977.
39.
39. Choo, H., Bourke, M.A.M. and Daymond, M.R. (2001). A Finite-Element Analysis of the Inelastic Relaxation of Thermal Residual Stress in Continuous-Fiber-Reinforced Composites, Composites Science and Technology, 61(12): 1757–1772.
40.
40. Kang, K.J., Yao, N., He, M.Y. and Evans, A.G. (2003). A Method for in situ Measurement of the Residual Stress in Thin Films by Using the Focused Ion Beam, Thin Solid Films, 443(1–2):71–77.
