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Crack nucleation in circular disk under mixed boundary conditions

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A model of crack nucleation in a circular disk, based on consideration of cracking process zone is suggested. It is assumed that the cracking process zone is a finitelength layer containing a material with partially disturbed bonds between separate structural elements. Existence of bonds between the pre-fracture zone faces (the area of weakened interparticle bonds of the material) is simulated by application of cohesive forces caused by the existence of bonds to pre-fracture area surfaces. Analysis of limit equilibrium of the pre-fracture zone in a circular disk with mixed conditions on the boundary are fulfilled on the basis of ultimate stretching of material’s bonds and includes: 1) setting up the dependence of cohesive forces on opening of pre-fracture area faces, 2) estimation of stress state near the pre-fracture zone with regard to external loads and cohesive forces, 3) determination of dependence of critical external loads on geometrical parameters of the disk, under which the crack appears.
Rocznik
Strony
115--136
Opis fizyczny
Bibliogr. 31 poz.
Twórcy
  • Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan AZ-1141, B. Vahabzade 9 Baku, Azerbaijan
  • Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan AZ-1141, B. Vahabzade 9 Baku, Azerbaijan
Bibliografia
  • 1. J. Besson, Continuum models of ductile fracture: a review, International Journal of Damage Mechanics, 19, 3–52, 2010.
  • 2. V.V. Bolotin, Mechanics of the initiation and initial development of fatigue cracks, Materials Science, 22, 14–19, 1986.
  • 3. X.Q. Feng, S.W. Yu, Damage Micromechanics for Constitutive Relations and Failure of Microcracked Quasi-Brittle Materials, International Journal of Damage Mechanics, 19, 911–948, 2010.
  • 4. Y.F. Ko, J.W. Ju, Effects of fiber cracking on elastoplastic-damage behavior of fiber-reinforced metal matrix composites, International Journal of Damage Mechanics, 22, 48–67, 2013.
  • 5. V.M. Mirsalimov, Zarozhdenie defekta tipa treshhiny vo vtulke kontaktnoj pary, Matematicheskoe modelirovanie, 17, 2, 35–45, 2005.
  • 6. V.M. Mirsalimov, The solution of a problem in contact fracture mechanics of the nucleation and development of a bridged crack in the hub of a friction pair, J. of Applied Mathematics and Mechanics, 71, 120–136, 2007.
  • 7. M.V. Mir-Salim-zade, Generation of cracks in a perforated reinforced plate, J. of Applied Mechanics and Technical Physics, 49, 1030–1039, 2008.
  • 8. A.R. Vagari, V.M. Mirsalimov, Nucleation of cracks in a perforated heat-releasing material with temperature-dependent elastic properties, J. of Applied Mechanics and Technical Physics, 53, 4, 589–598, 2012.
  • 9. E. Zolgharnein, V.M. Mirsalimov, Nucleation of a crack under inner compression of cylindrical bodies, Acta Polytechnica Hungarica, 9, 2, 169–183, 2012.
  • 10. M.V. Akhmedova, Cracks nucleation in thin plate, weakened by the periodic system of the curvilinear holes, Vestnik of I. Yakovlev Chuvash State Pedagogical University. Line: Mechanics of limit state, 18, 4, 3–14, 2013 [in Russian].
  • 11. R.A. Iskenderov, The crack nucleation in the isotropic plate, weakened by a periodical system of circular holes under transverse bending, Structural Mechanics of Engineering Constructions and Buildings, 3, 18–28, 2013.
  • 12. V.M. Mirsalimov, Sh.G. Hasanov, Modeling of crack nucleation in covering on an elastic base. International Journal of Damage Mechanics, 23, 430–450, 2014.
  • 13. E.I. Zulfugarov, Modelling of curved crack nucleation in automobile brake drum, Fundamental and Applied Problems of Technics and Technology, 1, 303, 24–30, 2014.
  • 14. I. Mohammed, K.M. Liechti, Cohesive zone modeling of crack nucleation at bimaterial corners, J. of the Mechanics and Physics of Solids, 48, 4, 735–764, 2000.
  • 15. B. Yang, Examination of free-edge crack nucleation around an open hole in composite laminates, International Journal of Fracture. 115, 2, 173–191, 2002.
  • 16. Q. Yang, B. Cox, Cohesive models for damage evolution in laminated composites, International Journal of Fracture, 133, 2, 107–137, 2005.
  • 17. F. Lipperman, M. Ryvkin, M.B. Fuchs, Nucleation of cracks in two-dimensional periodic cellular materials, Computational Mechanics. 39, 2, 127–139, 2007.
  • 18. M.Yu. Gutkin, I.A. Ovid’ko, N.V. Skiba, Effect of inclusions on heterogeneous crack nucleation in nanocomposites, Physics of the Solid State, 49, 2, 261–266, 2007.
  • 19. Z. Chen, C. Butcher, Estimation of the stress state within particles and inclusions and a nucleation model for particle cracking, Micromechanics Modelling of Ductile Fracture: Solid Mechanics and Its Applications, 195, 223–243, 2013.
  • 20. F.F. Hasanov, Nucleation of cracks in isotropic medium with periodic system of the circular holes filled with rigid inclusions, at longitudinal shear, Structural Mechanics of Engineering Constructions and Buildings, 3, 44–50, 2014.
  • 21. F.F. Hasanov, Nucleation of the crack in a composite with reinforced unidirectional orthotropous fibers at longitudinal shear, Mechanics of Machines, Mechanisms and Materials, 2, 27, 45–50, 2014.
  • 22. V.M. Mirsalimov, Non-one dimensional elastoplastic problems, Moscow, Nauka, 1987 [in Russian].
  • 23. V.V. Panasyuk, Mechanics of Quasibrittle Fracture of Materials, Kiev, Naukova Dumka, 1991 [in Russian].
  • 24. A. Rusinko, K. Rusinko, Plasticity and creep of metals, Springer, 2011.
  • 25. Muskhelishvili N.I., Some basic problem of mathematical theory of elasticity, Amsterdam, Kluwer, 1977.
  • 26. E.G. Ladopoulos, Singular integral equations: linear and non-linear theory and its applications in science and engineering, Springer, 2000.
  • 27. E.G. Ladopoulos, Non-linear singular integro-differential equations in Banach spaces by collocation evaluation methods, Universal Journal of Integral Equations, 1, 28–38, 2013.
  • 28. A.A. Il’yushin, Plasticity, Moscow and Leningrad, Gostexhizdat, 1948 [in Russian].
  • 29. I.A. Birger, The design of structures allowing for plasticity and creep, Izv. Akad. Nauk SSSR Mekhanika, 2, 113–119, 1965.
  • 30. M.P. Savruk, Two-dimensional problem of elasticity for bodies with cracks, Kiev, Naukova Dumka, 1981 [in Russian].
  • 31. V.M. Mirsalimov, Fracture of elasto - and elastoplastic bodies with cracks, Baku, Science, 1984 [in Russian].
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c0722fe1-8b66-4aa0-bc63-b28050b50a46
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