Strain-based multiaxial fatigue damage modelling

Fatigue and Fracture of Engineering Materials and Structures

Volumn 28, Issue 12, 2005, Pages 1177-1189

  Liu, Y ^a   Mahadevan, S ^a  

^a Vonderbilt University   (United States)

Author keywords

Characteristic plane; Critical plane; Life prediction; Multiaxial fatigue

Indexed keywords

AXIAL FLOW; MATHEMATICAL MODELS; PROBLEM SOLVING; STRAIN;

CHARACTERISTIC PLANE; CRITICAL PLANE; LIFE PREDICTION; MULTIAXIAL FATIGUE;

FATIGUE OF MATERIALS;

EID: 30744471458     PISSN: 8756758X     EISSN: 14602695     Source Type: Journal    
DOI: 10.1111/j.1460-2695.2005.00957.x     Document Type: Article

References (55)

1. Garud, Y. S. (1981) Multiaxial fatigue: A survey of the state-of-the-art. J. Test Eval. 9, 165-178.
2. Brown, M. W. and Miller, K.J. (1982) Two decades of progress in the assessment of multiaxial low-cycle fatigue life. In: Law-Cycle Fatigue and Life Prediction. ASTM STP 770 (Edited by C. Amzallag, B. Leis and P. Rabbe), ASTM, Philadelphia, pp. 482-499.
3. You, B. R. and Lee, S. B. (1996) A critical review on multiaxial fatigue assessments of metals. Int. J. Fatigue 18, 235-244.
4. Papadopoulos, I. V., Davoli, P., Gorla, C., Filippini, M. and Bernasconi, A. (1997) A comparative study of multiaxial high-cycle fatigue criteria for metals. Int. J. Fatigue 19, 219-235.
5. Macha, E. and Sonsino, C. M. (1999) Energy criteria of multiaxial fatigue failure. Fatigue Fract. Engng Mater. Struct. 22, 1053-1070.
6. Wang, Y. Y. and Yao, W. X. (2004) Evaluation and comparison of several multiaxial fatigue criteria. Int. J. Fatigue 26, 17-25.
7. Kim, K. S., Park, J. C. and Lee, J. W. (1999) Multiaxial fatigue under variable amplitude loads. J Engng Mater. Technol. [Trans ASME] 121, 286-293.
8. Socie, D. (1987) Multiaxial fatigue damage models. J. Engng Mater. Technol. [Trans ASME] 109, 293-298.
9. Pascoe, K.J. and DeVilliers, J. W. R. (1967) Low-cycle fatigue of steels under biaxial strainings. I. Strain Anal. 2, 117-126.
10. Garud, Y. S. (1979) Anew approach to the evaluation of fatigue under multiaxial loadings. Methods Predict Mater life [ASME] 103, 247-263.
11. Ellyin, F. and Valarie, B. (1982) High strain multiaxial fatigue. J. Engng Mater. Technol.[Trans ASME] 104, 165-173.
12. Socie, D. (1989) A summary and interpretation of the Society of Automotive Engineers' Biaxial Testing Program. In: Multiaxial Fatigue: Analysis and Experiments. SAE. AE-14, Society of Automotive Engineers, Warrendale, PA, pp. 1-11.
13. Brown, M. W. and Miller, K. J. (1973) A theory for fatigue failure under multiaxial stress-strain conditions. Proc. Inst. Mech. Engrs 187, 745-755.
14. Kandil, F. A., Brown, M. W. and Miller, K. J. (1982) Biaxial low cycle fatigue fracture of 316 stainless steel at elevated temperatures. Metal Soc. Lond. 280, 203-210.
15. Lohr, R. D. and Ellison, E. G. (1980) A simple theory for low cycle multiaxial fatigue. Fatigue Fract. Engng Mater. Struct. 3, 1-17.
16. Socie, D., Waill, L. A. and Dittmer, D.F. (1985) Biaxial fatigue of inconel 718 including mean stress effects. In: Multiaxial Fatigue, ASTM STP 853 (Edited by K.J. Miller and M. W. Brown), ASTM, Philadelphia, pp. 7-36.
17. Fatemi, A. and Socie, D. F. (1988) A critical plane to multiaxial fatigue damage including out-of-phase loading. Fatigue Fract. Engng Mater. Struct. 11, 149-165.
18. Glinka, G., Plumtree, A. and Shen, G. (1995) A multiaxial fatigue strain energy parameter related to the critical plane. Fatigue Fract. Engng Mater. Struct. 18, 37-46.
19. Pan, W. F., Hung, C. Y. and Chen, L. L. (1999) Fatigue life estimation under multiaxial loadings. Int. J. Fatigue. 21, 3-10.
20. Farahani, A. V. (2000) A new energy critical plane parameter for fatigue life assessment of various metallic materials subjected to in-phase and out-of-phase multiaxial fatigue loading conditions. Int. J. Fatigue. 22, 295-305.
21. Smith, K. N., Watson, P. and Topper, T. H. (1970) A stress-strain function for the fatigue of metals. J. Mater. 5, 767-78.
22. Chu, C. C., Conle, F. A. and Bonnen, J. J. (1993) Multiaxial stress-strain modeling and fatigue life prediction of SAE axle shafts. In: Advances in Multiaxial Fatigue, ASTM STP 1191 (Edited by D. L. McDowell and R. Ellis), ASTM, Philadelphia pp. 37-54.
23. Kim, K. S., Nam, K. M., Kwak, G. J. and Hwang, S. M. (2004) A fatigue life model for 5% chrome work roll steel under multiaxial loading. Int. J. Fatigue. 26, 683-689.
24. Bannantine, J. A. and Socie, D. F. (1991) A variable amplitude multiaxial fatigue life prediction method. In: Mechanical Engineering Publications (Edited by K. Kussmaul, D. McDiarmid and D. Socie), ESIS10, London, pp. 35-51.
25. Chen, X., Xu, S. and Huang, D. (1999) A critical plane-strain energy density criterion for multiaxial low-cycle fatigue life under nonproportional loading. Fatigue Fract. Engng Mater. Struct. 22, 679-686.
26. Park, J. and Nelson, D. (2000) Evaluation of an energy-basedapproach and a critical plane approach for predicting constant amplitude multiaxial fatigue life. Int. J. Fatigue. 22, 23-39.
27. Lee, B. L., Kim, K. S. and Nam, K. M. (2003) Fatigue analysis under variable amplitude loading using an energy parameter. Int. J. Fatigue. 25, 621-631.
28. Kallmeyer, A. R., Ahmo, K. and Kurath, P. (2002) Evaluation of multiaxial fatigue life prediction methodologies for Ti-6A1-4V. J. Engng Mater. Technol. [Trans ASME] 124, 229-237.
29. Papadopoulos, I. V. (1998) Critical plane approaches in high cycle fatigue: On the definition of the amplitude and mean shear stress acting on the critical plane. Fatigue Fract. Engng Mater. Struct. 21, 269-285.
30. Socie, D. and Marquis, G., (eds). (2000) Multiaxial Fatigue, Society of Automotive Engineers.
31. McDowell, D. L., Socie, D. E. and Lamba, H. S. (1982) Multiaxial nonproportional cyclic deformation. Low Cycle Fatigue Life Prediction [ASTM STP770] 500-518.
32. Doong, S. H. and Socie, D. E. (1991) Constitutive modeling of metals under nonproportional cyclic loading. J. Engng Mater. Tech. [Trans ASME] 113, 23-30.
33. Borodii, M. V., Kucher, N. K. and Strizhalo, V. A. (1996) Development of a constitutive model for biaxial low-cycle fatigue. Fatigue Fract. Engng Mater. Struct. 19, 69-1179.
34. Shang, D. G., Wang, D. J. and Yao, W. X. (2000) A simple approach to the description of multiaxial cyclic stress-strain relationship. Int. J. Fatigue. 22, 251-256.
35. Kanazawa, K., Miller, K. J. and Brown, M. W. (1979) Cyclic deformation of 1% Cr-Mo-V steel under out-of-phase loads. Fatigue Fract. Engng Mater. Struct. 2, 217-228.
36. ASME Code Case N-47. (1978) Case of ASME Boiler and Pressure Vessel Code, Case N-47, Class 1, Section 3, Division 1, ASME.
37. Itoh, T., Sakane, M., Ohnami, M. and Socie, D. F. (1995) Nonproportional low cycle fatigue criterion for type 304 stainless steel. J. Engng Mater. Technol. [Trans ASME] 117, 285-292.
38. Borodii, M. V. and Strizhalo, V. A. (2000) Analysis of the experimental data on a low cycle fatigue under nonproportional straining. Int. J. Fatigue 22, 275-282.
39. Kurath, P., Downing, S. D. and Galliart, D. (1989) Summary of non-hardened notched shaft round robin program. In: Multiaxial Fatigue: Analysis and Experiments. SAE, AE-14 (Edited by G. E. Leese and D. E. Socie), SAE, Warrendale pp. 12-32.
40. Sines, G. (1961) The prediction of fatigue fracture under combined stresses at stress concentrations. Bull. Jpn Soc. Mech. Engng 4, 443-453.
41. Gerber, H. (1874) Bestimmung der zulassigen Spannungen in Eisen-konstructionen. Zeitschrift des Bayerischen Architeckten und ingenieur-Vereins 6, 101-110.
42. Goodman, J. (1899) Mechanics Applied to Engineering. Longmans Green, London.
43. Soderberg, C. R. (1939) Factor Safety and Working Stress. Trans. ASME 52, 13-28.
44. Morrow, J. D. (1968) Fatigue Design Handbook-Advance in Engineering. Vol. 4 Society of Automotive Engineers, Warrendale, PA, pp. 21-29.
45. Kujawski, D. and Ellyin, F. A. (1995) Unified approach to mean stress effect on fatigue threshold conditions, Int. J. Fatigue 17, 101-106.
46. Hanlon, D. N., Rainforth, W. M. and Sellars, C. M. (1997) The effect of processing route, composition and hardness on thewear resistance of chromium bearing steels in a rolling-sliding configuration. Wear 203-204, 220-229.
47. Nadot, Y., Mendez, J., Ranganathan, N. and Beranger, S. (1999) Fatigue life assessment of nodular cast iron containing casting defects. Fatigue Fract. Engng Mater. Struct. 22, 289-300.
48. Jayaraman, N. and Ditmars, M. M. (1989) Torsional and biaxial (tension-torsion) fatigue damage mechanisms in Waspaloy at room temperature. Int. J. Fatigue 11, 309-318.
49. Learch, B. A., Jayaraman, A. and Antolovice, S. D. (1984) A study of fatigue damage mechanism in Waspaloy from 25 to 800°C. Mater. Sci. Eng. 66A, 151-166.
50. Lin, H., Nayeb-Hashemi, H., Pelloux, R. M. (1993) A multiaxial fatigue damage model for orthotropic materials under proportional loading. Fatigue Fract. Engng Mater. Struct. 6, 723-742.
51. Nelson, D. V. and Rostami, A. (1997) Biaxial fatigue of A533B pressure vessel steel. J. Press Vessel Technol. ASME, 119, 325-331.
52. Jordan, E. H. (1985) Elevated temperature biaxial fatigue. NASA Center for AeroSpace Information (CASI), NASA-CR-175009; NAS 1. 26:175009, 19851001.
53. Chen, X., An, K. and Kim, K. S. (2004) Low-cycle fatigue of 1Cr-18Ni-9Ti stainless steel and related weld metal under axial, torsional and 90° out-of-phase loading. Fatigue Fract. Engng Mater. Struct. 27, 439-448.
54. Bonacuse, P. J. and Kalluri, S. (1992) Elevated temperature axial and torsional fatigue behavior of Haynes 188. NASA Center for AeroSpace Information (CASI) NASA-TM-105396; E-6788; NAS 1.15:105396; AVSCOM-TR-91-C-045, 19920601.
55. Kalluri, S. and Bonacuse, P. J. (1991) In-phase and out-of-phase axial-torsional, fatigue behavior of Haynes 188 at 760 C. NASA Center for AeroSpace Information (CASI), NASA-TM-105765; E-7182;NAS 1. 15:105765; AVSCOM-TR-91-C-046; Symposium on Multiaxial Fatigue, San Diego, CA, United States, 19911001.