What is The Correct Mechanical Model of Aorta Artery

Year 2017, Volume: 9 Issue: 2, 138 - 146, 04.07.2017

Kadir Mercan , Ömer Civalek

https://doi.org/10.24107/ijeas.322526

Cited By: 1

Abstract

Aorta artery is the most vital
artery in humans and almost all animals. Aorta artery is also the largest
artery in human body. This artery is the first artery coming out from the left
ventricle of the heart and extending down to the abdomen, where it splits into
two smaller iliac arteries. Aorta artery conveys oxygenated blood to all parts
of the body so that this artery is the one, which is under the influence of the
highest blood pressure. It is well known that aorta artery consists of three
main layers, which cover five sub-layers. In this paper, we aimed to show the
difference between functionally graded material (FGM) and laminated composite
material and to show which model fits to the structure of aorta artery.

Keywords

Aorta artery, composite materials, functionally graded materials, laminated composite materials

References

• [1] Gozna, E.R., Marble, A.E., Shaw, A., Holland, J.G., Age-Related Changes in Mechanics of Aorta and Pulmonary-Artery of Man. Journal of Applied Physiology, 36(4), 407-411, 1974.
• [2] Han, H.C., A biomechanical model of artery buckling. Journal of Biomechanics, 40(16), 3672-3678, 2007.
• [3] Han, H.C., The Theoretical Foundation for Artery Buckling Under Internal Pressure. Journal of Biomechanical Engineering-Transactions of the Asme, 131(12), 2009.
• [4] Lee, Y.U., Hayman, D., Sprague, E.A., Han, H.C., Effects of Axial Stretch on Cell Proliferation and Intimal Thickness in Arteries in Organ Culture. Cellular and Molecular Bioengineering, 3(3), 286-295, 2010.
• [5] Lee, Y.U., Luo, J., Sprague, E., Han, H.C., Comparison of Artery Organ Culture and Co-culture Models for Studying Endothelial Cell Migration and Its Effect on Smooth Muscle Cell Proliferation and Migration. Annals of Biomedical Engineering, 38(3), 801-812, 2010.
• [6] Datir, P., Lee, A.Y., Lamm, S.D., Han, H.C., Effects of Geometric Variations on the Buckling of Arteries. International Journal of Applied Mechanics, 3(2), 385-406, 2011.
• [7] Hayman, D.M., Xiao, Y.M., Yao, Q.P., Jiang, Z.L., Lindsey, M.L., Han, H.C., Alterations in Pulse Pressure Affect Artery Function. Cellular and Molecular Bioengineering, 5(4), 474-487, 2012.
• [8] Liu, Q., Han, H.C., Mechanical buckling of artery under pulsatile pressure. Journal of Biomechanics, 45(7), 1192-1198, 2012.
• [9] Garcia, J.R., Lamm, S.D., Han, H.C., Twist buckling behavior of arteries. Biomechanics and Modeling in Mechanobiology, 12(5), 915-927, 2013.
• [10] Han, H.C., Chesnutt, J.K.W., Garcia, J.R., Liu, Q., Wen, Q., Artery Buckling: New Phenotypes, Models, and Applications. Annals of Biomedical Engineering, 41(7), 1399-1410, 2013.
• [11] Lee, A.Y., Sanyal, A., Xiao, Y.M., Shadfan, R., Han, H.C., Mechanical instability of normal and aneurysmal arteries. Journal of Biomechanics, 47(16), 3868-3875, 2014.
• [12] Liu, Q., Wen, Q., Mottahedi, M., Han, H.C., Artery buckling analysis using a four-fiber wall model. Journal of Biomechanics, 47(11), 2790-2796, 2014.
• [13] Xiao, Y.M., Hayman, D., Khalafvand, S.S., Lindsey, M.L., Han, H.C., Artery buckling stimulates cell proliferation and NF-kappa B signaling. American Journal of Physiology-Heart and Circulatory Physiology, 307(4), H542-H551, 2014.
• [14] Zhang, J.Z., Liu, Q., Han, H.C., An In Vivo Rat Model of Artery Buckling for Studying Wall Remodeling. Annals of Biomedical Engineering, 42(8), 1658-1667, 2014.
• [15] Khalafvand, S.S., Han, H.C., Stability of Carotid Artery Under Steady-State and Pulsatile Blood Flow: A Fluid-Structure Interaction Study. Journal of Biomechanical Engineering-Transactions of the Asme, 137(6), 2015.
• [16] Luetkemeyer, C.M., James, R.H., Deuarakonda, S.T., Le, V.P., Liu, Q., Han, H.C., Wagenseil, J.E., Critical buckling pressure in mouse carotid arteries with altered elastic fibers. Journal of the Mechanical Behavior of Biomedical Materials, 46, 69-82, 2015.
• [17] Qi, N., Gao, H., Ogden, R.W., Hill, N.A., Holzapfel, G.A., Han, H.C., Luo, X.Y., Investigation of the optimal collagen fibre orientation in human iliac arteries. Journal of the Mechanical Behavior of Biomedical Materials, 52, 108-119, 2015.
• [18] Sanyal, A., Han, H.C., Artery buckling affects the mechanical stress in atherosclerotic plaques. Biomedical Engineering Online, 14, 2015.
• [19] Fatemifar, F., Han, H.C., Effect of Axial Stretch on Lumen Collapse of Arteries. Journal of Biomechanical Engineering-Transactions of the Asme, 138(12), 2016.
• [20] Mottahedi, M., Han, H.C., Artery buckling analysis using a two-layered wall model with collagen dispersion. Journal of the Mechanical Behavior of Biomedical Materials, 60, 515-524, 2016.
• [21] Mercan, K., Civalek, Ö., A Simple Buckling Analysis of Aorta Artery. International Journal of Engineering & Applied Sciences (IJEAS), 7(4), 34-44, 2016.
• [22] Mercan, K., Civalek, Ö., A Simple Buckling Analysis of Aorta Artery. International Journal of Engineering & Applied Sciences (IJEAS), 7(4), 34-44, 2015.
• [23] Holzapfel, G.A., Sommer, G., Gasser, C.T., Regitnig, P., Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling. American Journal of Physiology-Heart and Circulatory Physiology, 289(5), H2048-H2058, 2005.
• [24] Mercan, K., Ersoy, H., Civalek, O., Free vibration of annular plates by discrete singular convolution and differential quadrature methods. Journal of Applied and Computational Mechanics, 2(3), 128-133, 2016.
• [25] Demir, Ç., Akgöz, B., Erdinç, M.C., Mercan, K., Civalek, Ö., ELASTİK BİR MALZEME İLE TEMAS HALİNDE OLAN GRAFEN TABAKANIN TİTREŞİM HESABI. Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 32(2), 2017.
• [26] Mercan, K., Civalek, Ö., Buckling analysis of Silicon carbide nanotubes (SiCNTs) with surface effect and nonlocal elasticity using the method of HDQ. Composites Part B: Engineering, 114, 34-45, 2017.
• [27] Loy, C.T., Lam, K.Y., Reddy, J.N., Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences, 41(3), 309-324, 1999.
• [28] Civalek, Ö., Demir, Ç., Akgöz, B., Static analysis of single walled carbon nanotubes (SWCNT) based on Eringen’s nonlocal elasticity theory. International Journal of Engineering and Applied Sciences, 2(1), 47-56, 2009.
• [29] Civalek, Ö., Korkmaz, A., Demir, Ç., Discrete singular convolution approach for buckling analysis of rectangular Kirchhoff plates subjected to compressive loads on two-opposite edges. Advances in Engineering Software, 41(4), 557-560, 2010.
• [30] Gürses, M., Akgöz, B., Civalek, Ö., Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation. Applied Mathematics and Computation, 219(6), 3226-3240, 2012.
• [31] Akgöz, B., Civalek, Ö., A novel microstructure-dependent shear deformable beam model. International Journal of Mechanical Sciences, 99, 10-20, 2015.
• [32] Demir, Ç., Civalek, Ö., Nonlocal Deflection Of Microtubules Under Point Load. International Journal of Engineering and Applied Sciences, 7(3), 33-39, 2015.
• [33] Emsen, E., Mercan, K., Akgöz, B., Civalek, Ö., Modal analysis of tapered beam-column embedded in Winkler elastic foundation. International Journal of Engineering & Applied Sciences, 7(1), 25-35, 2015.
• [34] Mercan, K., Demir, C., Akgöz, B., Civalek, Ö., Coordinate Transformation for Sector and Annular Sector Shaped Graphene Sheets on Silicone Matrix. International Journal of Engineering & Applied Sciences (IJEAS), 7(2), 56-73, 2015.
• [35] Demir, Ç., Civalek, Ö., Nonlocal Finite Element Formulation for Vibration. International Journal of Engineering & Applied Sciences (IJEAS), 8(2), 109-117, 2016.
• [36] Mercan, K., Civalek, Ö., Buckling Analysis of Silicon Carbide Nanotubes (SiCNTs). International Journal of Engineering & Applied Sciences (IJEAS), 8(2), 101-108, 2016.