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<p>The antiplane problem of the theory of elasticity for an anisotropic body with smooth curvilinear anisotropic inclusions and cracks is solved using the method of singular integral equations. For one elliptic inclusion and an arbitrarily oriented rectilinear crack in the orthotropic plane, the obtained system of the first and second integral equations is solved numerically by the quadrature method. The dependences of the stress intensity factors at the crack tips on the geometric parameters of the problem and the elastic constants of orthotropic materials of the matrix and inclusion are constructed.</p>

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Stress state of an anisotropic body with smooth curvilinear inclusions and cracks under antiplane deformation

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • M. P. Savruk,
  • V. S. Kravets,
  • L. Yo. Onyshko,
  • O. I. Kvasniuk

摘要

The antiplane problem of the theory of elasticity for an anisotropic body with smooth curvilinear anisotropic inclusions and cracks is solved using the method of singular integral equations. For one elliptic inclusion and an arbitrarily oriented rectilinear crack in the orthotropic plane, the obtained system of the first and second integral equations is solved numerically by the quadrature method. The dependences of the stress intensity factors at the crack tips on the geometric parameters of the problem and the elastic constants of orthotropic materials of the matrix and inclusion are constructed.