Constitutive Law of the Arterial Wall and Stress Distribution

  • Keiichi Takamizawa
  • Kozaburo Hayashi
Conference paper


Stress distribution through the wall thickness of the artery was analyzed on the basis of the uniform strain hypothesis which assumes that the wall circumferential strain is constant over the wall cross-section under the physiological loading condition. In contrast with the results calculated using the conventional zero initial stress hypothesis which assumes that there is no stress when all external loads are removed, the uniform strain hypothesis yielded almost uniform distribution of wall stresses under the physiological condition and non-zero residual stresses even when all external forces were removed.


Residual Stress Circumferential Stress Strain Energy Density Function Extension Ratio Physiological Loading Condition 
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  1. 1.
    Fung, Y. C. Biodynamics: Circulation. New York: Springer-Verlag, 1984.Google Scholar
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    Hayashi, K.: Fundamental and applied studies of mechanical properties of cardiovascular tissues. Biorheology 19 (1982) 425–436.Google Scholar
  3. 3.
    Takamizawa, K.; Hayashi, K.; Nakamura, T.: Strain energy density function for arterial wall. Proc. Jap. Soc. Biorheology 8 (1985) 101–104.Google Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • Keiichi Takamizawa
    • 1
  • Kozaburo Hayashi
    • 1
  1. 1.Department of Biomedical EngineeringNational Cardiovascular Center Research InstituteFujishirodai, Suita, Osaka 565Japan

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