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TECHNICAL PAPERS

Probabilistic Growth of Complex Fatigue Crack Shapes: Toward Risk Based Inspection Intervals for Railroad Tank Cars

[+] Author and Article Information
William T. Riddell

Structures and Dynamics Division, DTS-76, Volpe National Transportation Systems Center, 55 Broadway, Cambridge, MA 02142e-mail: Riddell@volpe.dot.gov

J. Mech. Des 123(4), 622-629 (Dec 01, 2000) (8 pages) doi:10.1115/1.1413470 History: Received December 01, 2000
Copyright © 2001 by ASME
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References

Damage Tolerance and Fatigue Evaluation of Structure, 1978, Federal Aviation Administration, AC 25.571-1.
Ehret,  R. M., 1980, “Material Control and Fracture Control Planning for the Space Shuttle Orbiter Program,” J. Eng. Mater. Technol., 102, pp. 40–44.
Rolfe,  S. T., 1980, “Structural Integrity in Merchant Ships,” J. Eng. Mater. Technol., 102, pp. 15–19.
Damage Tolerance Assessment Handbook, Volumes I and II, 1993, U.S. Department of Transportation Report, DOT/FFA/CT-93/69.I-II, DOT-VNTSC-FAA-93-13.I-II.
Li, V., 1997, “Probability-Based Cost Effective Inspection Frequencies for Aging Transport Structures,” Proceedings of the FAA-NASA Symposium on the Continued Airworthiness of Aircraft Structures, Aug. 28–30, 1996, DOT/FAA/AR-97, pp. 543–554.
Tang, Y. H., Perlman, A. B., and Orringer, O., 1995, Simulation Model for Risk/Benefit Evaluation of Rail Inspection Program, U.S. Department of Transportation/Federal Railraod Administration, DOT/FRA/ORD-95, DOT-VNTSC-FRA-95/6.
Garic,  G., 1995, “Cumulative Detection Probability as a Basis for Pressure Vessel Inspection Intervals,” J. Pressure Vessel Technol., 11, pp. 339–403.
Virkler,  D. A., Hillberry,  B. M., and Goel,  P. K., 1979, “The Statistical Nature of Fatigue Crack Propagation,” J. Eng. Mater. Technol., 101, pp. 148–153.
Kimura,  Y., and Kunio,  T., 1987, “On the Statistical Characteristics of Fatigue Crack Propagation,” Eng. Fract. Mech., 28, No. 5/6, pp. 795–803.
Sobczyk,  K., and Trebicki,  J., 1989, “Modelling of Random Fatigue by Cumulative Jump Processes,” Eng. Fract. Mech., 34, No. 2, pp. 477–493.
Gansted,  L., Brincker,  R., and Hansen,  L. P., 1991, “Fracture Mechanical Markov Chain Crack Growth Model,” Eng. Fract. Mech., 38, No. 6, pp. 475–498.
Inspection and Testing of Railroad Tank Cars, 1992, NTSB/SIR-92/05, National Transportation Safety Board, Washington, D.C.
Miele, C. R., and Rice, R. C., 1994, Stress Analysis of Stub Sill Tank Cars, U.S. Department of Transportation, Research and Special Programs Administration, Working Paper DOT-VNTSC-RR428-WP-94-10.
Benac, D. J., McKeighan, P. C., and Cardinal, J. W., 1998, Fractographic Analysis of Cracks Generated During a Full-Scale Railroad Tank Car Fatigue Test, Southwest Research Institute Final Report SwRI Project 06-8840, prepared for Transportation Technology Center, Inc.
Fatigue Crack Growth Computer Program NASA/FLAGRO Version 2.0, 1994, Lyndon B. Johnson Space Center, NASA, JSC-22267A, Houston.
Forman, R. G., Shivakumar, V., Newman, J. C., Jr., Piotrowski, S. M., and Williams, L. C., 1988, “Development of the NASA/FLAGRO Computer Program,” Fracture Mechanics: Eighteenth Symposium, ASTM STP 945, D. T. Read, R. P. Reed, eds., American Society for Testing and Materials, Philadelphia, pp. 781–803.
Riddell,  W. T., Ingraffea,  A. R., and Wawrzynek,  P. A., 1997, “Experimental Observations and Numerical Predictions of Three-Dimensional Fatigue Crack Propagation,” Eng. Fract. Mech., 58, No. 4, pp. 293–310.
Favenesi, J., Clemmons, T., Riddell, W., Wawrzynek, P., Stallworth, R., and Denniston, C., 1994, “Verification and Validation of Quarter Elliptical and Semi-Elliptical Crack Solutions in NASCRAC™,” in Advanced Earth-to-Orbit Propulsion Technology—1994, Richmond and Wu, eds., NASA Conference Publication 3282, pp. 268–276.
Bush, R. W., Donald, J. K., and Bucci, R. J., 2000, “Pitfalls to Avoid in Threshold Testing and Its Interpretation,” Fatigue Crack Growth Thresholds, Endurance Limits, and Design, ASTM STP 1372, J. C. Newman and R. S. Piascik, eds., American Society for Testing and Materials, West Conshocken, PA, pp. 269–284.
Norris, J. R., 1997, Markov Chains, Cambridge University Press, Cambridge.
Newman, J. C., Jr. 1992, “Fracture Mechanics Parameters for Small Cracks,” Small Crack Test Methods, ASTM STP 1149, J. Larson and J. E. Allison, eds., American Society for Testing and Materials, Philadelphia, pp. 6–33.
ASTM Standard E312, Standard Method for Plane Strain Fracture Toughness, 1999, American Society for Testing and Materials, West Conshohocken.
ASTM Standard E647 Standard Method for Fatigue Crack Growth Rate Testing, 1999, American Society for Testing and Materials, West Conshohocken.
Paris,  P. C., Gomez,  M. P., and Anderson,  W. E., 1961, “A Rational Analytical Theory of Fatigue,” The Trend in Engineering,13, pp. 9–14.
Wawrzynek, P. A., Martha, L. F., and Ingraffea, A. R., 1988, “A Computational Environment for the Simulation of Fracture Processes in Three Dimensions,” Analytical, Numerical and Experimental Aspects of Three Dimensional Fracture Processes, A. J. Rosakis, et al., eds., ASME AMD-Vol. 91. ASME, New York, pp. 321–327.
Lutz, E., Gray, L., and Ingraffea, A. R., 1990, “Indirect Evaluation of the Surface Stress in the Boundary Element Method,” Proceedings of the IABEM-90: Symposium of the International Association for Boundary Element Methods.
Lutz, E., 1991, “Numerical Methods for Hypersingular and Near-Singular Boundary Integrals in Fracture Mechanics,” Ph.D. Thesis, Cornell University.
Hudson, C. M., 1969, “Effect of Stress Ratio of Fatigue-Crack Growth in 7075-T6 and 2024-T3 Aluminum Alloy Specimens,” NASA TN D-5390, Langley Research Center, Hampton, VA.
Newman, J. C., Jr., 1997, “Crack Growth Under Variable Amplitude and Spectrum Loading in 2024-T3 Aluminum Alloys,” TMS-ASM Fall Meeting—The Professor Paul Paris Symposium.

Figures

Grahic Jump Location
Initial notch and fatigue crack
Grahic Jump Location
Experimentally observed crack lengths (a) a1 and (b) a2 plotted against cycles, N
Grahic Jump Location
Experimentally observed crack length a2 plotted against corresponding observed crack length a1
Grahic Jump Location
Crack front shapes predicted using FRANC3D
Grahic Jump Location
FRANC3D predicted ΔK_ plotted against a_
Grahic Jump Location
FRANC3D predicted crack lengths a1 and a2 plotted against corresponding generalized crack length a_
Grahic Jump Location
Predicted crack growth rate (da_/dN) against a_
Grahic Jump Location
Comparison between direct integration of governing crack growth equation and results from Markov chain models using different time steps
Grahic Jump Location
Predicted cycles before transition l1 and l2 as a function of crack growth rate parameter. Average experimentally observed l1 and l2 values are shown for comparison.
Grahic Jump Location
Effect of γr on l1 and l2
Grahic Jump Location
Comparison between experimentally observed (symbols) and numerically predicted (solid lines) distribution of cycles before first transition for ρ=0.7, γs=1.0, and four different values of γr
Grahic Jump Location
Comparison between experimentally observed (symbols) and numerically predicted (solid lines) distribution of cycles before first transition for ρ=0.7, γr=1.0, and four different values of γs
Grahic Jump Location
Experimentally observed and numerically predicted l1 and l2

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