Journal of Mathematical Sciences

, Volume 240, Issue 2, pp 173–183 | Cite as

Contact Problem for an Anisotropic Half Plane with Cracks

  • O. V. Maksymovych
  • S. V. Lavrenchuk
  • T. Ya. Solyar

We propose an approach for the solution of a contact problem for an anisotropic half plane interacting with a plane smooth punch with regard for the contact of the crack faces. The stresses formed near the cracks in the anisotropic half plane are found on the basis of the method of integral equations. The kernels of the equations are constructed to guarantee the identical validity of the conditions imposed on the rectilinear boundary of the half plane, including the area under the punch. The influences of anisotropy and the contact of crack faces on the stress intensity factors are analyzed.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • O. V. Maksymovych
    • 1
  • S. V. Lavrenchuk
    • 1
  • T. Ya. Solyar
    • 2
  1. 1.Lutsk National Technical UniversityLutskUkraine
  2. 2.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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