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<p>By the method of jump functions within the framework of the theory of thin inclusions, we propose and test a mathematical model of a thin multilayer band anisotropic inclusion in an anisotropic space under the conditions of longitudinal shear by forces applied at infinity. By analyzing examples of antiplane deformation of two- and three-layer inclusions, we study the influence of components of the tensor of elastic constants on the generalized stress intensity factors of the inhomogeneity and the stress field in its vicinity.</p>

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Elastic Equilibrium of a Space with Multilayer Anisotropic Thin Band Inclusion Under Longitudinal Shear

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • K. V. Vasil’ev,
  • H. T. Sulym

摘要

By the method of jump functions within the framework of the theory of thin inclusions, we propose and test a mathematical model of a thin multilayer band anisotropic inclusion in an anisotropic space under the conditions of longitudinal shear by forces applied at infinity. By analyzing examples of antiplane deformation of two- and three-layer inclusions, we study the influence of components of the tensor of elastic constants on the generalized stress intensity factors of the inhomogeneity and the stress field in its vicinity.