Year 2015, Volume 3, Issue 1, Pages 29 - 33 2015-11-14

Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue

Mohammed Elgindi [1] , Dongming Wei [2] , Mohammed Ghazy [3]

353 472

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.
Blood vessel, Blood pressure, Buckling and Post-buckling, Nonlinear boundary value problem
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Primary Language tr
Journal Section Articles
Authors

Author: Mohammed Elgindi

Author: Dongming Wei

Author: Mohammed Ghazy

Dates

Publication Date: November 14, 2015

Bibtex @ { apjes29219, journal = {Akademik Platform Mühendislik ve Fen Bilimleri Dergisi}, issn = {}, eissn = {2147-4575}, address = {Akademik Platform}, year = {2015}, volume = {3}, pages = {29 - 33}, doi = {10.5505/apjes.2015.96168}, title = {Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue}, key = {cite}, author = {Elgindi, Mohammed and Wei, Dongming and Ghazy, Mohammed} }
APA Elgindi, M , Wei, D , Ghazy, M . (2015). Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue. Akademik Platform Mühendislik ve Fen Bilimleri Dergisi, 3 (1), 29-33. DOI: 10.5505/apjes.2015.96168
MLA Elgindi, M , Wei, D , Ghazy, M . "Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 3 (2015): 29-33 <http://dergipark.org.tr/apjes/issue/2193/29219>
Chicago Elgindi, M , Wei, D , Ghazy, M . "Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 3 (2015): 29-33
RIS TY - JOUR T1 - Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue AU - Mohammed Elgindi , Dongming Wei , Mohammed Ghazy Y1 - 2015 PY - 2015 N1 - doi: 10.5505/apjes.2015.96168 DO - 10.5505/apjes.2015.96168 T2 - Akademik Platform Mühendislik ve Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 29 EP - 33 VL - 3 IS - 1 SN - -2147-4575 M3 - doi: 10.5505/apjes.2015.96168 UR - https://doi.org/10.5505/apjes.2015.96168 Y2 - 2019 ER -
EndNote %0 Academic Platform Journal of Engineering and Science Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue %A Mohammed Elgindi , Dongming Wei , Mohammed Ghazy %T Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue %D 2015 %J Akademik Platform Mühendislik ve Fen Bilimleri Dergisi %P -2147-4575 %V 3 %N 1 %R doi: 10.5505/apjes.2015.96168 %U 10.5505/apjes.2015.96168
ISNAD Elgindi, Mohammed , Wei, Dongming , Ghazy, Mohammed . "Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 3 / 1 (November 2015): 29-33. https://doi.org/10.5505/apjes.2015.96168
AMA Elgindi M , Wei D , Ghazy M . Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue. APJES. 2015; 3(1): 29-33.
Vancouver Elgindi M , Wei D , Ghazy M . Post-buckling shapes of a Blood Vessel Embedded in Nonlinear Soft Tissue. Akademik Platform Mühendislik ve Fen Bilimleri Dergisi. 2015; 3(1): 33-29.