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Antiplane deformation of a bimaterial with thin interfacial nonlinear elastic inclusion

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of longitudinal shear of bimaterial with thin nonlinear elastic inclusion at the interface of matrix materials is considered. Solution of the problem is constructed using the boundary value problem of combining analytical functions and jump functions method. The model of the thin inclusion with nonlinear resilient parameters is built. Solution of the problem is reduced to a system of singular integral equations with variable coefficients. The convergent iterative method for solving such a system is offered for various nonlinear strain models, including Ramberg-Osgood law. Numerical calculations are carried out for different values of non-linearity characteristic parameters for the inclusion material. Their parameters are analysed for the tensely-deformed matrix under loading a uniformly distributed shear stresses and for a balanced system of the concentrated forces.
Rocznik
Strony
190--195
Opis fizyczny
Bibliogr. 22 poz., rys., wykr.
Twórcy
autor
  • Bialystok University of Technology, Faculty of Mechanical Engineering, ul. Wiejska 45c, 15-351 Bialystok, Poland
autor
  • Ukrainian Academy of Printing, Pidgolosko Str. 19, 79020 L’viv, Ukraine
autor
  • University of Bydgoszcz, ul. Unii Lubelskiej 4c, 85-059 Bydgoszcz, Poland
Bibliografia
  • 1. Arhipenko K.M., Kriviy O.F. (2008), Interfacial beam at different types of contact interaction of heterogeneous anisotropic plane (in Ukrainian), Mashynoznavstvo, 3(129), 16–21.
  • 2. Bozhydarnyk V.V, Sulym H. (1999), Elements of the theory of plasticity and strength (in Ukrainian), L'viv, Svit.
  • 3. Chernych K.F. (1998), Nonlinear singular elasticity (theory and applications) (in russian, ScPetersburg.
  • 4. Comninou M. (1977), The interface crack, J. Appl. Mech., 44, 631–636.
  • 5. Hills D.A, Nowell D., Sackfield A. (1993), Mechanics of elastic contact, Butterworth-Heinemann, Oxford.
  • 6. Johnson K.L. (1985), Contact mechanics, Cambridge University Press.
  • 7. Kit G.S., Martynyak R.M. and Machishyn I.M. (2003), The effect of fluid in the contact gap on the stress state of conjugate bodies, Ibid, 39(3), 292–299.
  • 8. Ostryk V.I., Ulitko A.F. (2006), Wiener-Hopf method to contact problems of theory of elasticity (in Russian), Kiev, Naukova dumka.
  • 9. Panasyuk V.V., Savruk M.P., Datsyshyn O.P. (1976), Distribution tense neighborhood of cracks in the plates and shells (in Russian), Kiev, Naukova dumka.
  • 10. Pasternak Ya.M., Sulym H.T., Piskozub L.G. (2010), Models of thin inclusion with the account of imperfect contact with the medium (in Russian), Proc. of VI International symposium on Tribo-Fatigue MSTF 2010 (Minsk, 25 oct. – 1 nov. 2010) in 2 parts, part 2., Minsk, BGU, 399–404.
  • 11. Pasternak Ya.M., Sulym H.T., Pasternak R.M. (2012) Longitudinal shear of the body with thin straps and elastic inclusions of variable stiffness at their ideal and nonideal contacts, Mechanika i fizyka ruynuvannia budivelnych konstrukciy, Lviv, Kameniar, 9, 98–113.
  • 12. Piskozub J.Z., Sulim G.T. (2008), Thermoelastic equilibrium of piecewise homogeneous solids with thin inclusions, Journal of Engineering Mathematics. Special Issue Thermomechanics, 61, 315–337.
  • 13. Rice J.R., Rosengren G.F. (1968), Plane strain deformation near a crack tip in power law hardening material, Journal of the Mechanics and Physic of Solids, 16, 1–12.
  • 14. Savruk M.P. (1981), Two-dimensional elasticity problem for bodies with cracks (in Russian), Kiev, Naukova dumka.
  • 15. Schmueser D., Comninou M., Dundurs J. (1980), Separation and slip between a layer and substrate caused by a tensile load, Ibid, 18, 1149–1155.
  • 16. Sekine H.(1982), Mechanics of debonding along the surfaces of dispersed flat inclusions in composite materials (A model of debonding along the surface of a flat inclusion), Trans. ASME. Journal of Applied Mechanics, 48A, 11(435), 1415–1420.
  • 17. Sulym H., Piskozub L., Piskozub Y., Pasternak Ia (2015), Antiplane deformation of a bimaterial containing an interfacial crack with the account of friction. I. Single loading, Acta Mechanica et Automatica, 9(2), 115–121.
  • 18. Sulym H., Piskozub L., Piskozub Y., Pasternak Ia. (2015), Antiplane deformation of a bimaterial containing an interfacial crack with the account of friction. 2. Repeating and Cyclic loading, Acta Mechanica et Automatica, 9(3), 178–184.
  • 19. Sulym H.T., Pasternak Ya.M., Piskozub J.Z., Piskozub L.G. (2015), Longitudinal shear of a bimaterial with frictional sliding contact in the interfacial crack, Journal of Theoretical and Applied Mechanics, 54(2), 529–539.
  • 20. Sulym H.T. (2007), Fundamentals of the mathematical theory of thermoelastic equilibrium of deformable bodies with thin inclusions (in Ukrainian), Lviv, Doslidno-vydavnychyy tsentr NTSh.
  • 21. Sulym H.T., Piskozub Y.Z. (1996), Asymptotics of stresses in the vicinity of thin interface inclusion tips (in Ukrainian), Phis.-chim. mechanica materialiv (Materials Science), 32(4), 39–48.
  • 22. Sulym H.T., Piskozub Y.Z. (2004), Conditions of contact interaction (review) (in ukrainian), Mat. metody i fiz.-meh. polya (Journal of Mathematical Science), 47(3), 110–125.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e58ed4a3-e76f-4e2e-ba80-42b2fd1482d2
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