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Method of Direct Cutting-Out in Modeling Orthotropic Solids with Thin Elastic Inclusions Under Longitudinal Shear

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By the method of direct cutting-out, the problems of longitudinal shear of an orthotropic half space, a layer, and a wedge with thin elastic orthotropic inclusions are reduced to the basic problem of interaction of thin inhomogeneities in the orthotropic space. We establish the conditions of interaction of loaded elastic anisotropic inclusions with the matrix of the body. We study the influence of elastic moduli both of the inclusion and of the body, as well as of the geometric parameters of the problems on the generalized stress intensity factors. The level lines of stresses are plotted in the vicinity of the inclusion.

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References

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    K. V. Vasil’ev & H. T. Sulym

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  1. K. V. Vasil’ev
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  2. H. T. Sulym
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Correspondence to K. V. Vasil’ev.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 3, pp. 55–68, July–September, 2020.

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Vasil’ev, K.V., Sulym, H.T. Method of Direct Cutting-Out in Modeling Orthotropic Solids with Thin Elastic Inclusions Under Longitudinal Shear. J Math Sci 273, 61–78 (2023). https://doi.org/10.1007/s10958-023-06484-0

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  • DOI: https://doi.org/10.1007/s10958-023-06484-0

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