On characteristic lengths used in notch fracture mechanics
Source abstract
Abstract
In this paper, four kinds of characteristic length parameters used in a local notch fracture criterion are presented: (1) a characteristic length \({\uprho }_{\mathrm{c}}\) generally connecting to the notch radius, (2) a characteristic distance \(\hbox {X}_{\mathrm{c}}\) considered as intrinsic to material and connected to the microstructure, (3) a critical distance \(\hbox {d}0\) considered as intrinsic to material and connected to the fracture process zone, (4) an effective distance \(\hbox {X}_{\mathrm{ef}}\) considered as a characteristic of the stress distribution. Each approach is discussed. The paper ends with the author’s opinion about the different methods.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Hermeneutics and Narrative Identity · Aging, Elder Care, and Social Issues · Health, Medicine and Society
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (40)
Show source-provided references
1. Akourri O, Elayachi I, Pluvinage G, Elayachi I, Bensalah MO, Lebienvenu M, Dlouhy I (2005) To joint effect of temperature and notch root radius on fracture toughness. Eng Mech 12(1):11–22
2. Betegon C, Hancock JW (1991) Two parameter characteristics of elastic-plastic crack-tip fields. J Appl Mech 58:104–10110.1115/1.2897135 ↗
3. Clausmeyer H, Kussmaul K, Roos E (1991) Influence of stress state on the failure behaviour of cracked components made of steel. ASME Appl Mech Rev 44(2):77–9210.1115/1.3119495 ↗
4. Creager M, Paris PC (1967) Elastic field equations for blunt cracks with reference to stress corrosion cracking. Int J Fract 3:247–25210.1007/BF00182890 ↗
5. Dowling AR, Towley CHA (1975) The effect of defect on structural failures: a two-criteria approach. Int J Press Vessel Pip 3(2):77–10710.1016/0308-0161(75)90014-9 ↗
6. Filippi S, Lazzarin P, Tovo R (2002) Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates. Int J Solid Struct 39:4543–456510.1016/S0020-7683(02)00342-6 ↗
7. Gogotsi GA (2003) Fracture toughness of ceramics and ceramic composites. Ceram Int 29(7):777–78410.1016/S0272-8842(02)00230-4 ↗
8. Gómez FJ, Elices MA (2004) Fracture criterion for blunted V-notched samples. Int J Fract 127:239–26410.1023/B:FRAC.0000036832.29429.21 ↗
9. Gómez FJ, Elices MA (2004) Fracture criterion for blunted V-notched samples. Int J Fract 127:239–26410.1023/B:FRAC.0000036832.29429.21 ↗
10. Guillemot LF (1965) Brittle fracture on welded materials. Second Commonwealth Welding Conference London, pp 353–382, C7
11. Irwin GR (1948) Analysis of stresses and strains near the end of a crack traversing a plate. Trans J Appl Mech 24:361–36410.1115/1.4011547 ↗
12. Kaechele LE, Tetelman AS (1969) A statistical investigation of microcrack formation. Acta Metall 17:463–47510.1016/0001-6160(69)90028-5 ↗
13. Kim JH, Kim DH, Moon SI (2004) Evaluation of static and dynamic fracture toughness using apparent fracture toughness of notched specimen. Mater Sci Eng A 11:387–38910.1016/j.msea.2004.01.134 ↗
14. Lazzarin L, Tovo R (1996) A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches cracks and notches. Int J Fract 78:3–1910.1007/BF00018497 ↗
15. Lazzarin P, Berto F (2005) Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches. Int J Fract 135:161–8510.1007/s10704-005-3943-6 ↗
16. Leguillon D (2001) A criterion for crack nucleation at a notch in homogeneous materials. C R Acad Sci Paris Ser IIb 329:97–102
17. Livieri P (2008) Use of J-integral to predict static failures in sharp V-notches and rounded U-notches. Eng Fract Mech 75:1779–179310.1016/j.engfracmech.2007.01.022 ↗
18. Mehran S, Rouhi B, Ramzani B, Barati E (2012) Fracture analysis of functionally graded materials with U- and V-notches under mode I loading using the averaged strain-energy density criterion. Fatigue Fract Eng Mater Struct 35(7):614–62710.1111/j.1460-2695.2011.01655.x ↗
19. Meliani Hadj M, Matvienko Y, Pluvinage G (2011) Two-parameter fracture criterion (K rho, c-Tef, c) based on notch fracture mechanics. Int J Fract 167(2):173–18210.1007/s10704-010-9542-1 ↗
20. Minor HE, Kifani A, Louah M, Azari Z, Pluvinage G (2003) Struct Safety 25
21. Neuber H (1937) Kerbspannungslehre. Springer, Berlin10.1007/978-3-662-36565-6 ↗
22. Novozhilov VV (1969) On necessary and sufficient criterion of brittle strength. Appl Math Mech (PMM) 33:212–222
23. O’Dowd NP, Shih CF (1991) Family of crack tip fields characterized by a triaxiality parameter. J Mech Phys Solids 39(8):989–101510.1016/0022-5096(91)90049-T ↗
24. Osborne DE, Embury JD (1973) The influence of warm rolling on the fracture toughness of bainitic steel. Metall Trans 4:2051–206110.1007/BF02643267 ↗
25. Peterson RE (1959) Notch sensitivity. In: Sines G, Waisman JL (eds) Metal fatigue. MacGraw Hill, New York
26. Pluvinage G, Azari Z, Kadi N, Dlouhy I, Kozak V (1999) Effect of ferritic microstructure on local damage zone distance associated with fracture near notch. Theor Appl Fract Mech 31:149–15610.1016/S0167-8442(99)00009-9 ↗
27. Pluvinage G (2001) Notch effects in fatigue and fracture. Kluwer, Dordrecht10.1007/978-94-010-0880-8 ↗
28. Pluvinage G (2003) Fracture and fatigue emanating from stress concentrators. Kluwer, Dordrecht
29. Pluvinage G, Montariol F (1971) Influence de la taille de grain sur les courbes COD-Température d’essai d’un acier doux. Revue Metallurgie 68(4):73–81
30. Ritchie RO, Knott JF, Rice JR (1973) On the relationship between critical tensile stress and fracture toughness in mild steel. J Mech Phys Solids 21:359–41010.1016/0022-5096(73)90008-2 ↗
31. Saghafi H, Ayatollahi MR, Sistaninia M (2010) A modified MTS criterion (MMTS) for mixed-mode fracture toughness assessment of brittle materials. Mater Sci Eng A 527(21–22):5624–563010.1016/j.msea.2010.05.014 ↗
32. Seweryn A (1994) Brittle fracture criterion for structures with sharp notches. Eng Fract Mech 47(4):673–68110.1016/0013-7944(94)90158-9 ↗
33. Sih GC (1974) Strain energy density factor applied to mixed mode crack problems. Int J Fract 10(3):305-32110.1007/BF00035493 ↗
34. Taylor D (2004) Predicting the fracture strength of ceramic materials using the theory of critical distances. Eng Fract Mech 71:2407–241610.1016/j.engfracmech.2004.01.002 ↗
35. Tovo R, Livieri P (2008) An implicit gradient application to fatigue of complex structures. Eng Fract Mech 75:1804–181410.1016/j.engfracmech.2007.01.020 ↗
36. Vratnica M, Pluvinage G, Jodin P, Cvijovic Z, Rakin M, Burzic Z (2010) Influence of notch radius and microstructure on the fracture behaviour of Al–Zn–Mg–Cu alloys of different purity. Mater Des 31:1790–179810.1016/j.matdes.2009.11.018 ↗
37. Whitney JM, Nuismer RJ (1974) Stress fracture criteria for laminated composites containing stress concentrations. J Comp Mater 8:253–26510.1177/002199837400800303 ↗
38. Williams ML (1957) On the stress distribution at the base of stationary crack. ASME J Appl Mech 24:109–142110.1115/1.4011454 ↗
39. Yang B, Ravi-Chandar K (1999) Evaluation of elastic T-stress by the stress difference method. Eng Fract Mech 64:589–60510.1016/S0013-7944(99)00082-X ↗
40. Yosibash Z, Bussiba A, Gilad I (2004) Fracture criteria for brittle elastic materials. Int J Fract 125:307–33310.1023/B:FRAC.0000022244.31825.3b ↗