Research Article
Year 2015,
Volume: 3 Issue: 1, 29 - 33, 14.11.2015
Abstract
Deformation due to pressure variations of human blood vessel embedded in a soft tissue is considered. Due to symmetry it suffices to consider only a cross section subject to a uniform pressure acting normally through the vessel's wall. The nonlinearity of the vessel's wall is modeled by an isotropic hyperelastic Fung type stress strain model. The surrounding soft tissue is modeled by infinitely many nonlinear springs with two parameters. The equations of equilibrium are formulated as nonlinear boundary value problem. A differential correction numerical scheme is used to solve the nonlinear governing equations and the symmetrical post-buckling shapes of the cross section are presented.
References
- Wang, C.Y., Watson, L.T., and Kamat, M.P., Buckling, Postbuckling, and Flow Rate Through a Tethered Elastic Cylinder Under External Pressure, J Appl. Mech., 1983;50:13-18.
- Cypher A., Elgindi, M., Kouriachi, H., Peschman, D., and Shotwell, R., Flow Rate Through a Blood Vessel Deformed Due to a Uniform Pressure, Journal of Biomaterial and Nanobiotechnology,2011;2:369- 377.
- Pedley, T. J., Brook, B. S., Seymour, R. S., Blood Pressure and Flow Rate in the Giraffe Jugular Vein, Phil. Trans: R. Soc. Lond. B., 1996;351:855-66.
- Fung, Y.C., Biomechanics, Mechanical Properties of Living Tissues, Springer-Berlag, 1990.
- Tanaka, T. T., and Fung, Y. C, "Elastic and Inelastic Properties of the Canine Aorta and Their Variation along the Aortic Tree," J. Biomech., 1974;7:357-70.
- Fung, Y.C.,S. Q. Liu, and J. B. Zhou Remodeling of the Constitutive Equation While a Blood Vessel Remodels
- Biomechanical Engineering, 1993;115:453-59.
- Ghazy, M., and Newman. Solvability Conditions at Equilibrium Points. AIAA/AAS Astrodynamics Specialist Conference, Toronto, Ontario, Canada, 2-5 August 2010. Stress, Journal of
Year 2015,
Volume: 3 Issue: 1, 29 - 33, 14.11.2015
Abstract
.
Keywords
References
- Wang, C.Y., Watson, L.T., and Kamat, M.P., Buckling, Postbuckling, and Flow Rate Through a Tethered Elastic Cylinder Under External Pressure, J Appl. Mech., 1983;50:13-18.
- Cypher A., Elgindi, M., Kouriachi, H., Peschman, D., and Shotwell, R., Flow Rate Through a Blood Vessel Deformed Due to a Uniform Pressure, Journal of Biomaterial and Nanobiotechnology,2011;2:369- 377.
- Pedley, T. J., Brook, B. S., Seymour, R. S., Blood Pressure and Flow Rate in the Giraffe Jugular Vein, Phil. Trans: R. Soc. Lond. B., 1996;351:855-66.
- Fung, Y.C., Biomechanics, Mechanical Properties of Living Tissues, Springer-Berlag, 1990.
- Tanaka, T. T., and Fung, Y. C, "Elastic and Inelastic Properties of the Canine Aorta and Their Variation along the Aortic Tree," J. Biomech., 1974;7:357-70.
- Fung, Y.C.,S. Q. Liu, and J. B. Zhou Remodeling of the Constitutive Equation While a Blood Vessel Remodels
- Biomechanical Engineering, 1993;115:453-59.
- Ghazy, M., and Newman. Solvability Conditions at Equilibrium Points. AIAA/AAS Astrodynamics Specialist Conference, Toronto, Ontario, Canada, 2-5 August 2010. Stress, Journal of
There are 8 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | November 14, 2015 |
| Submission Date | November 14, 2015 |
| Published in Issue | Year 2015 Volume: 3 Issue: 1 |