Fracture Mechanics and Strength of Materials

Stress State of Anisotropic Plane with Curvilinear Anisotropic Inclusion

Andrii Chornenkyi

Karpenko Physico-Mechanical Institute of NAS of Ukraine

https://doi.org/10.15407/msse2025.01.247

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Keywords

anisotropic body, inclusion, singular integral equations, stress concentration factor

Abstract

A plane problem of the theory of elasticity for an anisotropic body with a curvilinear anisotropic inclusion is considered. The constructed system of two singular integral equations (SIE) of the second kind is reduced to solving a system of linear algebraic equations by the method of mechanical quadratures. The distributions of contact and contour stresses on the contours of inclusions of various shapes are determined.

References

  1. Savruk M. P., Kazberuk A. Stress Сoncentration at Notches // Cham: – 2017. – P. 516.
  2. Savruk M.P., Kazberuk A. Curvilinear cracks in anisotropic plane and limit passage to the degenerate material // Materials Science. – 2014. – 50, №2. – P. 189–200.
  3. Lekhnitskii SG. Theory of elasticity of an anisotropic body. Holden-Day, San Francisco. – 1963. – P.417