Skip to main content
Erschienen in: Meccanica 2/2015

01.02.2015 | Experimental Solid Mechanics

A study into the interaction of intergranular cracking and cracking at a fastener hole

verfasst von: R. Jones, M. Lo, D. Peng, A. Bowler, M. Dorman, M. Janardhana, N. S. Iyyer

Erschienen in: Meccanica | Ausgabe 2/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper describes the results of a study into a new class of multi-site damage problems, viz: the interaction between multi-layer intergranular cracks and cracks that grow from small naturally occurring material discontinuities at a hole. The nature of the intergranular cracks, which are perhaps better thought of as delaminations rather than cracks, are chosen so as to approximate those found at fastener holes in RAAF AP3C (Orion) aircraft which arise due to ingress of the environment down the holes in the wing structure. The particular form of the multi-site damage studied involves two intergranular cracks (delaminations) that (in the vicinity of the hole) divide the plate thickness into thirds) interacting with cracks that emanate from the bore of the hole in a 7075-T6 aluminium plate.
We first determine the effect of the intergranular cracks (delaminations) on the stress field at the hole. We then evaluate the effect of these intergranular cracks on the stress intensity factors associated with cracks that emanate from small naturally occurring material discontinuities at the hole and then on the reduction in the time for a crack at a hole, with multi-layer intergranular cracking, to grow to a size where it will be readily detectable.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Fußnoten
1
Australian P3C aircraft are now referred to as AP3C.
 
2
This equation can be considered as a special case of the Nasgro equation [12], see Appendix.
 
3
FCA-301 corresponds to a location at the lower front spar adjacent to the wing root of the P-3C aircraft and FCA-351 and FCA-361 represent locations at the lower front spar inboard and outboard areas near the inboard engine respectively, see [1, 2] for more details. Location FCA-301 experiences mainly tension-dominated loading with a mean R≈0.11, whilst FCA-351 and FCA-361 experience a high degree of compressive loading. For FCA-361 the mean value of the R ratio is less than −0.55, see [3] for more details.
 
4
The link between Eq. (1) and the Nasgro equation [12] is discussed in the Appendix.
 
5
The crack growth equations presented in [2024] are similar in that they relate da/dN to (ΔK−ΔK th)2, see [5] for more details.
 
6
In [5, 7, 9, 17] it was explained that the term ΔK thr should not be confused with the term ΔK th, which the ASTM 647 test standard suggests (somewhat arbitrarily) to be the value of ΔK at a crack growth rate, da/dN, of 10−10 m/cycle.
 
7
Here the term small is defined as in ASTM E647 and the term long is as per the USAF Damage Tolerance Design Handbook [25].
 
8
An advantage of the weight function approach, which is also used in the crack growth program AFGROW, is that to obtain accurate solutions we only need to have an accurate stress solution.
 
9
This (initiating defect) size is consistent with the work of Merati [29], where it was found that the size of initial defects in civil transport aircraft lie in the range 0.009 to 0.029 mm and with the paper by Schijve [30] where it was reported that the size of initial defects in civil transport aircraft lie in the range 0.007 to 0.030 mm.
 
10
As previously mentioned fatigue critical locations FCA-351 and FCA-361 represent locations at the lower front spar inboard and outboard areas near the inboard engine respectively, see [1, 2].
 
11
The purpose of introducing the term ΔK eff was to collapse the various R ratio da/dN versus ΔK curves onto a single da/dN versus ΔK eff curve.
 
12
The value of p is often approximately 2 [5, 710, 1315].
 
13
A value of λ=11 mm−1 is reported by Berretta et al. [16] for the growth of small cracks in a mild steel. A similar value was used in [9] for the growth of cracks from small naturally occurring material discontinuities in 7050-T7451.
 
Literatur
2.
Zurück zum Zitat Iyyer NS, Kwon YS, Phan N (2003) P3C crack growth life predictions under spectrum loading. In: International committee on aeronautic fatigue, Lucerne, Switzerland, 5–9 May 2003 Iyyer NS, Kwon YS, Phan N (2003) P3C crack growth life predictions under spectrum loading. In: International committee on aeronautic fatigue, Lucerne, Switzerland, 5–9 May 2003
3.
Zurück zum Zitat Iyyer NS, Sarkar S, Merrill R, Phan N (2007) Aircraft life management using crack initiation and crack growth models—p-3C aircraft experience. Int J Fatigue 29:1584–1607 CrossRefMATH Iyyer NS, Sarkar S, Merrill R, Phan N (2007) Aircraft life management using crack initiation and crack growth models—p-3C aircraft experience. Int J Fatigue 29:1584–1607 CrossRefMATH
4.
Zurück zum Zitat Veul R, Ubels L (2003) Results of the FMS spectra coupon test program performed within the framework of the P-3C service life assessment program. NLR, Amsterdam, p 163 Veul R, Ubels L (2003) Results of the FMS spectra coupon test program performed within the framework of the P-3C service life assessment program. NLR, Amsterdam, p 163
5.
Zurück zum Zitat Jones R, Tamboli D (2013) Implications of the lead crack philosophy and the role of short cracks in combat aircraft. Eng Fail Anal 29:149–166 CrossRef Jones R, Tamboli D (2013) Implications of the lead crack philosophy and the role of short cracks in combat aircraft. Eng Fail Anal 29:149–166 CrossRef
6.
Zurück zum Zitat Hartman A, Schijve J (1970) The effects of environment and load frequency on the crack propagation law for macro fatigue crack growth in aluminum alloys. Eng Fract Mech 1(4):615–631 CrossRef Hartman A, Schijve J (1970) The effects of environment and load frequency on the crack propagation law for macro fatigue crack growth in aluminum alloys. Eng Fract Mech 1(4):615–631 CrossRef
7.
Zurück zum Zitat Jones R, Molent L, Walker K (2012) Fatigue crack growth in a diverse range of materials. Int J Fatigue 40:43–50 CrossRef Jones R, Molent L, Walker K (2012) Fatigue crack growth in a diverse range of materials. Int J Fatigue 40:43–50 CrossRef
8.
Zurück zum Zitat Jones R, Pitt S, Brunner AJ, Hui D (2012) Application of the Hartman-Schijve equation to represent mode I and mode II fatigue delamination growth in composites. Compos Struct 94(4):1343–1351 CrossRef Jones R, Pitt S, Brunner AJ, Hui D (2012) Application of the Hartman-Schijve equation to represent mode I and mode II fatigue delamination growth in composites. Compos Struct 94(4):1343–1351 CrossRef
9.
Zurück zum Zitat Jones R, Molent L, Barter S (2013) Calculating crack growth from small discontinuities in 7050-T7451 under combat aircraft spectra. Int J Fatigue 55:178–182 CrossRef Jones R, Molent L, Barter S (2013) Calculating crack growth from small discontinuities in 7050-T7451 under combat aircraft spectra. Int J Fatigue 55:178–182 CrossRef
10.
Zurück zum Zitat Tan JT, Chen BK (2013) A new method for modeling the coalescence and growth of two coplanar short cracks of varying lengths in AA7050-T7451 aluminium alloy. Int J Fatigue 49:73–78 CrossRef Tan JT, Chen BK (2013) A new method for modeling the coalescence and growth of two coplanar short cracks of varying lengths in AA7050-T7451 aluminium alloy. Int J Fatigue 49:73–78 CrossRef
11.
Zurück zum Zitat Peng D, Jones R, Constable T (2013) Tools and methods for addressing the durability of rolling stock. Eng Fail Anal 34:278–289 CrossRef Peng D, Jones R, Constable T (2013) Tools and methods for addressing the durability of rolling stock. Eng Fail Anal 34:278–289 CrossRef
12.
Zurück zum Zitat Forman RG, Mettu SR (1992) Behavior of surface and corner cracks subjected to tensile and bending loads in Ti-6Al-4V alloy. In: Ernst HA, Saxena A, McDowell DL (eds) Fracture mechanics 22nd symposium, vol 1, ASTM STP 1131. American Society for Testing and Materials, Philadelphia Forman RG, Mettu SR (1992) Behavior of surface and corner cracks subjected to tensile and bending loads in Ti-6Al-4V alloy. In: Ernst HA, Saxena A, McDowell DL (eds) Fracture mechanics 22nd symposium, vol 1, ASTM STP 1131. American Society for Testing and Materials, Philadelphia
13.
Zurück zum Zitat McEvily AJ, Eifler D, Macherauch E (1991) An analysis of the growth of short fatigue cracks. Eng Fract Mech 40:571–584 CrossRef McEvily AJ, Eifler D, Macherauch E (1991) An analysis of the growth of short fatigue cracks. Eng Fract Mech 40:571–584 CrossRef
14.
Zurück zum Zitat Endo M, McEvily AJ (2007) Prediction of the behaviour of small fatigue cracks. Mater Sci Eng A 468–470:51–58 CrossRef Endo M, McEvily AJ (2007) Prediction of the behaviour of small fatigue cracks. Mater Sci Eng A 468–470:51–58 CrossRef
15.
Zurück zum Zitat Kondo Y, Endo M, McEvily AJ (2008) Short crack growth behavior and its relation to notch sensitivity and VHCF. In: Proceeding 17th European conference on fracture, Brno, Czech Republic, 2nd–5th September, pp 159–167 Kondo Y, Endo M, McEvily AJ (2008) Short crack growth behavior and its relation to notch sensitivity and VHCF. In: Proceeding 17th European conference on fracture, Brno, Czech Republic, 2nd–5th September, pp 159–167
16.
Zurück zum Zitat Beretta S, Carboni M, Madia M (2009) Modelling of fatigue thresholds for small cracks in a mild steel by “strip-yield” model. Eng Fract Mech 76:1548–1561 CrossRef Beretta S, Carboni M, Madia M (2009) Modelling of fatigue thresholds for small cracks in a mild steel by “strip-yield” model. Eng Fract Mech 76:1548–1561 CrossRef
17.
Zurück zum Zitat Zheng X, Hirt M (1983) Fatigue crack propagation in steels. Eng Fract Mech 18. 5:965–973 Zheng X, Hirt M (1983) Fatigue crack propagation in steels. Eng Fract Mech 18. 5:965–973
18.
Zurück zum Zitat Kim S, Burns JT, Gangloff RP (2009) Fatigue crack formation and growth from localized corrosion in Al–Zn–Mg–Cu. Eng Fract Mech 76:651–667 CrossRef Kim S, Burns JT, Gangloff RP (2009) Fatigue crack formation and growth from localized corrosion in Al–Zn–Mg–Cu. Eng Fract Mech 76:651–667 CrossRef
19.
Zurück zum Zitat Li D, Burns J, Bush R, Garratt M, Hinkle A, Mills T, Marks C, Moran J, Scully J, Gangloff RP (2005) Characterization of corrosion-fatigue interaction for aluminum alloy substitution. In: Young RD (ed) Proceedings of the 8th joint NASA/FAA/DoD conference on aging aircraft. Web site publication: www.JCAA.US/AA_Conference2005 Li D, Burns J, Bush R, Garratt M, Hinkle A, Mills T, Marks C, Moran J, Scully J, Gangloff RP (2005) Characterization of corrosion-fatigue interaction for aluminum alloy substitution. In: Young RD (ed) Proceedings of the 8th joint NASA/FAA/DoD conference on aging aircraft. Web site publication: www.​JCAA.​US/​AA_​Conference2005
20.
Zurück zum Zitat Liu HW, Liu D (1984) A quantitative analysis of structure sensitive fatigue crack growth in steels. Scr Metall 18:7–12 CrossRef Liu HW, Liu D (1984) A quantitative analysis of structure sensitive fatigue crack growth in steels. Scr Metall 18:7–12 CrossRef
21.
Zurück zum Zitat Ramsamooj DV (2003) Analytical prediction of short to long fatigue crack growth rate using small- and large-scale yielding fracture mechanics. Int J Fatigue 2:923–933 CrossRef Ramsamooj DV (2003) Analytical prediction of short to long fatigue crack growth rate using small- and large-scale yielding fracture mechanics. Int J Fatigue 2:923–933 CrossRef
22.
Zurück zum Zitat Pandey KN, Chand S (2004) Fatigue crack growth model for constant amplitude loading. Fatigue Fract Eng Mater Struct 27(6):459–472 CrossRef Pandey KN, Chand S (2004) Fatigue crack growth model for constant amplitude loading. Fatigue Fract Eng Mater Struct 27(6):459–472 CrossRef
23.
Zurück zum Zitat Liu Y-P, Chen C-Y, Guo Q (2012) Fatigue crack growth and control of 14MnNbq welding plates used for bridges. J Eng Mech 138:30–35 CrossRef Liu Y-P, Chen C-Y, Guo Q (2012) Fatigue crack growth and control of 14MnNbq welding plates used for bridges. J Eng Mech 138:30–35 CrossRef
24.
Zurück zum Zitat Xiang Y, Lu Z, Liu Y (2010) Crack growth-based fatigue life prediction using an equivalent initial flaw model. Part I: uniaxial loading. Int J Fatigue 32:341–349 CrossRef Xiang Y, Lu Z, Liu Y (2010) Crack growth-based fatigue life prediction using an equivalent initial flaw model. Part I: uniaxial loading. Int J Fatigue 32:341–349 CrossRef
25.
Zurück zum Zitat Newman JC, Jordon JB, Anagnostou EL, Fridline D, Rusk D (2008) Fatigue and crack-growth analyses on specimens simulating details in wing panels of naval aircraft. In: 11th joint NASA/FAA/DOD conference on aging aircraft, Phoenix, Arizona, USA Newman JC, Jordon JB, Anagnostou EL, Fridline D, Rusk D (2008) Fatigue and crack-growth analyses on specimens simulating details in wing panels of naval aircraft. In: 11th joint NASA/FAA/DOD conference on aging aircraft, Phoenix, Arizona, USA
26.
Zurück zum Zitat Elber W (1971) The significance of fatigue crack closure, damage tolerance in aircraft structures. In: ASTM STP, vol 486. American Society for Testing and Materials, Philadelphia, pp 230–242 Elber W (1971) The significance of fatigue crack closure, damage tolerance in aircraft structures. In: ASTM STP, vol 486. American Society for Testing and Materials, Philadelphia, pp 230–242
27.
Zurück zum Zitat Ritchie RO, Yu W, Blom AF, Holm DK (1987) An analysis of crack tip shielding in aluminium alloy 2124: a comparison of large, small through-crack and surface fatigue cracks. Fatigue Fract Eng Mater Struct 10(5):343–363 CrossRef Ritchie RO, Yu W, Blom AF, Holm DK (1987) An analysis of crack tip shielding in aluminium alloy 2124: a comparison of large, small through-crack and surface fatigue cracks. Fatigue Fract Eng Mater Struct 10(5):343–363 CrossRef
28.
Zurück zum Zitat Molent L, Barter SA, Wanhill RJH (2011) The lead crack fatigue lifing framework. Int J Fatigue 33:323–331 CrossRef Molent L, Barter SA, Wanhill RJH (2011) The lead crack fatigue lifing framework. Int J Fatigue 33:323–331 CrossRef
29.
Zurück zum Zitat Merati A (2005) A study of nucleation and fatigue behavior of an aerospace aluminum alloy 2024-T3. Int J Fatigue 27:33–44 CrossRef Merati A (2005) A study of nucleation and fatigue behavior of an aerospace aluminum alloy 2024-T3. Int J Fatigue 27:33–44 CrossRef
30.
Zurück zum Zitat Schijve J (1994) Fatigue life until small cracks in aircraft structures: durability and damage tolerance. In: Harris CE (ed) Proceedings FAA/NASA international symposium. Advanced structural integrity methods for airframe durability and damage tolerance, vol 3274, pp 665–681. NASA conference publication, Hampton Schijve J (1994) Fatigue life until small cracks in aircraft structures: durability and damage tolerance. In: Harris CE (ed) Proceedings FAA/NASA international symposium. Advanced structural integrity methods for airframe durability and damage tolerance, vol 3274, pp 665–681. NASA conference publication, Hampton
31.
Zurück zum Zitat Jones R, Peng D, Pitt S, Wallbrink C (2004) Weight functions, CTOD, and related solutions for cracks at notches. Eng Fail Anal 11(1):36–79 Jones R, Peng D, Pitt S, Wallbrink C (2004) Weight functions, CTOD, and related solutions for cracks at notches. Eng Fail Anal 11(1):36–79
32.
Zurück zum Zitat Peng D, Wallbrink C, Jones R (2005) Stress intensity factor solutions for finite body with quarter-elliptical flaws emanating from a notch. Eng Fract Mech 72(9):1329–1335 CrossRef Peng D, Wallbrink C, Jones R (2005) Stress intensity factor solutions for finite body with quarter-elliptical flaws emanating from a notch. Eng Fract Mech 72(9):1329–1335 CrossRef
33.
Zurück zum Zitat Wallbrink C, Peng D, Jones R (2005) Assessment of partly circumferential cracks in pipes. Int J Fract 133(2):167–175 CrossRefMATH Wallbrink C, Peng D, Jones R (2005) Assessment of partly circumferential cracks in pipes. Int J Fract 133(2):167–175 CrossRefMATH
34.
Zurück zum Zitat Pitt S, Jones R, Atluri SN (1999) Further studies into interacting 3D cracks. Comput Struct 70:583–597 CrossRefMATH Pitt S, Jones R, Atluri SN (1999) Further studies into interacting 3D cracks. Comput Struct 70:583–597 CrossRefMATH
35.
Zurück zum Zitat Pitt S, Jones R (1997) Multiple-site and widespread fatigue damage in aging aircraft. Eng Fail Anal 4(4):237–257 CrossRef Pitt S, Jones R (1997) Multiple-site and widespread fatigue damage in aging aircraft. Eng Fail Anal 4(4):237–257 CrossRef
36.
Zurück zum Zitat Jones R, Hammond S, Williams JF, Heller M (1995) A numerical study of MSD in aluminium alloys. J Comput Struct 55(1):177–183 CrossRef Jones R, Hammond S, Williams JF, Heller M (1995) A numerical study of MSD in aluminium alloys. J Comput Struct 55(1):177–183 CrossRef
37.
Zurück zum Zitat Jones R, Atluri SN, Hammond S, Williams JF (1995) Developments in the analysis of interacting cracks. J Eng Fail Assess 2(4):307–320 CrossRef Jones R, Atluri SN, Hammond S, Williams JF (1995) Developments in the analysis of interacting cracks. J Eng Fail Assess 2(4):307–320 CrossRef
38.
Zurück zum Zitat Sih GC (1973) Handbook of stress intensity factors. Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem Sih GC (1973) Handbook of stress intensity factors. Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem
Metadaten
Titel
A study into the interaction of intergranular cracking and cracking at a fastener hole
verfasst von
R. Jones
M. Lo
D. Peng
A. Bowler
M. Dorman
M. Janardhana
N. S. Iyyer
Publikationsdatum
01.02.2015
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 2/2015
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-013-9849-x

Weitere Artikel der Ausgabe 2/2015

Meccanica 2/2015 Zur Ausgabe

Experimental Solid Mechanics

Preface

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.