[1] Lindsay, M., Dietz, H., Lessons on the pathogenesis of aneurysm from heritable conditions, Nature, 473(7347), 2011, 308–31.
[2] Schermerhorn, M., A 66-year-old man with an abdominal aortic aneurysm: review of screening and treatment, JAMA, 302(18), 2009, 2015–2022.
[3] Corneliussen, A.H., Shield, R.T., Finite deformation of elastic membranes with application to the stability of an inflated and extended tube, Archive for Rational Mechanics and Analysis, 7, 1961, 273–304.
[4] Biot, M.A., Mechanics of Incremental Deformations, Wiley, 1965.
[5] Gonçalves, P.B., Pamplona, D.C., Lopes, S.R.X., Finite deformations of an initially stressed cylindrical shell under internal pressure, International Journal of Mechanical Sciences, 50(1), 2008, 92-103.
[6] Haughton D.M., Ogden, R.W., Bifurcation of inflated circular cylinders of elastic material under axial loading - I. membrane theory for thin-walled tubes, Journal of the Mechanics and Physics of Solids, 27(3), 1979, 179-212.
[7] Humphrey, J.D., Eberth, J.F., Dye, W.W., Gleason, R.L., Fundamental role of axial stress in compensatory adaptations by arteries, Journal of Biomechanics, 42(1), 2009, 1–8.
[8] Pamplona, D.C., Gonçalves, P.B., Lopes, S.R.X., Finite deformations of cylindrical membrane under internal pressure, International Journal of Mechanical Sciences, 48(6), 2006, 683–696.
[9] Ogden, R.W., Incremental elastic motions superimposed on a finite deformation in the presence of an electromagnetic field, International Journal of Non-Linear Mechanics, 44(5), 2009, 570–580.
[10] Merodio, J., Haughton, D., Bifurcation of thick-walled cylinder shells and the mechanical response of arterial tissue affected by marfan’s syndrome, Mechanics Research Communications, 37(1), 2010, 1–6.
[11] Rodrı́guez, J., Merodio, J., A new derivation of the bifurcation conditions of inflated cylindrical membranes of elastic material under axial loading. Application to aneurysm formation, Mechanics Research Communications, 38, 2010, 203–210.
[12] Alhayani, A.A., Giraldo, J.A., Rodrı́guez, J., Merodio, J., Computational modelling of bulging of inflated cylindrical shells applicable to aneurysm formation and propagation in arterial wall tissue, Finite Elements in Analysis and Design, 73, 2013, 20–29.
[13] El Hamdaoui, M., Merodio, J., Ogden, R.W., Rodrı́guez, J., Finite elastic deformations of transversely isotropic circular cylindrical tubes, International Journal of Solids and Structures, 51(5), 2014, 1188–1196.
[14] El Hamdaoui, M., Merodio, J., Azimuthal shear of doubly fibre-reinforced, non-linearly elastic cylindrical tubes, Journal of Engineering Mathematics, 95, 2015, 347–357.
[15] El Hamdaoui, M., Merodio, J., Ogden, R.W., Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube, Journal of Engineering Mathematics, 109, 2018, 31–45.
[16] Fu, Y.B., Liu, J.L., Francisco, G.S., Localized bulging in an inflated cylindrical tube of arbitrary thickness - the effect of bending stiffness, Journal of the Mechanics and Physics of Solids, 90, 2016, 45-60.
[17] Amabili, M., Breslavsky, I.D., Reddy, J.N., Nonlinear higher-order shell theory for incompressible biological hyperelastic materials, Computer Methods in Applied Mechanics and Engineering, 346, 2019, 841-861.
[18] Dehghani, H., Desena-Galarza, D., Jha, N.K., Reinoso, J., Merodio, J., Bifurcation and post-bifurcation of an inflated and extended residually-stressed circular cylindrical tube with application to aneurysms initiation and propagation in arterial wall tissue, Finite Elements in Analysis and Design, 161, 2019, 51–60.
[19] Font, A., Jha, N.K. Dehghani, H., Reinoso, J., Merodio, J., Modelling of residually stressed, extended and inflated cylinders with application to aneurysms, Mechanics Research Communications, 111, 2021, 103643.
[20] Hejazi, M., Hsiang, Y., Phani, A.S., Fate of a bulge in an inflated hyperelastic tube: theory and experiment, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477, 2021, 20200837.
[21] Haughton, D., Ogden, R., Bifurcation of inflated circular cylinders of elastic material under axial loading-II. exact theory for thick-walled tubes, Journal of the Mechanics and Physics of Solids, 27, 1979, 489–512.
[22] Haughton, D.M., Merodio, J., The elasticity of arterial tissue affected by Marfan’s syndrome, Mechanics Research Communications, 36, 2009, 659–668.
[23] Dorfmann, L., Ogden, R.W., The effect of residual stress on the stability of a circular cylindrical tube, Journal of Engineering Mathematics, 127, 2021, 9.
[24] Melnikov, A., Ogden, R.W., Dorfmann, L., Merodio, J., Bifurcation analysis of elastic residually-stressed circular cylindrical tubes, International Journal of Solids and Structures, 226-227, 2021, 111062.
[25] Desena-Galarza, D., Dehghani, H., Jha, N.K., Reinoso, J., Merodio, J., Computational bifurcation analysis for hyperelastic residually stressed tubes under combined inflation and extension and aneurysms in arterial tissue, Finite Elements in Analysis and Design, 197, 2021, 103636.
[26] Barzó, P., Marmarou, A., Fatouros, P., Hayasaki, K., Corwin, F., Contribution of vasogenic and cellular edema to traumatic brain swelling measured by diffusion-weighted imaging, Journal of Neurosurgery, 87(6), 1997, 900-907.
[27] D’Lima, D.D., Hashimoto, S., Chen, P.C., Colwell, Jr., C.W., Lotz, M.K., Impact of mechanical trauma on matrix and cells, Clinical Orthopaedics and Related Research, 391, 2001, S90–S99.
[28] Tracey, K.J., The inflammatory reflex, Nature, 420, 2002, 853-859.
[29] Tsai, H., Pence, T.J., Kirkinis, E., Swelling induced finite strain flexure in a rectangular block of an isotropic elastic material, Journal of Elasticity, 75, 2004, 69–89.
[30] Zamani, V., Pence, T.J., Demirkoparan, H., Topol, H., Hyperelastic models for the swelling of soft material plugs in confined spaces, International Journal of Non-Linear Mechanics, 106, 2018, 297–309.
[31] Demirkoparan, H., Pence, T.J., Swelling-induced twisting and shearing in fiber composites: the effect of the base matrix mechanical response, Emergent Materials, 3, 2020, 87–101.
[32] Gou, K., Topol, H., Demirkopraran, H., Pence, T.J., Stress-swelling finite element modeling of cervical response with homeostatic collagen fiber distributions, Journal of Biomechanical Engineering, 142(8), 2020, 081002.
[33] Topol, H., Gou, K., Demirkoparan, H., Pence, T.J., Hyperelastic modeling of the combined effects of tissue swelling and deformation-related collagen renewal in fibrous soft tissue, Biomechanics and Modeling in Mechanobiology, 17(6), 2018, 1543–1567.
[34] Demirkoparan, H., Merodio, J., Swelling and axial propagation of bulging with application to aneurysm propagation in arteries, Mathematics and Mechanics of Solids, 25(7), 2020, 1459–1471.
[35] Topol, H., Al-Chlaihawi, M.J., Demirkoparan, H., Merodio, J., Bulging initiation and propagation in fiber-reinforced swellable Mooney-Rivlin membranes, Journal of Engineering Mathematics, 128, 2021, 8.
[36] Al-Chlaihawi, M.J., Topol, H., Demirkoparan, H., Merodio, J., On prismatic and bending bifurcations of fiber-reinforced elastic membranes under swelling with application to aortic aneurysms, Mathematics and Mechanics of Solids, 2022, DOI: 10.1177/10812865211058767.
[37] Chagnon, G., Rebouah, M., Favier, D., Hyperelastic energy densities for soft biological tissues: A review, Journal of Elasticity, 120, 2015, 129–160.
[38] Treloar, L.R.G., The Physics of Rubber Elasticity, Third Edition, Clarendon Press, Oxford, 1975.
[39] Demirkoparan, H., Pence, T.J., Swelling of an internally pressurized nonlinearly elastic tube with fiber reinforcing, International Journal of Solids and Structures, 44(11-12), 2007, 4009–4029.
[40] Demirkoparan, H., Pence, T.J., Torsional swelling of a hyperelastic tube with helically wound reinforcement, Journal of Elasticity, 92, 2008, 61–90.
[41] Gundiah, N., Ratcliffe, M.B., Pruitt, L.A., The biomechanics of arterial elastin. Journal of the Mechanical Behavior of Biomedical Materials, 2(3), 2009, 288–296.
[42] Gasser, T.C., Ogden, R.W., Holzapfel, G.A., Hyperelastic modelling of arterial layers with distributed collagen fibre orientations, Journal of the Royal Society. Interface, 3, 2006, 15–35.
[43] Topol, H., Jha, N.K., Demirkoparan, H., Stoffel, M., Merodio, J., Bulging of inflated membranes made of fiber reinforced materials with different natural configurations, European Journal of Mechanics - A/Solids, 96, 2022, 104670.
[44] Holzapfel, G.A., Gasser, T.C., Ogden, R.W., A new constitutive framework for arterial wall mechanics and a comparative study of material models, Journal of Elasticity, 61, 2000, 1-48.
[45] Holzapfel, G.A., Gasser, T.C., Ogden, R.W., Comparison of a multi-layer structural model for arterial walls with a Fung-type model, and issues of material stability, Journal of Biomechanical Engineering, 126(2), 2004, 264–275.
[46] Holzapfel, G.A., Ogden, R.W., Constitutive modelling of arteries, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466, 2010, 1551-1596.
[47] Ogden, R.W., Non-Linear Elastic Deformations, Ellis Horwood, Chichester, 1984.
[48] Alhayani, A.A., Rodriguez, J., Merodio, J., Competition between radial expansion and axial propagation in bulging of inflated cylinders with application to aneurysms propagation in arterial wall tissue, International Journal of Engineering Science, 85, 2014, 74–89.
[49] Demirkoparan, H., Merodio, J., Bulging bifurcation of inflated circular cylinders of doubly fiber-reinforced hyperelastic material under axial loading and swelling, Mathematics and Mechanics of Solids, 22, 2017, 666–682.
[50] Qiu, G.Y., Pence, T.J., Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids, Journal of Elasticity, 49, 1997, 1–30.
[51] Merodio, J., Ogden, R.W., Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation, International Journal of Solids and Structures, 40(18), 2003, 4707–4727.
[52] Topol, H., Demirkoparan, H., Pence, T.J., Wineman, A., A theory for deformation dependent evolution of continuous fiber distribution applicable to collagen remodeling, IMA Journal of Applied Mathematics, 79(5), 2014, 947–977.
[53] Ogden, R.W., Saccomandi, G., Introducing mesoscopic information into constitutive equations for arterial walls, Biomechanics and Modeling in Mechanobiology, 6, 2007, 333–344.
[54] Topol, H., Demirkoparan, H., Pence, T.J., Wineman, A., Time-evolving collagen-like structural fibers in soft tissues: Biaxial loading and spherical inflation, Mechanics of Time-Dependent Materials, 21, 2017, 1–29.
[55] Topol, H., Demirkoparan, H., Pence, T.J., On collagen fiber morphoelasticity and homeostatic remodeling tone, Journal of the Mechanical Behavior of Biomedical Materials, 113, 2021, 104154.
[56] Topol, H., Demirkoparan, H., Pence, T.J., Modeling stretch-dependent collagen fiber density, Mechanics Research Communications, 116, 2021, 103740.
[57] Topol, H., Demirkoparan, H., Pence, T.J., Fibrillar collagen: A review of the mechanical modeling of strain mediated enzymatic turnover, Applied Mechanics Reviews, 73(5), 2021, 050802.