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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 6, Pages 3–16
DOI: https://doi.org/10.15372/PMTF20190601 (Mi pmtf367) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the energy of a hydroelastic system: blood flow in an artery with cerebral aneurysm

M. Yu. Mamatyukovab, A. K. Kheab, D. V. Parshinab, P. I. Plotnikovab, A. P. Chupakhinab

a Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (621 kB) Citations (5)
DOI: https://doi.org/10.15372/PMTF20190601
Abstract: An energy approach to the study of a hydroelastic system consisting of an elastic blood vessel, viscous fluid flow, and an aneurysm anomaly is developed to evaluate the various energy components of the system: viscous flow dissipation energy, tensile energy and bending energy of the aneurysm wall. To calculate the total energy of the system, we have developed a computing complex including commercial and free software and self-developed modules. The performance of the complex has been tested on model geometric configurations and configurations corresponding to blood vessels with cerebral aneurysms of real patients and those reconstructed by angiographic images. The calculated values of the Willmore functional characterizing the shell bending energy are consistent with theoretical data.
Keywords: Willmore functional, surface curvature, cerebral aneurysms, hydroelasticity, numerical calculation.
Funding agency Grant number
Russian Science Foundation 17-11-01156
Received: 29.04.2019
Revised: 29.04.2019
Accepted: 29.04.2019
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 6, Pages 977–988
DOI: https://doi.org/10.1134/S0021894419060014
Bibliographic databases:
Document Type: Article
UDC: 532.542; 616.1
Language: Russian
Citation: M. Yu. Mamatyukov, A. K. Khe, D. V. Parshin, P. I. Plotnikov, A. P. Chupakhin, “On the energy of a hydroelastic system: blood flow in an artery with cerebral aneurysm”, Prikl. Mekh. Tekh. Fiz., 60:6 (2019), 3–16; J. Appl. Mech. Tech. Phys., 60:6 (2019), 977–988
Citation in format AMSBIB
\Bibitem{MamKhePar19}
\by M.~Yu.~Mamatyukov, A.~K.~Khe, D.~V.~Parshin, P.~I.~Plotnikov, A.~P.~Chupakhin
\paper On the energy of a hydroelastic system: blood flow in an artery with cerebral aneurysm
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 6
\pages 3--16
\mathnet{http://mi.mathnet.ru/pmtf367}
\crossref{https://doi.org/10.15372/PMTF20190601}
\elib{https://elibrary.ru/item.asp?id=41444458 }
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 6
\pages 977--988
\crossref{https://doi.org/10.1134/S0021894419060014}
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  • https://www.mathnet.ru/eng/pmtf/v60/i6/p3
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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