Search for Author, Title, Keyword
RESEARCH PAPER
Criterion for crack initiation from notch located at the interface of bi-material structure
 
More details
Hide details
1
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
 
KEYWORDS
ABSTRACT
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.
 
REFERENCES (38)
1.
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, https://doi.org/10.1016/j.engf....
 
2.
Baranowski P, Damaziak K, Małachowski J. Brake system studies using numerical methods, Eksploatacja i Niezawodnosc – Maintenance and Reliability 2013; 15 (4): 337–342.
 
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/10.1016/0020-7....
 
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/BF0018....
 
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.engf....
 
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.1....
 
7.
Kinloch A J. Adhesion and adhesives, Science and Technology. London: Springer, 1987, https://doi.org/10.1007/978-94....
 
8.
Kirsch G. Die theorie der elastizität und die bedürfnisse der festigkeitslehre. Verein deutscher Ingenieure Zeitschrift 1898; 29: 797-807.
 
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/10.1080/002184....
 
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.ijso....
 
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.engf....
 
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-....
 
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....
 
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/S10683....
 
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.me....
 
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....
 
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....
 
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-....
 
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/10.1016/0022-5....
 
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-....
 
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-....
 
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/BF0003....
 
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.1....
 
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/10.1016/0013-7....
 
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.....
 
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/10.1016/0013-7....
 
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....
 
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.ijso....
 
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.
 
 
CITATIONS (5):
1.
Modelling Methodology of Piston Pneumatic Air Engine Operation
Dariusz Szpica, Michal Korbut
Acta Mechanica et Automatica
 
2.
Common Methods in Analysing the Tribological Properties of Brake Pads and Discs – A Review
Andrzej Borawski
Acta Mechanica et Automatica
 
3.
Conventional and unconventional materials used in the production of brake pads – review
Andrzej Borawski
Science and Engineering of Composite Materials
 
4.
Modelling of the Low-Pressure Gas Injector Operation
Dariusz Szpica, Michał Kusznier
Acta Mechanica et Automatica
 
5.
Testing Passenger Car Brake Pad Exploitation Time’s Impact on the Values of the Coefficient of Friction and Abrasive Wear Rate Using a Pin-on-Disc Method
Andrzej Borawski
Materials
 
eISSN:2956-3860
ISSN:1507-2711
Journals System - logo
Scroll to top