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The Influence of Mixed Conditions on the Stress Concentration in the Neighborhood of Interfacial Inclusions in an Inhomogeneous Transversely Isotropic Space

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Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics (ICTAEM 2020)

Abstract

Two mixed non-axisymmetric problems on an absolutely rigid circular interphase inclusion in a piecewise-homogeneous trans-versal-isotropic space are considered. One face of inclusion is in conditions of smooth contact, and on the other, conditions of full adhesion to the medium are realized or there is no contact with the medium. Using exact solutions to these problems, the influence of the boundary conditions on the stress concentration in the neighborhood of the inclusion is analyzed. In particular, it has been established that under mixed conditions the stresses have a power-law singularity, the indices of which depend on the elastic constant transversally isotropic half-spaces. In the case of detachment, the power-law singularity is amplified by oscillatory multiplier.

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Correspondence to Oleksandr Kryvyi .

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Kryvyi, O., Morozov, Y. (2020). The Influence of Mixed Conditions on the Stress Concentration in the Neighborhood of Interfacial Inclusions in an Inhomogeneous Transversely Isotropic Space. In: Gdoutos, E., Konsta-Gdoutos, M. (eds) Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2020. Structural Integrity, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-030-47883-4_38

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  • DOI: https://doi.org/10.1007/978-3-030-47883-4_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-47882-7

  • Online ISBN: 978-3-030-47883-4

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