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Tytuł artykułu

Criterion for crack initiation from notch located at the interface of bi-material structure

Treść / Zawartość
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Warianty tytułu
PL
Kryterium pękania struktury bi-materiałowej z ostrym karbem usytuowanym na interfejsie
Języki publikacji
EN PL
Abstrakty
EN
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.
PL
W pracy przedstawiono wyniki badań dotyczących pękania struktury bi-materiałowej z karbem usytuowanym na interfejsie. Do prognozowania inicjacji procesu pękania zastosowano kryterium oparte na punktowej teorii krytycznych dystansów. Analizowano elementy wykonane ze stopu aluminium i polimerów (PC, PMMA), które poddane były trójpunktowemu zginaniu. Wartości obciążeń krytycznych wynikających z wykorzystanej hipotezy porównano z wartościami uzyskanymi z eksperymentu. Walidacja wybranego kryterium wymagała określania jakościowego i ilościowego opisu osobliwych pól naprężeń, występujących w okolicy wierzchołkowej karbu strukturalnego. W związku z tym, uzyskano takie rozwiązania i omówiono metodykę ich otrzymywania.
Rocznik
Strony
301--310
Opis fizyczny
Bibliogr. 38 poz., rys., tab.
Twórcy
  • Faculty of Mechanical Engineering Bialystok University of Technology ul. Wiejska 45C, Poland
Bibliografia
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  • 3. 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, https://doi.org/10.1016/0020-7683(71)90077-1.
  • 4. Byskov E. Calculation of stress intensity factors using finite element method with cracked elements. International Journal of Fracture Mechanics 1970; 6(2): 59-167, https://doi.org/10.1007/BF00189823.
  • 5. 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, https://doi.org/10.1016/j.engfracmech.2006.01.030.
  • 6. Griffith A A. The phenomena of rupture and flow in solids. Philosophical Transactions series A 1920; 221: 163-198, https://doi.org/10.1098/rsta.1921.0006.
  • 7. Kinloch A J. Adhesion and adhesives, Science and Technology. London: Springer, 1987, https://doi.org/10.1007/978-94-015-7764-9.
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  • 9. 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.
  • 10. 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, https://doi.org/10.1080/00218464.2011.538322.
  • 11. 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, https://doi.org/10.1016/j.ijsolstr.2013.01.024.
  • 12. 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, https://doi.org/10.1016/j.engfracmech.2013.08.010.
  • 13. 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, https://doi.org/10.1016/S1620-7742(01)01302-2.
  • 14. 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, https://doi.org/10.1007/s10338-008-0840-3.
  • 15. Łukaszewicz A. Nonlinear numerical model of heat generation in the rotary friction welding, Journal of Friction and Wear 2018; 39 (6): 612-619, https://doi.org/10.3103/S1068366618060089.
  • 16. McClintock F A. Ductile fracture instability in shear. Journal of Applied Mechanics 1958; 25: 582-588.
  • 17. 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, https://doi.org/10.5755/j01.mech.21.2.8726.
  • 18. 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, https://doi.org/10.1007/s11029-017-9663-y.
  • 19. Mieczkowski G. Stress fields at the tip of a sharp inclusion on the interface. Mechanics of Composite Materials 2016; 52(5):601-610, https://doi.org/10.1007/s11029-016-9610-3.
  • 20. 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.
  • 21. Parton V ., Perlin P I. Mathematical methods of the theory of elasticity. Moscow: Mir Publishers, 1984.
  • 22. Pirondi A, Nicoletto G. Fatigue crack growth in bonded DCB specimens. Engineering Fracture Mechanics 2004; 71(4–6): 859–871, https://doi.org/10.1016/S0013-7944(03)00046-8.
  • 23. 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, https://doi.org/10.1016/0022-5096(73)90008-2.
  • 24. 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.
  • 25. 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.
  • 26. 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, https://doi.org/10.1016/S0167-8442(99)00014-2.
  • 27. Seweryn A, Łukaszewicz A. Verification of fracture criteria of elements with V-shaped notches. Eksploatacja i Niezawodnosc –– Maintenance and Reliability 2001; 5: 6–8.
  • 28. 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, https://doi.org/10.1016/S0013-7944(96)00035-5.
  • 29. Sih G C. Strain-energy-density factor applied to mixed mode crack problems. International Journal of Fracture 1974; 10: 305-321, https://doi.org/10.1007/BF00035493.
  • 30. 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.
  • 31. 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, https://doi.org/10.1098/rspa.1946.0077.
  • 32. 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, https://doi.org/10.1016/0013-7944(87)90115-9.
  • 33. Sun C T, Qian H. Brittle fracture beyond the stress intensity factor. Journal of Mechanics of Materials and Structures 2009; 4(4): 743-753, https://doi.org/10.2140/jomms.2009.4.743.
  • 34. Taylor, D. The Theory of Critical Distances: A new perspective in fracture mechanics. Oxford: Elsevier, 2007.
  • 35. Tracey D M. Finite elements for determination of crack tip elastic stress intensity factors. Engineering Fracture Mechanics 1971; 3(3): 255-265, https://doi.org/10.1016/0013-7944(71)90036-1.
  • 36. 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, https://doi.org/10.1007/s10704-012-9727-x.
  • 37. 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, https://doi.org/10.1016/j.ijsolstr.2013.03.011.
  • 38. 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
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d3402481-112c-4778-b683-d85da47e6e6a
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