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<p>The stress state of an infinite anisotropic body (matrix) with a&#xa0;smooth curvilinear orthotropic inclusion under longitudinal shear was studied. The two-dimensional problem of the theory of elasticity for a&#xa0;piecewise homogeneous anisotropic body is reduced to a&#xa0;system of two real singular integral equations of the second kind, the numerical solutions of which are obtained by the quadrature method. The influence of the shape and location of the orthotropic inclusion on the stress state of a&#xa0;piecewise homogeneous body for a&#xa0;series of values of elastic constants of orthotropic materials of the matrix and inclusion is defined. The found distributions of longitudinal shear stresses at the interface of materials for various geometric and mechanical parameters of the problem were analyzed.</p>

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Influence of the shape and location of orthotropic inclusion on the stress state of anisotropic body under longitudinal shear

  • 期刊论文

  • 发表日期：

    2025年1月1日

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

摘要

The stress state of an infinite anisotropic body (matrix) with a smooth curvilinear orthotropic inclusion under longitudinal shear was studied. The two-dimensional problem of the theory of elasticity for a piecewise homogeneous anisotropic body is reduced to a system of two real singular integral equations of the second kind, the numerical solutions of which are obtained by the quadrature method. The influence of the shape and location of the orthotropic inclusion on the stress state of a piecewise homogeneous body for a series of values of elastic constants of orthotropic materials of the matrix and inclusion is defined. The found distributions of longitudinal shear stresses at the interface of materials for various geometric and mechanical parameters of the problem were analyzed.