An approximation for the cyclic state of stress ahead of cracks and its implications under fatigue crack growth

Engineering Fracture Mechanics

Volumn 78, Issue 3, 2011, Pages 573-584

  Madia, M ^a   Beretta, S ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Constraint; Crack tip fields; Fatigue crack growth; Plastic zone size

Indexed keywords

A1N STEEL; CLOSED FORM; CONSTRAINT; CRACK-TIP FIELDS; CYCLIC PLASTICITY; DAMAGE TOLERANCE ANALYSIS; FATIGUE CRACK GROWTH; FATIGUE LIMIT; FINITE ELEMENT ANALYSIS; GLOBAL CONSTRAINTS; INDUCED CRACK; J INTEGRAL; LOADING CONFIGURATION; LOCAL FIELDS; LONG CRACKS; MATERIAL PROPERTY; MILD STEEL; NOVEL STRATEGIES; PLASTIC ZONE SIZE; RETARDATION EFFECT; STATE OF STRESS; STRESS RATIO; STRIP YIELD MODEL; T STRESS; VARIABLE AMPLITUDE LOADING;

CARBON STEEL; CRACK CLOSURE; FATIGUE DAMAGE; FITS AND TOLERANCES; HIGH STRENGTH STEEL; MATERIALS PROPERTIES; NUMERICAL METHODS; PLASTICITY;

FATIGUE CRACK PROPAGATION;

EID: 79451469603     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2010.02.004     Document Type: Article

References (35)

1. Carboni M., Beretta S., Madia M. Analysis of crack growth at R=-1 under variable amplitude loading on a steel for railway axles. J ASTM Int 2008, 5(7).
2. Sehitoglu H., Gall K., García A.M. Recent advances in fatigue crack growth modeling. Int J Fracture 1996, 80:165-192.
3. McClung RC, Chell GG, Lee YD, Russell DA, Orient GE. Development of a practical methodology for elastic-plastic and fully plastic fatigue crack growth. NASA technical report; 1999.
4. Pommier S., Bompard Ph Bauschinger effect of alloys and plasticity-induced crack closure: a finite element analysis. Fatigue Fract Engng Mater Struct 2000, 23:129-139.
5. Sander M., Richard H.A. Finite element analysis of fatigue crack growth with interspersed mode I and mixed mode overloads. Int J Fatigue 2005, 27:905-913.
6. Newman Jr JC. A crack closure model for predicting fatigue crack growth under aircraft spectrum loading. In: Methods and models for predicting fatigue crack growth under random loading, ASTM STP 748; 1981. p. 53-84.
7. Newman J.C., Bigelow C.A., Shivakumar K.N. Three-dimensional elastic-plastic finite-element analyses of constraint variations in cracked bodies. Engng Fract Mech 1993, 46(1):1-13.
8. Beretta S., Carboni M., Madia M. Modelling of fatigue thresholds for small cracks in a mild steel by "Strip-Yield" model. Engng Fract Mech 2009, 76:1548-1561.
9. Madia M. Analysis of the cyclic stress ahead of small cracks at R=-1. In: Proceedings of the17th European conference on fracture. Brno, Czech Republic; 2008.
10. Betegon C., Hancock J.W. Two-parameters characterization of elastic-plastic crack-tip fields. J Appl Mech 1991, 58(1):104-110.
11. Al-Ani A.M., Hancock J.W. J-dominance of short cracks in tension and bending. J Mech Phys Solids 1991, 39(1):23-43.
12. Du Z.Z., Hancock J.W. The effect of non-singular stresses on crack-tip constraint. J Mech Phys Solids 1991, 39(4):555-567.
13. Wang YY. On the two-parameter characterization of elastic-plastic crack-front fields in surface-cracked plates. In: Constraint effects in fracture, ASTM STP 1171; 1993. p. 120-38.
14. O'Dowd N.P., Shih C.F. Family of crack-tip fields characterized by a triaxiality parameter - I. Structure of fields. J Mech Phys Solids 1991, 39(8):989-1015.
15. O'Dowd N.P., Shih C.F. Family of crack-tip fields characterized by a triaxiality parameter - I. Fracture applications. J Mech Phys Solids 1992, 40(5):939-963.
16. Yang S., Chao Y.J., Sutton M.A. Higher order asymptotic crack tip fields in a power law hardening material. Engng Fract Mech 1993, 45(1):1-20.
17. Park H.B., Kim K.M., Lee B.W. Plastic zone size in fatigue cracking. Int J Pres Ves Piping 1996, 68:279-285.
18. Usami S., Shida S. Elastic-plastic analysis of the fatigue limit for a material with small flaw. Fatigue Fract Engng Mater Struct 1979, 1:471-481.
19. Beretta S., Carboni M., Madia M. Fatigue strength in presence of inhomogeneities: influence of constraint. J ASTM Int 2006, 3(4):1-11.
20. Madia M. Effect of constraint on crack propagation in mechanical components. Ph.D. Thesis, Milan, Italy; 2008.
21. CEN/TC 29 (2002) EN 10305-1:2002.
22. Miller K.J. Materials science perspective of metal fatigue resistance. Mater Sci Technol 1993, 9(6):453-462.
23. El-Haddad M.H., Smith K.N., Topper T.H. Fatigue crack propagation of short cracks. J Engng Mater Technol ASME Trans 1979, 101:42-46.
24. Beretta S. In: Proceedings of the14th European conference on fracture. Krakow, Poland; 2002.
25. Murakami Y. Analysis of stress intensity factors of mode I, II and III for inclined surface cracks of arbitrary shape. Engng Fract Mech 1985, 22(1):101-114.
26. Newman J.C., Schneider J., Daniel A., McKnight D. Compression pre-cracking to generate near threshold fatigue-crack growth rates in two aluminium alloys. Int J Fatigue 2005, 27:1432-1440.
27. ABAQUS, Hibbit, Karlsson and Sorensen, Inc. User's manual, ver. 6.5; 2005.
28. McClung R.C. Crack closure and plastic zone sizes in fatigue. Fatigue Fract Engng Mater Struct 1991, 14(4):455-468.
29. Nikishkov G.P., Bruckner-Foit A., Munz D. Calculation of the second fracture parameter for finite crack bodies using a three-term elastic-plastic asymptotic expansion. Engng Fract Mech 1995, 52:685-701.
30. Chao Y.J., Zhu X.K., Kim Y., Lam P.S., Pechersky M.J., Morgan M.J. Characterization of crack-tip fields and constraint for bending specimens under large scale yielding. Int J Fracture 2004, 127:283-302.
31. Brocks W, Schmitt W. The second parameter in J-R curves: constraint or triaxiality? In: Constraints effects in fracture theory and applications, vol. 2. ASTM STP; 1995.
32. Brocks W., Yuan H. Quantification of constraint effects in elastic-plastic crack front fields. J Mech Phys Solids 1998, 46(2):219-241.
33. Brocks W, Schmitt W. Quantitative assessment of the role of crack tip constraint on ductile tearing. In: Constraint effects in fracture, ASTM STP 1171; 1993.
34. Chang T., Li G., Hou J. Effects of applied stress level on plastic zone size and opening stress ratio of a fatigue crack. Int J Fatigue 2005, 27:519-526.
35. Guo W. Three-dimensional analyses of plastic constraint for through thickness cracked bodies. Engng Fract Mech 1992, 62(4-5):383-407.