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2020 | OriginalPaper | Chapter

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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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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Literature
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go back to reference Kryvyi, O.F.: The solution method nonaxisymmetric problems of stress concentration for an inhomogeneous transversal isotropic space with interfacial cracks and inclusions. In: ICF2017-14th International Conference on Fracture, Conference Paper, pp. 560–561 (2017) Kryvyi, O.F.: The solution method nonaxisymmetric problems of stress concentration for an inhomogeneous transversal isotropic space with interfacial cracks and inclusions. In: ICF2017-14th International Conference on Fracture, Conference Paper, pp. 560–561 (2017)
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go back to reference Kryvyi, O., Morozov, Yu.: Interphase circular inclusion in a piecewise-homogeneous transversely isotropic space under the action of a heat flux. In: Gdoutos, E. (eds.) Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2018. Structural Integrity, vol. 5. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-91989-8_94 Kryvyi, O., Morozov, Yu.: Interphase circular inclusion in a piecewise-homogeneous transversely isotropic space under the action of a heat flux. In: Gdoutos, E. (eds.) Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2018. Structural Integrity, vol. 5. Springer, Cham (2019). https://​doi.​org/​10.​1007/​978-3-319-91989-8_​94
11.
go back to reference Kryvyi, O., Morozov, Yu.: Heat-active circular interphase inclusion in the conditions of smooth contact with half-spaces. In: Gdoutos E. (eds) Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2019. Structural Integrity, vol 8. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-21894-2_36 Kryvyi, O., Morozov, Yu.: Heat-active circular interphase inclusion in the conditions of smooth contact with half-spaces. In: Gdoutos E. (eds) Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2019. Structural Integrity, vol 8. Springer, Cham (2019). https://​doi.​org/​10.​1007/​978-3-030-21894-2_​36
Metadata
Title
The Influence of Mixed Conditions on the Stress Concentration in the Neighborhood of Interfacial Inclusions in an Inhomogeneous Transversely Isotropic Space
Authors
Oleksandr Kryvyi
Yurii Morozov
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-47883-4_38

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