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Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue
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.
Keywords
References
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Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
November 14, 2015
Submission Date
November 14, 2015
Acceptance Date
-
Published in Issue
Year 2015 Volume: 3 Number: 1
APA
Elgindi, M., Wei, D., & Ghazy, M. (2015). Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue. Academic Platform - Journal of Engineering and Science, 3(1), 29-33. https://doi.org/10.5505/apjes.2015.96168
AMA
1.Elgindi M, Wei D, Ghazy M. Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue. APJES. 2015;3(1):29-33. doi:10.5505/apjes.2015.96168
Chicago
Elgindi, Mohammed, Dongming Wei, and Mohammed Ghazy. 2015. “Post-Buckling Shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue”. Academic Platform - Journal of Engineering and Science 3 (1): 29-33. https://doi.org/10.5505/apjes.2015.96168.
EndNote
Elgindi M, Wei D, Ghazy M (April 1, 2015) Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue. Academic Platform - Journal of Engineering and Science 3 1 29–33.
IEEE
[1]M. Elgindi, D. Wei, and M. Ghazy, “Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue”, APJES, vol. 3, no. 1, pp. 29–33, Apr. 2015, doi: 10.5505/apjes.2015.96168.
ISNAD
Elgindi, Mohammed - Wei, Dongming - Ghazy, Mohammed. “Post-Buckling Shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue”. Academic Platform - Journal of Engineering and Science 3/1 (April 1, 2015): 29-33. https://doi.org/10.5505/apjes.2015.96168.
JAMA
1.Elgindi M, Wei D, Ghazy M. Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue. APJES. 2015;3:29–33.
MLA
Elgindi, Mohammed, et al. “Post-Buckling Shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue”. Academic Platform - Journal of Engineering and Science, vol. 3, no. 1, Apr. 2015, pp. 29-33, doi:10.5505/apjes.2015.96168.
Vancouver
1.Mohammed Elgindi, Dongming Wei, Mohammed Ghazy. Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue. APJES. 2015 Apr. 1;3(1):29-33. doi:10.5505/apjes.2015.96168