The Stress State of a Transversely Isotropic Plate with a Curvilinear Hole for a Given Splitting Force on the Boundary Surface

  • I. Yu. KhomaEmail author
  • T. M. Proshchenko

The problem of the stress state of an infinite transversely isotropic plate with curved (noncircular) hole is solved by using the method of expanding the unknown functions into Fourier series of Legendre polynomials andthe boundary-shape perturbation method. Balanced pair of forces tending to split or compress the plate along the midplane is given on the hole boundary surface. The stress state of the plate withsquare and triangular holes is analyzed.


transversely isotropic plate stress state curved hole elliptical hole square hole triangular hole 


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

Authors and Affiliations

  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine
  2. 2.Kyiv National Taras Shevchenko UniversityKyivUkraine

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