A generalised notch stress intensity factor for U-notched components loaded under mixed mode

Engineering Fracture Mechanics

Volumn 75, Issue 16, 2008, Pages 4819-4833

  Gomez F J ^a   Elices, M ^a   Berto, F ^b   Lazzarin, P ^b  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

Cohesive zone model (CZM); Local mode I; Mixed mode loading; Notch stress intensity factor (NSIF); Strain energy density (SED); U notches

Indexed keywords

ASPHALT PAVEMENTS; STRESS INTENSITY FACTORS;

COHESIVE ZONE MODEL; COHESIVE ZONE MODEL (CZM); LOCAL MODE I; LOCAL MODES; MIXED MODE LOADING; MIXED MODES; NOTCH STRESS INTENSITY FACTOR; NOTCH STRESS INTENSITY FACTOR (NSIF); NOTCHED COMPONENTS; NOTCHED SPECIMENS; STRAIN ENERGY DENSITY; STRAIN ENERGY DENSITY (SED); U-NOTCHES;

WELDS;

EID: 50249155323     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2008.07.001     Document Type: Article

References (30)

1. Neuber H. Kerbspannungslehre. 2nd ed. (1958), Springer-Verlag, Berlin
2. Novoshilov V. On a necessary and sufficient criterion for brittle strength. J Appl Math Mech (Trans PMM) 33 (1969) 212-222
3. Papadopoulos G.A., and Poniridis P.I. Crack initiation from blunt notches under biaxial loading. Engng Fract Mech 31 (1988) 65-78
4. Seweryn A. Brittle fracture criterion for structures with sharp notches. Engng Fract Mech 47 (1994) 673-681
5. Hallström S., and Grenestedt J.L. Mixed mode fracture of cracks and wedge shaped notches in expanded PVC foam. Int J Fract 88 (1997) 343-358
6. Taylor D. Predicting the static strength of ceramic materials. Engng Fract Mech 71 (2004) 2407-2416
7. Isupov L.P., and Mikhailov S.E. A comparative analysis of several non-local fracture criteria. Arch Appl Mech 68 (1998) 597-612
8. Mikhailov S.E. A functional approach to non-local strength conditions and fracture criteria-II. Discrete fracture. Engng Fract Mech 52 (1995) 745-754
9. Yosibash Z., Priel E., and Leguillon D. A failure criterion for brittle elastic materials under mixed-mode loading. Int J Fract 141 (2006) 291-312
10. Seweryn A., and Lukaszewicz A. Verification of brittle fracture criteria for elements with V-shaped notches. Engng Fract Mech 69 (2002) 1487-1510
11. Tovo R., Livieri P., and Benvenuti E. An implicit gradient type of static failure criterion for mixed-mode loading. Int J Fract 141 (2006) 497-511
12. Sih G.C. Strain-energy-density factor applied to mixed mode crack problems. Int J Fract 10 (1974) 305-321
13. Lazzarin P., and Zambardi R. A finite-volume-energy based approach to predict the static and fatigue behaviour of components with sharp V-shaped notches. Int J Fract 112 (2001) 275-298
14. Yosibash Z., Bussiba A., and Gilad I. Failure criteria for brittle elastic materials. Int J Fract 125 (2004) 307-333
15. Lazzarin P., and Berto F. Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches. Int J Fract 135 (2005) 161-185
16. Gómez F.J., Elices M., and Valiente A. Cracking in PMMA containing U-shaped notches. Fatigue Fract Engng Mater Struct 23 (2000) 795-803
17. Gómez F.J., Guinea G.V., and Elices M. Failure criteria for linear elastic material with U-notches. Int J Fract 141 (2005) 95-109
18. Berto F., Lazzarin P., and Radaj D. Fictitious notch rounding concept applied to sharp V-notches: evaluation of the microstructural support factor for different failure hypotheses. Part I: microstructural support analysis. Part I: basic stress equations. Engng Fract Mech 75 (2008) 3060-3072
19. Berto F, Lazzarin P, Radaj D. Fictitious notch rounding concept applied to sharp V-notches: evaluation of the microstructural support factor for different failure hypotheses. Part II: microstructural support analysis. Engng Fract Mech, in press,doi:10.1016/j.engfracmech.2008.01.015.
20. Lazzarin P., and Berto F. From Neuber's elementary volume to Kitagawa and Atzori's diagrams: an interpretation based on local energy. Int J Fract 135 (2005) L33-L38
21. Gómez F.J., Elices M., Berto F., and Lazzarin P. Local strain energy to asses the static failure of U-notches in plates under mixed mode loading. Int J Fract 145 (2007) 29-45
22. Berto F., Lazzarin P., Gómez F.J., and Elices M. Fracture assessment of U-notches under mixed mode loading. Two procedures based on the equivalent local mode I concept. Int J Fract 148 (2007) 415-433
23. Hillerborg A., Modéer M., and Petersson P.E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6 (1976) 773-782
24. Bažant Z.P., and Planas J. Fracture and size effect in concrete and other quasibrittle materials (1998), CRC Press, Boca Raton and London
25. Elices M., Guinea G.V., Gómez F.J., and Planas J. The cohesive zone model: advantages, limitations and challenges. Engng Fract Mech 69 (2002) 137-163
26. Planas J., and Elices M. Asymptotic analyses of a cohesive crack: 1 theoretical background. Int J Fract 55 (1992) 153-177
27. Planas J., and Elices M. Asymptotic analyses of a cohesive crack: 2 influence of the softening curve. Int J Fract 64 (1993) 221-237
28. Glinka G. Energy density approach to calculation of inelastic strain-stress near notches and cracks. Engng Fract Mech 22 (1985) 485-508
29. Priel E., Bussiba A., Gilad I., and Yosibash Z. Mixed mode failure criteria for brittle elastic V-notched structures. Int J Fract 144 (2007) 247-265
30. Dunn M.L., Suwito W., Cunningham S., and May C.W. Fracture initiation at sharp notches under mode I, mode II, and mild mixed mode loading. Int J Fract 84 (1997) 367-381