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Pulse velocities in initially stressed cylindrical rubber tubes

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Abstract

Expressions are obtained for the pulse velocities in cylindrical tubes of rubber-like materials which are under a state of initial stress. The development is based on the theory of finite elastic deformations and a Mooney materials is considered for illustrative purposes. Numerical results are given in terms of dimensionless parameters which involve the stretch ratio and lumen volume ratio. For the thoracic aorta, a value for the pulse velocity is obtained which is lower than the experimental value.

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Author notes

  1. I. Mirsky

    Present address: Department of Medicine, Division of Mathematical Biology, Harvard Medical School and Peter Bent Brigham Hospital, Boston, Massachusetts

Authors and Affiliations

  1. Department of Biomathematics, University of Alabama Medical Center, Birmingham, Alabama

    I. Mirsky

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  1. I. Mirsky
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Mirsky, I. Pulse velocities in initially stressed cylindrical rubber tubes. Bulletin of Mathematical Biophysics 30, 299–308 (1968). https://doi.org/10.1007/BF02476697

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  • DOI: https://doi.org/10.1007/BF02476697

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