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Advances in Nano Research Volume 8, Number 3, April 2020 , pages 255-264 DOI: https://doi.org/10.12989/anr.2020.8.3.255 |
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Post-buckling analysis of aorta artery under axial compression loads |
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Şeref Doğuşcan Akbaş, Kadir Mercan and Ömer Civalek
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| Abstract | ||
| Buckling and post-buckling cases are often occurred in aorta artery because it affected by higher pressure. Also, its stability has a vital importance to humans and animals. The loss of stability in arteries may lead to arterial tortuosity and kinking. In this paper, post-buckling analysis of aorta artery is investigated under axial compression loads on the basis of Euler-Bernoulli beam theory by using finite element method. It is known that post-buckling problems are geometrically nonlinear problems. In the geometrically nonlinear model, the Von Karman nonlinear kinematic relationship is employed. Two types of support conditions for the aorta artery are considered. The considered non-linear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. The aorta artery is modeled as a cylindrical tube with different average diameters. In the numerical results, the effects of the geometry parameters of aorta artery on the post-buckling case are investigated in detail. Nonlinear deflections and critical buckling loads are obtained and discussed on the post-buckling case. | ||
| Key Words | ||
| aorta artery; post-buckling analysis; finite element method; Von Karman nonlinear | ||
| Address | ||
| (1) Şeref Doğuşcan Akbaş: Bursa Technical University, Department of Civil Engineering, Yıldırım Campus, 16330, Yıldırım/Bursa, Turkey; (2) Kadir Mercan: Mehmet Akif Ersoy University, Faculty of Engineering-Architecture, Civil Engineering Department, Division of Mechanics, 15030, Burdur, Turkey; (3) Ömer Civalek: China Medical University, Taichung, Taiwan. | ||