Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Strain and stress in an elastic orthotropic tube with an anngular concentrator upon pulsation

  • 22 Accesses

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    V. A. Kas'yanov, “An anisotropic nonlinearly elastic model of large human blood vessels,” Mekh. Polim., No. 5, 874–884 (1974).

  2. 2.

    V. A. Kas'yanov and I. V. Knets, “The strain energy function of large human blood vessels,” Mekh. Polim., No. 1, 122–128 (1974).

  3. 3.

    Yu. Ya. Kislyakov, “The static properties of passive vessels of the arterial type,” Biofizika,16, No. 6, 1093–1100 (1971).

  4. 4.

    Fêng Yang Ch'eng, “Biomechanics, its subject, history, and some aspects of the use of the mechanics of a continuous medium in physiology,” Mekhanika, No. 5, 111–123 (1968).

  5. 5.

    E. G. Tickner and A. H. Sacks, “A theory for the static elastic behavior of blood vessels,” Biorheology, No. 4, 154–168 (1967).

  6. 6.

    Yu. Ya. Kislyakov, “Active and passive properties of carotid arteries,” Biofizika,20, No. 3, 511–514 (1975).

  7. 7.

    M. A. Godlevska, L. I. Slutskii, and B. A. Purinya, “A comparison of the mechanical and biomechanical characteristics of arteries,” Mekh. Polim., No. 6, 1096–1106 (1974).

  8. 8.

    N. N. Zhivoderov, M. N. Toropov, and N. N. Zavalishin, “Determination of the strength parameters of the cranial basilar artery,” in: First All-Union Conference on Legal Medicine [in Russian], Kiev (1976), pp. 407–409.

  9. 9.

    P. I. Androsov, “Improved vessel-suturing apparatus and its experimental clinical use,” Khirurgiya, No. 1, 50–54 (1957).

  10. 10.

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

  11. 11.

    A. S. Vol'mir and M. S. Gershtein, “The behavior of blood vessels as elastic shells,” Izv. Akad. Nauk ArmSSR, Mekh., No. 1, 8–12 (1966).

  12. 12.

    B. A. Purinya, I. V. Knets, and V. A. Kas'yanov, “The autogenous venous transplantation in reconstructive vascular surgery,” Mekh. Polim., No. 1, 153–159 (1975).

  13. 13.

    I. M. Skobeleva, “The flow of a viscous liquid in a tube with a deformable wall and variable elastic properties,” Nauchn. Tr. Inst. Mekh. Mosk. Gos. Univ. im. M. V. Lomonosova, No. 9, 38–41 (1971).

  14. 14.

    D. L. Fry, “Certain histological and chemical responses of the vascular interface to acutely induced mechanical stress in the aorta of the dog,” Circulat. Res.,24, No. 1, 93–108 (1969).

  15. 15.

    D. F. Yang and Ts. Ts. Shih, “Some experiments on determining the effect of isolating projections on flow in tubes,” in: The Hydrodynamics of Blood Circulation [in Russian], Moscow (1971), pp. 89–98.

Download references

Additional information

N. E. Bauman Moscow Technical Institute. Translated from Mekhanika Polimerov, No. 3, pp. 490–495, May–June, 1978.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Zavalishin, N.N., Sagalevich, V.M. & Loshchilov, V.I. Strain and stress in an elastic orthotropic tube with an anngular concentrator upon pulsation. Polymer Mechanics 14, 402–407 (1978). https://doi.org/10.1007/BF00866692

Download citation

Keywords

  • Orthotropic Tube
  • Elastic Orthotropic Tube