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TECHNICAL PAPERS

Investigation Into Cumulative Damage Rules to Predict Fretting Fatigue Life of Ti-6Al-4V Under Two-Level Block Loading Condition

[+] Author and Article Information
O. Jin, H. Lee

Department of Aeronautics and Astronautics, Air Force Institute of Technology, Wright-Patterson AFB, OH 45433-7765, USA

S. Mall

Materials and Manufacturing Directorate (AFRL/MLLMN), Air Force Research Laboratory, Wright-Patterson AFB, OH 45433-7817, USA

J. Eng. Mater. Technol 125(3), 315-323 (Jul 10, 2003) (9 pages) doi:10.1115/1.1590998 History: Received December 30, 2002; Revised April 15, 2003; Online July 10, 2003
Copyright © 2003 by ASME
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References

Nicholas,  T., 1999, “Critical Issues in High Cycle Fatigue,” Int. J. Fatigue, 21, pp. S221–S231.
Vingsbo,  O., and Soderberg,  S., 1988, “On Fretting Maps,” Wear, 126, pp. 131–147.
Jin,  O., and Mall,  S., 2002, “Effect of Independent Pad Displacement on Fretting Fatigue Behavior of Ti-6Al-4V,” Wear, 253, pp. 585–596.
Jin,  O., and Mall,  S., 2002, “Influence of Contact Configuration on Fretting Fatigue Behavior of Ti-6Al-4V Under Independent Pad Displacement Condition,” Int. J. Fatigue, 24, pp. 1243–1253.
Namjoshi,  S., Mall,  S., Jain,  V. K., and Jin,  O., 2002, “Fretting Fatigue Crack Initiation Mechanisms in Ti-6Al-4V,” Fatigue Fract. Eng. Mater. Struct., 25, pp. 955–964.
Lykins,  C. D., Mall,  S., and Jain,  V. K., 2001, “Combined Experimental-Numerical Investigation of Fatigue Crack Initiation,” Int. J. Fatigue, 23(8), pp. 703–711.
Szolwinski,  M., and Farris,  T., 1996, “Mechanics of Fretting Fatigue Crack Formation,” Wear, 198, pp. 93–107.
Anton, D. L., Lutian, M. J., Favrow, L. H., Logan, D., and Annigeri, B. S., 2000, “The Effects of Contact Stress and Slip Distance on Fretting Fatigue Damage,” in Fretting Fatigue: Current Technology and Practices, D. W. Hoeppner, V. Chandrasekran, and C. B. Elliott, eds., ASTM STP 1367, American Society for Testing and Materials, West Conshohocken, pp. 119–140.
Matikas,  T. E., and Nicolaou,  P. D., 2001, “Development of a Model for the Prediction of the Fretting Fatigue Regimes,” J. Mater. Res., 16(9), pp. 2716–2723.
Iyer,  K., and Mall,  S., 2001, “Analyses of Contact Pressure and Stress Amplitude Effects on Fretting Fatigue Life,” J. Eng. Mater. Technol., 123, pp. 85–93.
Venkatesh,  T. A., Conner,  B. P., Lee,  C. S., Giannakopoulos,  A. E., Lindley,  T. C., and Suresh,  S., 2001, “An Experimental Investigation of Fretting Fatigue in Ti-6Al-4V: the Role of Contact Conditions and Microstructure,” Metall. Mater. Trans. A, 32, pp. 1131–1146.
Lykins,  C. D., Mall,  S., and Jain,  V. K., 2001, “A Shear Based Parameter for Fretting Fatigue Crack Initiation,” Fatigue Fract. Eng. Mater. Struct., 24, pp. 461–473.
Cortez, R., Mall, S., and Calcaterra, J. R., 2000, “Interaction of High Cycle and Low Cycle Fatigue on Fretting Behavior of Ti-6Al-4V,” in Fretting Fatigue: Current Technologies and Practices, ASTM STP 1367, D. W. Hoeppner, V. Chandrasekaran, and C. B. Elliot, eds., American Society for Testing and Materials, West Conshohocken, pp. 183–198.
Iyer,  K., and Mall,  S., 2000, “Effects of Cyclic Frequency and Contact Pressure on Fretting Fatigue Under Two-level Block Loading,” Fatigue Fract. Eng. Mater. Struct., 23, pp. 335–346.
Namjoshi,  S., and Mall,  S., 2001, “Fretting Behavior of Ti-6Al-4V Under Combined High Cycle and Low Cycle Fatigue Loading,” Int. J. Fatigue, 23, pp. S455–S461.
Miner,  M. A., 1945, “Cumulative Damage in Fatigue,” ASME J. Appl. Mech., 12, pp. 159–164.
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Manson,  S. S., and Halford,  G. R., 1981, “Practical Implementation of the Double Linear Damage Rule and Damage Curve Approach for Treating Cumulative Fatigue Damage,” Int. J. Fatigue, 17, pp. 169–192.
Manson,  S. S., and Halford,  G. R., 1986, “Re-examination of Cumulative Fatigue Damage Analysis-An Engineering Perspective,” Eng. Fract. Mech., 25, pp. 539–571.
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Figures

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Microstructure of Ti-6Al-4V
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Schematic drawing of (a) specimen; and (b) pad.
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Schematic drawing of fretting fatigue setup used in the present study
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Schematic drawing of various two-level block loading profiles for (a) Hi-Lo loading; (b) Lo-Hi loading; and (c) repeated block loading.
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Plot of stress versus failure lives at P=3567 N using nominal stress range and effective stress
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Experimental results and predicted damage fractions using linear (LDR) and nonlinear damage rules (NLDR), damage curve analysis (DCA) and double linear damage rule (DLDR)
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Plot of damage fractions (n2/Nf,2) at lower stress amplitude versus those (n1/Nf,1) at higher stress amplitude for the data obtained from Refs. 121314 and the present work and also predictions from NLDR and DLDR
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Plot of predicted failure lives using LDR, DCA, and DLDR for various repeated two-level block loading
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Comparison of S-N curve between constant and variable amplitude loading at (a) P=1334 N; and (b) P=3567 N.
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Fracture surface of specimens subject to Hi-Lo loading after (a) n1=47,300 cycles; and (b) n1=62,000 cycles.
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Fracture surface of the specimen tested at Lo-Hi loading
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Fractured surface of specimen exposed to a repeated two-level loading n1=3000 and n2=3000 cycles. (a) overall fractured surface. Arrows indicate crack initiation sites, and o and x shows inside band and between bands; (b) region inside band; and (c) region between two bands.  

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