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Study of the Dynamic Stress State of Microporous Media Within the Framework of the Cosserat Pseudocontinuum

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We develop an analytic-numerical method for the investigation of the dynamic stress state of an unbounded layered element containing a hole within the framework of Cosserat pseudocontinuum. The method is based on the application of the Fourier transformation with respect to the time and the method of boundary integral equations. On the basis of the proposed method, we study the concentrations of the dynamic circumferential and radial stresses in biomaterials near circular and elliptic holes.

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Authors and Affiliations

  1. Lutsk National Technical University, Lutsk, Ukraine

    V. I. Shvabyuk & O. A. Mikulich

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  1. V. I. Shvabyuk
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  2. O. A. Mikulich
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Correspondence to V. I. Shvabyuk.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 61, No. 2, pp. 134–140, April–June, 2018.

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Shvabyuk, V.I., Mikulich, O.A. Study of the Dynamic Stress State of Microporous Media Within the Framework of the Cosserat Pseudocontinuum. J Math Sci 253, 148–155 (2021). https://doi.org/10.1007/s10958-021-05219-3

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  • DOI: https://doi.org/10.1007/s10958-021-05219-3

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