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Criterion for crack initiation from notch located at the interface of bi-material structure
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Faculty of Mechanical Engineering Bialystok University of Technology ul. Wiejska 45C, Poland
Publication date: 2019-06-30
Eksploatacja i Niezawodność – Maintenance and Reliability 2019;21(2):301-310
The fracture process of bi-material structure with the notch was analysed in this work. For fracture prediction, a criterion based on the Theory of Critical Distances was used. Under analysis were elements made of aluminium alloy and polymer combination (with a various structural notch-tip angle), which then were subjected to the three-point bending test. Values of critical loads resulting from the used hypothesis were compared with values obtained from the experiment. Validation of the selected criterion required defining a qualitative and quantitative description of singular stress fields present around the structural notch-tip area. Therefore, such solutions were obtained and methodology of their determining was discussed.
Ayatollahi M, Torabi A R. A criterion for brittle fracture in U-notched components under mixed mode loading. Engineering Fracture Mechanics 2009; 39: 1883–1896,
Baranowski P, Damaziak K, Małachowski J. Brake system studies using numerical methods, Eksploatacja i Niezawodnosc – Maintenance and Reliability 2013; 15 (4): 337–342.
Bogy D B, Wang K C. Stress singularities at interface corners in bonded dissimilar isotropic elastic materials. International Journal of Solids and Structures 1971; 1: 993-1005,
Byskov E. Calculation of stress intensity factors using finite element method with cracked elements. International Journal of Fracture Mechanics 1970; 6(2): 59-167,
Carpinteri A, Paggi M. Analytical study of the singularities arising at multi-material interfaces in 2D linear elastic problems. Engineering Fracture Mechanics 2007; 74: 59–74,
Griffith A A. The phenomena of rupture and flow in solids. Philosophical Transactions series A 1920; 221: 163-198,
Kinloch A J. Adhesion and adhesives, Science and Technology. London: Springer, 1987,
Kirsch G. Die theorie der elastizität und die bedürfnisse der festigkeitslehre. Verein deutscher Ingenieure Zeitschrift 1898; 29: 797-807.
Knesl Z, Klusak J, Nahlik L. Crack initiation criteria for singular stress concentrations, Part I: A Universal assessment of singular stress concentrations, Engineering Mechanics 2007; 14(6): 399–408.
Krishnan A, Xu L R. Systematic evaluation of bonding strengths and fracture toughnessess of adhesive joints. The Journal of Adhesion 2011; 87(1): 53–71,
Krishnan A, Xu LR. Experimental studies on the interaction among cracks, notches and interfaces of bonded polymers. International Journal of Solids and Structures 2013, 50: 1583–1596,
Krishnan A, Roy Xu L. An experimental study on the crack initiation from notches connected to interfaces of bonded bi-materials. Engineering Fracture Mechanics 2013; 111: 65–76,
Leguillon D. A criterion for crack nucleation at a notch in homogeneous materials. Comptes Rendus de l'Académie des Sciences - Series IIB – Mechanics 2001; 329(2): 97–102,
Li Y, Song M. Method to calculate stress intensity factor of V-notch in bi-materials. Acta Mechanica Solida Sinica 2008; 21(4): 337–346,
Łukaszewicz A. Nonlinear numerical model of heat generation in the rotary friction welding, Journal of Friction and Wear 2018; 39 (6): 612-619,
McClintock F A. Ductile fracture instability in shear. Journal of Applied Mechanics 1958; 25: 582-588.
Mieczkowski G. Description of stress fields and displacements at the tip of a rigid, flat inclusion located at interface using modified stress intensity factors. Mechanika 2015; 21(2): 91-98,
Mieczkowski G. Stress fields and fracture prediction for adhesively bonded bi-material structure with sharp notch located on the interface. Mechanics of Composite Materials 2017; 53(3): 305-320,
Mieczkowski G. Stress fields at the tip of a sharp inclusion on the interface. Mechanics of Composite Materials 2016; 52(5):601-610,
Naik R A, Crews J H. Determination of stress intensity factors for interface cracks under mixed-mode loading. Paper presented at the ASTM National Symposium on Fracture Mechanics, June 30-July 2,1992, Gatlinburg, TN.
Parton V ., Perlin P I. Mathematical methods of the theory of elasticity. Moscow: Mir Publishers, 1984.
Pirondi A, Nicoletto G. Fatigue crack growth in bonded DCB specimens. Engineering Fracture Mechanics 2004; 71(4–6): 859–871,
Ritchie R O, Knott J F, Rice J R. On the relation between critical tensile stress and fracture toughness in mild steel. Journal of the Mechanics and Physics of Solids 1973; 21: 395-410,
Rogowski G, Molski K L. The T-stress effect on the plastic zone size in a thin ductile material layer sandwiched between two elastic adherents. Engineering Fracture Mechanics 2016; 168 (A): 260-270.
Rudawska A, Dębski H. Experimental and numerical analysis of adhesively bonded aluminium alloy sheets joints. Eksploatacja i Niezawodnosc – Maintenance and Reliability 2011; 1: 4–10.
Savruk M P, Shkarayev S, Madenci E. Stress near apex of dissimilar material with bilinear behavior. Journal of Applied Fracture Mechanics 1999; 31: 203-212,
Seweryn A, Łukaszewicz A. Verification of fracture criteria of elements with V-shaped notches. Eksploatacja i Niezawodnosc –– Maintenance and Reliability 2001; 5: 6–8.
Seweryn A, Molski K. Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions. Engineering Fracture Mechanics 1996; 55: 529-556,
Sih G C. Strain-energy-density factor applied to mixed mode crack problems. International Journal of Fracture 1974; 10: 305-321,
Sih G C, Chen E P. Cracks in composite materials, Ch.3 (Mechanics of Fracture VI) ed. G. C. Sih. Hague: Martinus Nijhoff Publishers, 1981.
Sneddon I N. The distribution of stress in the neighbourhood of a crack in an elastic solid. Proceedings of the Royal Society of London A 1946;187(1009): 229-260,
Sun C T, Jih C J. On strain energy release rates for interfacial cracks in bi-material media. Engineering Fracture Mechanics 1987; 28: 13-20,
Sun C T, Qian H. Brittle fracture beyond the stress intensity factor. Journal of Mechanics of Materials and Structures 2009; 4(4): 743-753,
Taylor, D. The Theory of Critical Distances: A new perspective in fracture mechanics. Oxford: Elsevier, 2007.
Tracey D M. Finite elements for determination of crack tip elastic stress intensity factors. Engineering Fracture Mechanics 1971; 3(3): 255-265,
Tran V-X, Leguillon D, Krishnan A. Interface crack initiation at V-notches along adhesive bonding in weakly bonded polymers subjected to mixed-mode loading. International Journal of Fracture Mechanics 2012; 176: 65–79,
Treifi M, Oyadiji S O. Strain energy approach to compute stress intensity factors for isotropic homogeneous and bi-material V-notches. International Journal of Solids and Structures 2013; 50: 2196–2212,
Williams M L. Stress singularities resulting from various boundary conditions in angular corners of plate in extension. Journal of Applied Mechanics 1952; 9: 526-528.
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