Periodic Problem for a Plane Composed of Two-Layer Strips with a System of Longitudinal Internal Inclusions and Cracks

  • V. N. Hakobyan
  • A. V. SahakyanEmail author
  • K. L. Aghayan
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 109)


The paper considers plane deformation state of a piecewise homogeneous uniformly layered plane of two dissimilar materials, when there is a system of cracks on the midlines of layers made of one material, and layers made of the other material are reinforced by a system of elastic inclusions also located on the midlines. A system of governing equations of the problem is obtained in the form of a system of singular integral and integro-differential equations for the dislocation function of the points of the cracks faces and tangential contact stresses acting on the long sides of the inclusions. The solutions of the obtained systems are constructed by the method of mechanical quadrature. A numerical calculation was carried out and the laws of change in the coefficients of concentration of destructive stresses at the end points of cracks and contact stresses were studied depending on the mechanical and geometric parameters of the problem.



The work is performed within the framework of the Joint Research Project № 18RF-061 of the State Committee on Science of the Ministry of Education and Science of the Republic of Armenia and № 18-51-05012 of the Russian Foundation for Basic Research (RFBR).


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • V. N. Hakobyan
    • 1
  • A. V. Sahakyan
    • 1
    Email author
  • K. L. Aghayan
    • 1
  1. 1.Institute of Mechanics, National Academy of SciencesYerevanArmenia

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