Volume 27 Issue 3
Mar.  2001
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WANG Shou-mei, LI Ning, XU Minget al. New Strain Energy Functions of Blood Vessel (Ⅰ)[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(3): 325-327. (in Chinese)
Citation: WANG Shou-mei, LI Ning, XU Minget al. New Strain Energy Functions of Blood Vessel (Ⅰ)[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(3): 325-327. (in Chinese)

New Strain Energy Functions of Blood Vessel (Ⅰ)

  • Received Date: 04 Jan 2000
  • Publish Date: 31 Mar 2001
  • Investigation of the consequence of large deformation of blood vessel due to change in transmural pressure is crucial to the understanding of vein graft or other surgical operations involving blood vessel. The paper proposes and verifies new constitutive laws describing nonlinear stress-strain relation of orthogonal anisotropic materials. It can be used for large deformation calculation of blood vessels in the bio-mechanics regime. The derivation of the constitutive law is pure mathematical reasoning based on only one assumption that the stress-strain relation takes a polynomial form. Application is made in a blood vessel test. The correlation between the proposed formula and experimental data is excellent and better than that of the existing exponential expressions

     

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  • [1] Fung Y C, Fronek K, Patitucci P. Pseudo-elasticity of arteries and the choice of its mathematical expressions[J]. American Journal of Physiology, 1979,237(5):620~631. [2] Chuong C J, Fung Y C. Three dimensional stress distribution in arteries . Journal of Biomechanical Engineering,1983,105(8):268~274. [3] Maltazahn W, Warrinyer R G, Keitzer W F. Experimental measurements of elastic properties of media and adventitia of bovine carotid arteries[J]. J of Biomechanics,1984,17(11):839~847. [4] Takamizawa K, Hayashi K. Strain energy density function and uniform strain hypothesis for arterial mechanics[J]. J of Biomechanics,1987,20(1):7~17. [5] Fung Y C, Liu S Q. Determination of the mechanical properties of the different layers of blood vessels in vivo[J]. Proc Natl Acad Sci,1995,92:2169~2173. [6] Fung Y C. The degree of nonlinearity and anisotropy of blood vessel elasticity[J]. Proc Natl Acad Sci,1997,94:14255~14260.
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