Skip to main content
SpringerLink
Log in

Deformation of blood vessels upon stretching, internal pressure, and torsion

  • Published:
Mechanics of Composite Materials Aims and scope

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. D. J. Patel and D. L. Fry, “The elastic symmetry of arterial segments in dogs,” Circ. Research,24, No. 1, 1–8 (1969).

    Google Scholar 

  2. B. R. Simon, A. S. Kobayashi, D. E. Strandness, and C. A. Wiederhielm, “Large deformation analysis of the arterial cross section,” Trans. ASME, D93, No. 2, 138–145 (1971).

    Google Scholar 

  3. E. G. Tickner and A. H. Sacks, “A theory for the static elastic behavior of blood vessels,” Biorheology,4, No. 4, 151–168 (1967).

    Google Scholar 

  4. R. N. Vaishnav, J. T. Young, J. S. Janicki, and D. J. Patel, “Non-linear anisotropic elastic properties of the canine aorta,” Biophys. J.,12, No. 8, 1008–1027 (1972).

    Google Scholar 

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

    Google Scholar 

  6. A. H. Corneliussen and R. T. Shield, “Finite deformation of elastic membranes with application to the stability of an inflated and extended tube,” Arch. Ration. Mech. Anal.,7, 273–303 (1967).

    Google Scholar 

  7. A. Green and J. Adkins, Large Elastic Deformations, 2nd ed., Oxford Univ. Press (1971).

  8. A. I. Rachev, “The propagation of a pulse wave in arterial vessels considering prior stresses and muscular activity,” Mekh. Polim., No. 2, 301–311 (1978).

    Google Scholar 

  9. V. A. Kas'yanov, É. É. Tseders, and B. A. Purinya, “Determination of the shear modulus of human blood vessel walls,” Mekh. Polim., No. 5, 927–929 (1978).

    Google Scholar 

  10. A. F. Kregers, “An algorithm for finding the minimum of multivariable functions by the method of descent,” Algoritmy Programmy, No. 2, 9 (1974).

    Google Scholar 

  11. A. I. Rachev, “Nonlinear mechanical behavior of elastic orthotropic membranes,” in: Introduction to Biomechanics, Biomechanics [in Bulgarian], Book 9, Sofia (1979).

Download references

Author information

Authors and Affiliations

  1. Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga

    V. A. Kas'yanov & A. I. Rachev

  2. Institute of Mechanics and Biomechanics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    V. A. Kas'yanov & A. I. Rachev

Authors
  1. V. A. Kas'yanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Rachev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Mekhanika Kompozitnykh Materialov, No. 1, pp. 85–91, January–February, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kas'yanov, V.A., Rachev, A.I. Deformation of blood vessels upon stretching, internal pressure, and torsion. Mech Compos Mater 16, 76–80 (1980). https://doi.org/10.1007/BF00618816

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00618816

Keywords

Search

Navigation