Abstract
Weld bead geometry cannot, by its nature, be precisely defined. Parameters such as bead shape and toe radius vary from joint to joint even in well-controlled manufacturing operations. In the present paper the weld toe region is modelled as a sharp, zero radius, V-shaped notch and the intensity of asymptotic stress distributions obeying Williams’ solution are quantified by means of the Notch Stress Intensity Factors (NSIFs). When the constancy of the angle included between weld flanks and main plates is assured and the angle is large enough to make mode II contribution non-singular, mode I NSIF can be directly used to summarise the fatigue strength of welded joints having very different geometry. By using a large amount of experimental data taken from the literature and related to a V-notch angle of 135°, two NSIF-based bands are reported for steel and aluminium welded joints under a nominal load ratio about equal to zero. A third band is reported for steel welded joints with failures originated from the weld roots, where the lack of penetration zone is treated as a crack-like notch and units for NSIFs are the same as conventional SIF used in LEFM. Afterwards, in order to overcome the problem related to the variability of the V-notch opening angle, the synthesis is made by simply using a scalar quantity, i.e. the mean value of the strain energy averaged in the structural volume surrounding the notch tips. This energy is given in closed form on the basis of the relevant NSIFs for modes I and II and the radius RC of the averaging zone is carefully identified with reference to conventional arc welding processes. RC for welded joints made of steel and aluminium considered here is 0.28 mm and 0.12 mm, respectively. Different values of RC might characterise welded joints obtained from high-power processes, in particular from automated laser beam welding. The local-energy based criterion is applied to steel welded joints under prevailing mode I (with failures both at the weld root and toe) and to aluminium welded joints under mode I and mixed load modes (with mode II contribution prevailing on that ascribable to mode I). Surprising, the mean value of ΔW related to the two groups of welded materials was found practically coincident at 2 million cycles. More than 750 fatigue data have been considered in the analyses reported herein.
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References
Atzori, B. and Dattoma, V. (1983). A comparison of the fatigue behaviour of welded joints in steels and in aluminium alloys. IIW Doc XXXIII-1089-1983.
Atzori, B. (1985). Notch effect or Linear Elastic Fracture Mechanics in fatigue design. Proceedings XIII Congress of Italian Society for Strain Analysis Bergamo, Italy, AIAS ed.
B. Atzori P. Lazzarin R. Tovo (1999a) ArticleTitleFrom the local stress approach to fracture mechanics: a comprehensive evaluation of the fatigue strength of welded joints Fatigue and Fracture of Engineering Materials and Structures 22 369–382 Occurrence Handle10.1046/j.1460-2695.1999.00179.x Occurrence Handle1:CAS:528:DyaK1MXkvFent70%3D
B. Atzori P. Lazzarin R. Tovo (1999b) ArticleTitleStress field parameters to predict the fatigue strength of notched components Jounal of Strain Analysis 34 437–453 Occurrence Handle10.1243/0309324991513876
B. Atzori G. Meneghetti L. Susmel (2002) ArticleTitleEstimation of the fatigue strength of light alloy welds by an equivalent notch stress analysis International Journal of Fatigue 24 591–599 Occurrence Handle10.1016/S0142-1123(01)00113-X Occurrence Handle1:CAS:528:DC%2BD38Xhs1yntLk%3D
V. Balasubramanian B. Guha (1998) ArticleTitleInfluence of flux cored arc welded cruciform joint dimensions on fatigue life of ASTM 517 F grade steels Internation Journal of Pressure Vessels and Piping 75 765–772 Occurrence Handle10.1016/S0308-0161(98)00080-5 Occurrence Handle1:CAS:528:DyaK1cXotFShtr4%3D
V. Balasubramanian B. Guha (1999a) ArticleTitleEffect of welded size on fatigue crack growth behaviour of cruciform joints by strain energy density factor approach Theoretical and Applied Fracture Mechanics 31 141–148 Occurrence Handle10.1016/S0167-8442(99)00008-7 Occurrence Handle1:CAS:528:DyaK1MXjsVahu7Y%3D
V. Balasubramanian B. Guha (1999b) ArticleTitleOptimising the shielded metal arc welded cruciform joint dimensions of ASTM 517 F grade steels containing LOP defects International Journal of Pressure Vessels and Piping 76 147–155 Occurrence Handle10.1016/S0308-0161(98)00119-7 Occurrence Handle1:CAS:528:DyaK1MXivVCntbg%3D
V. Balasubramanian B. Guha (1999c) ArticleTitleFatigue life prediction of shielded metal arc welded cruciform jonts containing LOP defects by a mathematical model International Journal of Pressure Vessels and Piping 76 283–290 Occurrence Handle10.1016/S0308-0161(98)00137-9 Occurrence Handle1:CAS:528:DyaK1MXjtVahs7k%3D
T. Boukharouba T. Tamine L. Nui C. Chehimi G. Pluvinage (1995) ArticleTitleThe use of notch stress intensity factor as a fatigue crack initiation parameter Engineering Fracture Mechanics 52 503–512 Occurrence Handle10.1016/0013-7944(94)00242-A
British Standard Institution. Guidance on method for the acceptance of flaws in structures. PD 6493, BS 7910, Appendix J; 2001.
M.L. Dunn W. Suwito S. Cunningham (1997) ArticleTitleFracture initiation at sharp notches: Correlation using critical stress intensities International Journal of Solids and Structures 34 3873–3883 Occurrence Handle10.1016/S0020-7683(96)00236-3
M.H. El Haddad T.H. Topper K.N. Smith (1979) ArticleTitleFatigue crack propagation of short cracks” ASME, Journal of Engineering Materials and Technology 101 42–45
Engesvik, K. and Lassen, T. (1988). The effect of weld geometry on fatigue life. Proceedings of the 3rd International OMAE Conference, Houston, Texas, 440–446.
H. Frank J.W. Fisher (1979) ArticleTitleFatigue strength of fillet welded cruciform joints ASCE, Journal of the Structural Division 20 1727–1740
G. Glinka (1985) ArticleTitleEnergy density approach to calculation of inelastic strain-stress near notches and cracks Engineering Fracture Mechanics 22 485–508 Occurrence Handle10.1016/0013-7944(85)90148-1
F.J. Gòmez M. Elices (2003) ArticleTitleA fracture criterion for sharp V-notched samples Internation Journal of Fracture 123 163–175 Occurrence Handle10.1023/B:FRAC.0000007374.80996.a2
F.J. Gòmez M. Elices (2004) ArticleTitleA fracture criterion for blunted V-notched samples Internation Journal of Fracture 127 239–264 Occurrence Handle10.1023/B:FRAC.0000036832.29429.21
R. Gross A. Mendelson (1972) ArticleTitlePlane elastostatic analysis of V-notched plates International Journal of Fracture Mechanics 8 267–276
B. Guha (1995) ArticleTitleA new fracture mechanics method to predict the fatigue life of welded cruciform joints Engineering Fracture Mechanics 52 215–229 Occurrence Handle10.1016/0013-7944(95)00004-F
TR. Gurney (1991) The Fatigue Strength of Transverse Fillet Welded Joints Abington Publishing Cambridge
TR. Gurney (1997) Fatigue of Thin Walled Joints Under Complex Loading Abington Publishing Cambridge
Gustafsson, M. (2002). Thickness effect in fatigue of welded extra high strength steel joints, In: Design and analysis welded high strength steel structures (Ed. J. Samuelsson), Fatigue, 205–224.
A. Hadrboletz B. Weiss G. Khatibi (2001) ArticleTitleFatigue and fracture properties of thin metallic foils Internation Journal of Fracture 109 69–89 Occurrence Handle10.1023/A:1010931414732 Occurrence Handle1:CAS:528:DC%2BD3MXkslOhtr8%3D
Haibach, E. (1989). Service Fatigue-Strength – Methods and data for structural analysis. Dusseldorf, VDI, 1992.
V. Infante M. Branco R. Martins (2003) ArticleTitleA fracture mechanic analysis on the fatigue behaviour of cruciform joints of duplex stainless steel Fatigue and Fracture of Engineering Materials and Structures 26 791–810 Occurrence Handle10.1046/j.1460-2695.2003.00681.x Occurrence Handle1:CAS:528:DC%2BD3sXos1Wrs7s%3D
Y. Jiang M. Feng (2004) ArticleTitleModeling of fatigue crack propagation Journal of Engineering Materials and Technology 126 77–86 Occurrence Handle10.1115/1.1631026 Occurrence Handle1:CAS:528:DC%2BD2cXmslCqtg%3D%3D
Jacoby, G. (1961). Über das verhalten von schweissverbindungen aus aluminiumlegierungen bei schwingbeanspruchung. Dissertation, Technische Hochschule, Hannover.
S. Kihara A. Yoshii (1991) ArticleTitleA strength evaluation method of a sharply notched structure by a new parameter, “The Equivalent Stress Intensity Factor” JSME International Journal 34 70–75
D.P. Kihl S. Sarkani (1997) ArticleTitleThickness effects on the fatigue strength of welded steel cruciforms Internation Journal of Fatigue 19 S311–S316 Occurrence Handle10.1016/S0142-1123(97)00041-8 Occurrence Handle1:CAS:528:DyaK1cXhsVGgtrk%3D
D.P. Kihl S. Sarkani (1999) ArticleTitleMean stress effects in fatigue of welded steel joints Probabilistic Engineering Mechanics 14 97–104 Occurrence Handle10.1016/S0266-8920(98)00019-8
Kloppel, K. and Weihermuller, H. (1959). Dauerfestigkeitsversuche mit schweissuerbindindungen stabarschlussen. Stahlbau5, 149–155. ESDU 75016.
T. Lassen (1990) ArticleTitleThe effect of the welding process on the fatigue crack growth Welding Journal 69 75S–81S Occurrence Handle1:CAS:528:DyaK3cXhsVentro%3D
P. Lazzarin R. Tovo (1996) ArticleTitleA unified approach to the evaluation of linear elastic fields in the neighbourhood of cracks and notches International Journal of Fracture 78 3–19 Occurrence Handle10.1007/BF00018497
P. Lazzarin V. Milani M. Quaresimin (1997) ArticleTitleScatter bands summarizing the fatigue properties of symmetric splice bolted joints in light alloy Internation Journal of Fatigue 19 401–407 Occurrence Handle10.1016/S0142-1123(96)00057-6 Occurrence Handle1:CAS:528:DyaK2sXmvFaru74%3D
P. Lazzarin R. Tovo (1998) ArticleTitleA notch intensity approach to the stress analysis of welds Fatigue and Fracture of Engineering Materials and Structure 21 1089–1104 Occurrence Handle10.1046/j.1460-2695.1998.00097.x Occurrence Handle1:CAS:528:DyaK1MXivV2jtA%3D%3D
P. Lazzarin P. Livieri (2001) ArticleTitleNotch stress intensity factors and fatigue strength of aluminium and steel welded joints International Journal of Fatigue 23 225–232 Occurrence Handle10.1016/S0142-1123(00)00086-4 Occurrence Handle1:CAS:528:DC%2BD3MXhtFSnsLk%3D
P. Lazzarin R. Zambardi P Livieri (2001) ArticleTitlePlastic notch stress intensity factors for large V-shaped notches under mixed load conditions International Journal of Fracture 107 361–377 Occurrence Handle10.1023/A:1007633612060
P. Lazzarin R. Zambardi (2001) ArticleTitleA finite-volume-energy based approach to predict the static and fatigue behaviour of components with sharp V-shaped notches International Journal of Fracture 112 275–298 Occurrence Handle10.1023/A:1013595930617
P. Lazzarin R. Zambardi (2002) ArticleTitleThe equivalent strain energy density approach reformulated and applied to sharp V-shaped notches under localised and generalised plasticity Fatigue and Fracture of Engineering Materials and Structure 25 917–928 Occurrence Handle10.1046/j.1460-2695.2002.00543.x
P. Lazzarin T. Lassen P. Livieri (2003) ArticleTitleA notch stress intensity approach applied to fatigue life predictions of welded joints with different local toe geometry Fatigue and Fracture of Engineering Materials and Structures 26 49–58
P. Lazzarin C.M. Sonsino R. Zambardi (2004) ArticleTitleA notch stress intensity approach to predict the fatigue behaviour of T butt welds between tube and flange when subjected to in–phase bending and torsion loading Fatigue and Fracture of Engineeering Materials and Structures 27 127–141 Occurrence Handle10.1111/j.1460-2695.2004.00733.x Occurrence Handle1:CAS:528:DC%2BD2cXitlaitb4%3D
Lawrence, F.V., Mattos, R.J., Higashida, Y. and Burk, J.D. (1978). Estimating the fatigue crack initiation life at welds. In: Fatigue Testing of Weldments, ASTM STP 648. ASTM, Philadelphia, 134–158.
G. Lin X.G. Meng A. Cornec K.H. Schwalbe (1999) ArticleTitleThe effect of strength mis-match on mechanical performance of weld joints International Journal of Fracture 96 37–54 Occurrence Handle10.1023/A:1018692718678
K.A. Macdonald P.J. Haagensen (1999) ArticleTitleFatigue design of welded aluminium rectangular hollow section joints Engineering Failure Analysis 6 113–130 Occurrence Handle10.1016/S1350-6307(98)00025-9 Occurrence Handle1:CAS:528:DyaK1MXisFahsrw%3D
D.S. Macfarlane J.D. Harrison (1995) ArticleTitleSome fatigue tests on load-carrying tranverse fillet welds British Welding Journal 12 613–623
S.J. Maddox (1987) The Effect of Plate Thickness on the Fatigue Strength of Fillet Welded Joints Abington Publishing Abington, Cambridge
Maddox, S.J. (1995). Scale effect in fatigue of fillet welded aluminium alloys. Proceedings of the Sixth International Conference on Aluminium Weldments, Cleveland, Ohio, 77–93.
Meneghetti, G. (1998). PhD Thesis, University of Padova.
Ouchida, H. and Nishioka, A. (1966). A study of fatigue strength of fillet welded joints. Schweisstechnic 16, 150-157. (English translation: International Institute of Welding, Document XIII Series, N° 338, 1964). ESDU 75016.
Ohno, H. (1985). Improvement of fatigue strength of alluminium alloy welded joints by toe peening. Welding Institute of Japan Collected Paper Vol. 3. ESDU 91039.
N.L. Person (1971) ArticleTitleFatigue of aluminium alloy welded joints Welding Research Supplement 50 77s–87s
D. Radaj (1990) Design and Analysis of Fatigue Resistant Welded Structures Abington Publishing Cambridge
D. Radaj C.M. Sonsino (1998) Fatigue Assessment of Welded Joints by Local Approaches Abington Publishing Cambridge
Riberio A.S., Gonçalves J.P., Oliveria F., Castro P.T. and Fernandes A.A. (1995). A compartive study on the fatigue behaviour of aluminium alloy welded and bonded Joints. Proceeding of the Sixth International Conference on Aluminium Weldments, Cleveland, Ohio, 65–76.
Ribeiro A.S., Gonçalves J.P., Oliveira F., Castro P.T., Fernandes A.A. (1995). A comparative study on the fatigue behaviour of aluminium alloy welded and bounded Joints. Proc. Sixth Int. Conference on Aluminium Weldments, Cleveland, Ohio, 65–76.
A. Seweryn S. Poskrobko Z. Mròz (1997) ArticleTitleBrittle fracture in plane elements with sharp notches under mixed-mode loading Journal of Engineering Mechanics 123 535–543 Occurrence Handle10.1061/(ASCE)0733-9399(1997)123:6(535)
S.D. Sheppard (1991) ArticleTitleField effects in fatigue crack initiation: long life fatigue strength’, Trans ASME, J Mechanical Design 113 188–194
P.J. Singh D.R.G. Achar B. Guha H. Nordberg (2003a) ArticleTitleFatigue life prediction of gas tungsten arc welded AISI 304L cruciform joints different LOP sizes International Journal of Fatigue 25 1–7 Occurrence Handle10.1016/S0142-1123(02)00067-1 Occurrence Handle1:CAS:528:DC%2BD38XnvF2ltLw%3D
P.J. Singh B. Guha D.R.G. Achar H. Nordberg (2003b) ArticleTitleFatigue life prediction improvement of AISI 304L cruciform welded joints by cryogenic treatment Engineering Failure Analysis 10 1–12 Occurrence Handle10.1016/S1350-6307(02)00033-X
C.M. Sonsino (1995) ArticleTitleMultiaxial fatigue of welded joints under in-phase and out-of-phase local strains and stresses International Journal of Fatigue 17 55–70 Occurrence Handle10.1016/0142-1123(95)93051-3 Occurrence Handle1:CAS:528:DyaK2MXlt1ejt7Y%3D
D. Taylor (1999) ArticleTitleGeometrical effects in fatigue: a unifying theoretical model International Journal of Fatigue 21 413–420 Occurrence Handle10.1016/S0142-1123(99)00007-9 Occurrence Handle1:CAS:528:DyaK1MXjvVKkurk%3D
D. Taylor N. Barrett G. Lucano (2002) ArticleTitleSome new recent methods for predicting fatigue in welded joints International Journal of Fatigue 24 509–518 Occurrence Handle10.1016/S0142-1123(01)00174-8
Y. Verreman B. Nie (1996) ArticleTitleEarly development of fatigue cracking at manual fillet welds Fatigue and Fracture of Engineering Materials and Structures 19 669–681 Occurrence Handle1:CAS:528:DyaK28XltF2htLs%3D
M.L. Williams (1952) ArticleTitleStress singularities resulting from various boundary conditions in angular corners of plates in extension Journal of Applied Mechanics 19 526–528
Yakubovskii V.V. and Valteris I.I. (1989). Geometrical parameters of butt and fillet welds and their influence on the welded joints fatigue life. International Institute of Welding, Document XIII-1326–89.
Yamaguchi I., Terada Y. and Nitta A. (1966). Fatigue strength of steels for whip structures. International Institute of Welding, Document XIII Series, No. 425. ESDU 75016.
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Livieri, P., Lazzarin, P. Fatigue strength of steel and aluminium welded joints based on generalised stress intensity factors and local strain energy values. Int J Fract 133, 247–276 (2005). https://doi.org/10.1007/s10704-005-4043-3
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DOI: https://doi.org/10.1007/s10704-005-4043-3