Reliability-based mesomechanical crack nucleation model

37th AIAA/ASME/ASCE/AHS/ASC Structure, Structural Dynamics and Materials Conference

Volumn , Issue , 1996, Pages 2159-2166

  Tryon, Robert G ^a   Cruse, Thomas A ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK INITIATION; FATIGUE CRACK PROPAGATION; NUCLEATION; STRUCTURAL ANALYSIS; STRUCTURAL DYNAMICS; CRACK PROPAGATION; CRACKS; FATIGUE OF MATERIALS; FRACTURE MECHANICS; MATHEMATICAL MODELS; MICROSTRUCTURE; PROBABILITY; RELIABILITY; STATISTICAL METHODS;

FATIGUE CRACK INITIATION; FATIGUE-CRACK NUCLEATION; FIRST ORDER RELIABILITY METHODS; MICRO-MECHANICAL MODELING; MICROMECHANICAL PROCESS; MICROSTRUCTURAL HETEROGENEITY; STATISTICAL CHARACTERISTICS; STATISTICAL PARAMETERS;

CRACKS; COMPOSITE MICROMECHANICS;

FIRST ORDER RELIABILITY METHODS; MACRORESPONSE; MICROMECHANICAL MODEL; STATISTICAL PARAMETERS;

EID: 0029718658     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-1562     Document Type: Conference Paper

References (32)

1. Sasaki, S. K., Ochi, Y., Ishii, A., and Abe, H., “Effects of Material Structures on Statistical Scatter in Initiation and Growth Lives of Surface Cracks and Failure Life in Fatigue”, JSME International Journal, Series I, Vol. 32, No. 1, pp. 155-161, 1989.
2. Goto, M., “Statistical Investigation of the Behaviour of Small Cracks and Fatigue Life in Carbon Steels with Different Ferrite Grain Sizes”, Fatigue Fract. Engrg. Mater. Struct., Vol. 17, No. 6, pp. 635-649, 1994.
3. Ishii, A., Ochi Y., Sasaki, S. K. and Nakamura, H., “Effect of Microstructure on Statistical Scatter of Crack Initiation and Growth Lives in NiCrMoV Cast Steel”, Journal of the Society of Materials Science, Japan/Zairyo, Vol. 40, No. 452, pp. 568-574, 1991.
4. Nistiani, H., and Takao, K-I, “Significance of Initiation, Propagation and Closure of Microcracks in High Cycle Fatigue of Ductile Metals”, Engineering Fracture Mechanics, Vol. 15, No. 3, pp. 445-456, 1981.
5. Goto, M., “Statistical Investigation of the Behaviour of Microcracks in Carbon Steel”, Fatigue Fract. Engrg. Mater. Struct., Vol. 14, No. 8, pp. 833-845,1991.
6. Sasaki, S. K., Ochi, Y., and Ishii, A., “Statistical Investigation of Surface Fatigue Cracks in Large-sized Turbine Rotor Shaft Steel”, Engineering Fracture Mechanics, Vol. 28, No. 5/6, pp. 761-772, 1987.
7. Taira S., Tanaka, K., and Hoshina, M., “Grain Size Effect on Crack Nucleation and Growth in Long-Life Fatigue of Low-Carbon Steel”, Fatigue Mechanisms, Proceedings of an ASTM-NBS-NSF symposium, Ed. Fong, J. T., ASTM STP 675, PP. 135-173, 1979.
8. Floreen, S., “High Temperature Crack Growth Structure Property Relationships in Nickel Base Superalloys”, Creep-Fatigue-Environment Interactions Ed., Pelloux, R., Slotoff, N., The Metallurgical Society of AIME, 1980, pp. 121-128.
9. Tokaja, K., Ogawa, T., Ohya, K., “The Effect of Grain Size on Small Fatigue Crack Growth in Pure Titanium”, Fatigue, Vol. 16, Nov. 1994, pp. 571-578.
10. Gayda, J., Miner, R., “Fatigue Crack Initiation and Propagation in Several Nickel-Based Superalloy at 650°C”, International Journal of Fatigue, Vol. 5, No. 3, July 1983, pp. 135-143.
11. Lerch, B., “Microstructural Effects on the Room and Elevated Temperature Low Cycle Fatigue Behavior of Waspaloy”, NASA CR 165 497, May 1982.
12. Lankford, J., and Davidson, D. L., “The Role of Metallurgical Factors in Controlling the Growth of Small Fatigue Cracks”, Small Fatigue Cracks, Ed., Ritchie, R. O. and Lankford, J., The Metallurgical Society, Warrendale, PA, pp. 51-71, 1986.
13. Bataille, A., Magnin, T., “Surface damage accumulation in low cycle fatigue: physical analysis and numerical modelling”, Acta Metall. Mater., Vol. 42, No. 11, 1994, pp. 3817-3825.
14. Halford, G. R., “Evolution of Creep-Fatigue Life Prediction Models”, Creep-Fatigue Interaction at High Temperature, Ed. Haritos, G. K., and Ochoa, O. O., ASME, AD-Vol. 21, pp. 43-57, 1991.
15. Axelrad, D. R., “The Mechanics of Discrete Media”, Continuum Models of Discrete Systems (CMDSS), Ed., Kröner, E., Anthony, K.-H., University of Waterloo Press, 1980, pp. 3-34.
16. Tanaka, K., Mura, T., “A Dislocation Model for Fatigue Crack Initiation”, ASME Journal of Applied Mechanics, Vol. 48, March 1981, pp. 97-103.
17. Mura, T., Tanaka, K., “Dislocation Dipole Models for Fatigue Crack Initiation”, Mechanics of Fatigue, AMD- Vol. 47, The American Society of Mechanical Engineers, 1981, pp. 111-132.
18. Mura, T., and Nakasone, Y., “A Theory of Fatigue Crack Initiation in Solids”, J. Appl. Mech., 57, pp. 1-6, 1990.
19. Venkatraman, G., Chung, Y-W., Nakasone, Y., and Mura, T., “Free Energy Formulation of Fatigue Crack Initiation Along Persistent Slip Bands: Calculation of S-N Curves and Crack Depths”, Acta Metall. et Mater., 38, pp. 31-40, 1990.
20. Kato M., and Mori, T., “Statistical Consideration of Fatigue Damage Accummulation”, Mechanics of Materials, 13, pp. 155-163, 1992.
21. Forsyth, P., The Physical Basis of Metal Fatigue, American Elsevier Publishing Company, New York, 1969.
22. Smith, C., S., A Search for Structure, MIT Press, Cambridge, 1981.
23. Kurtz, S. K., and Carpay, F. M. A., “Microstructure and Normal Grain Growth in Metals and Ceramics. Part I. Theory”, J. Appl. Phys., Vol. 51, No. 11, pp. 5725-5744, 1980.
24. Kumar, S., Kurtz, S. K., Banavar, J. R., and Sharma, M. G., “Properties of a Three- Dimensional Poisson-Voronoi Tesselation: A Monte Carlo Study.”, Journal of Statistical Physics, Vol. 67, Nos. 3/4, pp. 523-551, 1992.
25. Barenblatt, G. I., “On a Model of Small Fatigue Cracks”, Engineering Fracture Mechanics, Vol. 28, No. 5/6, pp. 623-626, 1987.
26. Kozaczek, K. J., Petrovic, G. B., Ruud, C. O., and McIIree, A. R., “Modeling of Stress Distributions on the Microstructural Level in Alloy 600”, Fatigue and Crack Growth: Environmental Effects, Modeling Studies, and Design Considerations, PVP-Vol. 306, ASME, pp. 223-232, 1995.
27. Tryon, R. G., Cruse, T. A., “Probabilistic Mesomecahnical Fatigue Crack Nucleation Model” Submitted for publication in ASME Journal of Engineering Materials and Technology.
28. Tanaka K., Kinefuchi, M., and Yokomaku, T., “Modelling of Statistical Characteristics of the Propagation of Small Fatigue Cracks”, Short Fatigue Cracks, Eds. Miller, K. J., and de los Rios, E. R., ESIS 13, Mechanical Engineering Publications, London, pp. 351-368, 1992.
29. Chudnovsky, A., and Kunin, B., “A Probabilistic Model of Brittle Crack Formation”, J. Appl. Phys., Vol. 62, No. 10, pp. 4124-4129, 1987.
30. Mull, M. A., and Chudnovsky, A., “A Probabilistic Approach to the Fracture Toughness of Composites”, Philosophical Magazine A, Vol. 56, No. 3, pp. 419-443, 1987.
31. Moet, A., Mostafa, I., Chudnovsky, A., and Kunin, B., “Probabilistic Fracture Mechanics of 2D Carbon- Carbon Composites”, International Journal of Fracture, 55, pp. 179-191, 1992.
32. Wu, Y-T., Millwater, H.R. and Cruse, T.A., “Advanced Probabilistic Structural Analysis Method for Implicit Performance Functions,” AIAA Journal, Vol 28, No. 9, 1990, pp 1663-1669.