Physical theory of tension in thick-walled blood vessels in equilibrium

Article type: Research Article

Authors: Oka, Syoten^a | Azuma, Takehiko^b

Affiliations: [a] Department of Physics, Tokyo Metropolitan University, Setagaya, Tokyo, Japan | [b] Department of Physiology, Shinshu University, Matsumoto, Japan

Abstract: A general formula has been derived rigorously for the circumferential tension in a hollow cylindrical tube in equilibrium under constant internal and external pressure. The relationship between our formula and the law of Laplace is discussed. It is shown that the circumferential tension may take positive or negative value, depending upon the pressure and the radius of the tube. The stress distribution in a tube wall with Hookean elasticity is discussed in detail with special reference to sk-plane, where s is the radius ratio and k is the pressure ratio.

DOI: 10.3233/BIR-1970-7203

Journal: Biorheology, vol. 7, no. 2, pp. 109-117, 1970