Abstract
Static mechanical behaviors of three different arterial walls were examined through changes in external radius due to distending pressure. In order to examine the distensibility of these vessels, distension ratio was defined as the ratio of eternal radius at each pressure to that at zero pressure. Linear relations were observed between the logarithmic pressure and the distension ration, and they were described by on exponential function. Two parameters used in this equation were related quantitatively to the area fraction of elastin or collagen component occupied in the cross section of wall. Stress-strain relation was then determined from their pressure-diameter data by using finite-deformation theory. An exponential function was established between tangential stress and tangenital strain. These results can be used to study the resistance of arterial walls to cardio-vascular disease.
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References
Stehbens, W. E., Pathology of the Cerebral Blood Vessels, C. V. Mosby Company, St. Louis (1972).
Simon, B. R., Kobayashi, A. S., Strandness, D. E. andWiederhielm, C. A., “Large Deformation Analysis of the Arterial Cross Section,”J. Basic Engr.,93,138–146 (1971).
Ferguson, G. G., “Physical Factors in the Initiation, Growth, and Rupture of Human Intracranial Saccular Aneurysms,”J. Neurosurgery,37,666–677 (1972).
Roach, M. R. andBurton, A. C., “The Reason for the Shape of the Distensibility Curves of Arteries,”Can. J. Biochem. Physiol.,35,681–690 (1957).
Peterson, L. H., Jensen, R. E. andParnell, J., “Mechanical Properties of Arteries in Vico,”Circulation Res.,8,622–639 (1960).
Bergel, D. H., “The Static Elastic Properties of the Arterial Wall,”J. Physiol.,156,445–457 (1961).
Simon, B. R., Kobayashi, A. S., Strandness, D. E. andWiederhielm, C. A., “Reevaluation of Arterial Constitutive Relation—A Finite-Deformation Approach,”Circulation Res.,30,491–500 (1972).
Hayashi, K., Sato, M., Handa, H. andMoritake, K., J. Soc. Mat. Sci., Japan,23,437–443 (1974).
Hayashi, K., Sato, M., Handa, H. and Moritake, K., “Biomechanical Study of Vascular Walls (Testing Apparatus of Mechanical Behavior of Vascular Walls and Measurement of Volume Fraction of Their Structural Components),” Proc. 16th Japan Congress on Mat. Res., 240–244 (1973).
Wolinsky, H. andGlagov, S., “Structural Basis for the Static Mechanical Properties of the Aortic Media,”Circulation Res.,14,400–413 (1964).
Hayashi, K., Sato, M., Ishii, I., Handa, H., Mori, K. andMoritake, K., “Biomechanical Study of Vascular Walls (Distensibility of Vascular Walls and Structure Observation),”J. Soc. Mat. Sci., Japan,21,1030–1036 (1972).
Apter, J. T. andCummings, D. H., “Correlation of Viscoelastic Properties of Large Arteries with Microscopic Structure,”Circulation Res.,19,104–121 (1966).
Green, A. E. andZerna, W., Theoretical Elasticity, Oxford Univ. Press, London (1968).
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Hayashi, K., Sato, M., Handa, H. et al. Biomechanical study of the constitutive laws of vascular walls. Experimental Mechanics 14, 440–444 (1974). https://doi.org/10.1007/BF02324024
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DOI: https://doi.org/10.1007/BF02324024