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Problems of the dynamic behavior of blood vessels as shells

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Abstract

Problems of the dynamic behavior of blood vessels as deformable shells with a viscous fluid flowing in them are investigated. A multicoat elastic shell in which an active (muscular) coat is distinguished is proposed as a model of the vessel. Problems that can be solved on the basis of the model are discussed.

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Literature cited

  1. A. Vol'mir and M. S. Gershtein, Prikl. Mekhan.,5, 3 (1969).

    Google Scholar 

  2. G. Rudinger, Biomedical Fluid Symp., N. Y. (1966).

  3. R. Skalak, Biomechanics Proc. Symp., N. Y. (1966), p. 20.

  4. E. O. Attinger, in: Advances in Biomedical Engineering and Medical Physics, N. Y. (1968), p. 1.

  5. M. L. Edemskii, in: Physiology of Cardiac Ejection [in Russian], Kiev (1968), p. 28.

  6. I. S. Gromeka, Propagation Velocity of Wavelike Motion of a Fluid in Elastic Tubes [in Russian], Kazan' (1883).

  7. R. L. Whitmore, Fourth Intern. Congr. on Rheology, Vol. I, N. Y. (1965), p. 57.

  8. R. H. Cox, Biophys. J.,8, 6, 691 (1968).

    Google Scholar 

  9. E. G. Tickner and A. H. Sacks, Biorheology,4, 4, 169 (1967).

    Google Scholar 

  10. D. J. Patel and D. L. Fry, Circulation Res.,24, 1, 1 (1969).

    Google Scholar 

  11. V. M. Khayutin, Vasomotor Reflexes [in Russian], Moscow (1964).

  12. A. S. Vol'mir, Stability of Deformable Systems [in Russian], Moscow (1967).

  13. A. S. Vol'mir and M. S. Gershtein, Izv. AN Arm. SSR, Mekhanika,19, 8 (1966).

    Google Scholar 

  14. S. A. Ambartsuman, Theory of Anisotropic Shells [in Russian], Moscow (1961).

  15. I. Mirsky, Biophys. J.,7, 2, 165 (1967).

    Google Scholar 

  16. H. B. Atabek, Biophys. J.,8, 5, 626 (1968).

    Google Scholar 

  17. J. R. Womersley, Phil. Mag.,46, s. 7, 373, 199 (1955).

    Google Scholar 

  18. V. V. Parin, R. M. Baevskii, Yu. N. Volkov, and O. G. Gazenko, Space Cardiology [in Russian], Leningrad (1967).

  19. M. Anliker and K. R. Raman, Int. J. Solids and Structures,2, 3, 467 (1966).

    Google Scholar 

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N. E. Zhukovskii Military-Air Academy. Translated from Mekhanika Polimerov, No. 2, pp. 373–379, March–April, 1970.

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Vol'mir, A.S., Gershtein, M.S. Problems of the dynamic behavior of blood vessels as shells. Polymer Mechanics 6, 322–326 (1970). https://doi.org/10.1007/BF00859209

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  • DOI: https://doi.org/10.1007/BF00859209

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