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Factor of a Crack Perpendicular to the Welding Bead. Engineering Fracture Mechanics . 8(3), 441 - 444. Tada, H. & Paris, P.C. (1983). The Stress Intensity Factor for a Crack Perpendicular to the Welding Bead. International Journal of Fracture . 21(2), 279 - 284. Kanazawa, T., Oba, H. & Susei, S. (1962). The Effect of Welding Residual Stress Upon Brittle Fracture Propagation (Rept. 2). Transactions of Japan Society of Naval Architects . No. 110, 359 - 368. Terada, H. & Nakajima, T. (1985). Analysis of Stress Intensity Factor of a Crack Approaching Welding Bead

Abstract

In this paper it is analyzed the welded T-joint exposed to the axial tensile force and the bending moment, for determining the impact of the weld geometry on the fracture mechanics parameters. The stress intensity factor was calculated analytically, based on the concept of the linear elastic fracture mechanics (LEFM), by application of the Mathematica® programming routine. The presence of the weld was taken into account through the corresponding correction factors. The results show that increase of the size of the triangular welds leads to decrease of the stress intensity factor, while the SIF increases with increase of the welds’ width. The ratio of the two welded plates’ thicknesses shows that plate thicknesses do not exhibit significant influence on the stress intensity factor behavior.

References 1. J.M. Etheridge, J.W. Dally, A Critical Review of Methods for Determining Stress-Intensity Factors from Isochromatic Fringes, Experimental Mechanics, Vol. 17, No. 7, pp. 248-254, (1977). 2. G.R. Irwin, Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate, Journal of Applied Mechanics, Vol. 24, pp. 361-364, (1957). 3. W.B. Bradley, A.S. Kobayashi, An Investigation of Propagating Cracks by Dynamic Photoelasticity, Experimental Mechanics, Vol. 10, No. 3, pp. 106-113, (1970). 4. M.A. Schroedel, C.W. Smith, Local Stresses Near Deep

the ASME, Vol. 112, 382-391. 11. Goshima T., Soda T. (1997), Stress Intensity Factors of a Subsurface Crack in a Semi-Infinite Body Due to Rolling/Sliding Contact and Heat Generation, JSME International Journal Series A 40, 263-270. 12. Guler M.A., Erdogan F. (2007), Frictional Sliding Contact Problems of Rigid Parabolic and Cylindrical Stamps on Graded Coatings, International Journal of Mechanical Sciences , Vol. 49, 161-182, 13. Hasebe N. (1981), An Edge Crack in a Semi-Infinite Plate Welded to a Rigid Stiffener, Proc. Jap. Civ. Eng. , Vol. 314, 149

1 Introduction The analysis of the stress distribution and the calculation of stress intensity factor to a U-notched specimen have been widely studied with many different methods. But less attention has been paid to the study of a mixed mode fracture. More than 60 years ago, the stress intensity factor SIF for an infinite plane has been studied by Irwin [ 8 ]. The SIF describes the stress state at a crack tip, is related to the rate of crack growth, and is used to establish failure criteria due to fracture. The stress intensity concept is based on the parameter

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interaction of two offset interfacial cracks in bonded dissimilar half-planes with a functionally graded interlayer, Acta Mechanica , 225(7),2111–2131. 5. Elfakhakhre N.R.F., Nik L., Eshkuvatov N.M.A. (2017), Stress intensity factor for multiple cracks in half plane elasticity, AIP Conference , 1795(1). 6. Erdogan F., Gupta B.D., Cook T.S. (1973), The numerical solutions of singular integral equations, Methods of analysis and solutions of crack problems. Leyden: Noordhoff Intern. publ ., 368-425. 7. Havrysh V.I. (2015), Nonlinear boundary-value problem of heat

., Analiza rozwoju pęknięć zmęczeniowych w klapach zaskrzydłowych samolotu Mig-21 . Informator ITWL, Nr 70, pp.147-160, 1989. [5] Bukowski, L., Kłysz, S., Badanie współczynnika intensywności naprężeń dla klapy zaskrzydłowej samolotu Mig-21 . Informator ITWL, Nr 70, pp. 135-146, 1989. [6] Cartwright, D. J., Rook, D. F., Evaluation of stress intensity factor. J. of Strain Analysis, Vol.10, No 4, 1975. [7] Goss, Cz., Leśniewski, J., Kłysz, S., The propagating fatigue crack length estimation based on the crack opening at the specimen edge measurement results. 8 Int. Conf

REFERENCES [1] Anlas G, Santare M.H., Lambros J., Numerical calculation of stress intensity factors in functionally graded materials, Int. J. Fract, 104 (2000) 131-143. [2] Rao B.N., Rahman S., Mesh-free analysis of cracks in isotropic functionally graded materials,Eng.Fract. Mech, 70(2003) 1-27. [3] Kim J.H., Paulino G.H., Mixed-mode fracture of orthotropic functionally graded materials using finite elements and the modified crack closure method,Eng.Fract. Mech, 69 (2002) 1557-1586. [4] Kim J.H., Paulino G.H., Mixed-mode J-integral formulation and

REFERENCES 1. Chattopadhyay A, Glinka G, El-Zein M, Qian J, Formas R. (2011), Stress analysis and fatigue of welded structures, Weld World , 55(7–8), 2–21. 2. Chung HY., Liu SH., Lin RS., Ju SH. (2008), Assessment of stress intensity factors for load-carrying fillet welded cruciform joints using a digital camera, Int. Journal of Fatigue , 30(10–11), 1861-1872. 3. Dong P. (2001), A structural stress definition and numerical implementation for fatigue analysis of welded joints, Int. Journal of Fatigue , 23(10), 865–876. 4. European Committee for