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Antiplane deformation of a bimaterial with thin interfacial nonlinear elastic inclusion

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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.
Opis fizyczny
Bibliogr. 22 poz., rys., wykr.
  • Bialystok University of Technology, Faculty of Mechanical Engineering, ul. Wiejska 45c, 15-351 Bialystok, Poland
  • Ukrainian Academy of Printing, Pidgolosko Str. 19, 79020 L’viv, Ukraine
  • University of Bydgoszcz, ul. Unii Lubelskiej 4c, 85-059 Bydgoszcz, Poland
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  • 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.
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