Abstract
Aneurysms are pathological, localized. blood-filled dilatations of the blood vessels. Their origin may be congenital, traumatic. arteriosclerotic or infectious (Photon et al., 1977). The congenital (saccular) aneurysms, which make up over 90% of intracranial aneurysms, are generally found in and about the circle of Willis and especially at bifurcations. Most symptomatic aneurysms range in size from 0.5 to 1.5 cm in diameter. There are also giant aneurysms which expand to 3 cm in diameter or more without rupturing. They are a major cause of stroke-related morbidity and mortality. Saccular aneurysms may eventually rupture or they may expand slowly. Dilatation of the vessel and the eventual rupturing or expansion of the aneurysm bag all involve large deformations of the relevant membrane. In this paper we propose the idea that aneurysm rupture can be considered to be a biomechanical instability problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akkas, N. (1278) On the dynamic snap-out instability of inflated nonlinear spherical membranes. Int J Nonlinear Mech 13:177–183.
Benedict, R., Wineman, A., and Yang, W.H. (1979) The determination of limiting pressure in simultaneous elongation and inflation of nonlinear elastic tubes. Int Solids Struct 15: 241–249.
Bogen, D.K. and McMahon, T.A. (1979) Do cardiac aneurysms blow out? Biophys J 27: 301–016.
Brush, D. O. and Almroth, B. O. (1975) Buckling of Bars, Plates and Shells. McGraw-Hill. New York.
Crane, H.D. (1973) Switching properties in bubbles, balloons, capillaries and alveoli. J Biomech 6: 411–422.
Crisp, J.D.C. and Hart-Smith, L.J. (1971) Multilobed inflated membranes: Their stability under finite deformation. Int J Solids Struct 7: 643–861.
Decraemer W.F., Maes, M,A., and Vanhuyse, V.J. (1980) An elastic stress-strain relation for soft biological tissues based on a structural model. J Biomechanics 13: 46S - 468.
Engin. A.E. and Akas, M. (1963) Etiology and Biomechanics of hernial sac formation. J Biomed Engrg 5: 329–335.
Hung, E.J. and Botwin, M.R. (1975) Mechanics of rupture of cerebral sacoular aneurysms. J Biomech 8: 385–392.
Hicinovic, D., Trafimow, J., and Sumarac, D. (1987) Simple constitutive model for a cortical bone. Journal Biomech 20: 779–764.
Mrsy, I., McGill. P.L., and Jan, R.F. (1972) Mechanical behavior of ventricular aneurysms. Bull. Math Bid 40: 451–464.
Mccney, M. (1940) A theory cf large elastic deformation. J Appl Phys 11: 522–592.
Needleman, A. (1977) Inflat on of spherical rubber balloons. Int J Solids Struct 13:409–421
Pertold, (1987) Fln the paths of fluid particles ‘n an ax’symmetrical aneurysm. J Biomech 20: 311–317.
Padhakrishnan, S., Ghista, D.N., and Javaraman, G. (1960) Mechanical analysis of the development of left ventricular aneurysms. J Biomech 13: 1031–1039.
Photon, A.L., Jackson, E., Gleave, J., and Rumbaugh. C.T. (1977) Congenital and traumatic intracran,al aneurysms. CIBA Clinical Symp 29: 1–40.
Peloar, L.R.G. (1975) The Physics cf Rubber Elast city 3rd edn. Clarendon, Oxford.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media New York
About this chapter
Cite this chapter
Akkas, N. (1990). Aneurysms as a Biomechanical Instability Problem. In: Mosora, F., Caro, C.G., Krause, E., Schmid-Schönbein, H., Baquey, C., Pelissier, R. (eds) Biomechanical Transport Processes. NATO ASI Series, vol 193. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1511-8_32
Download citation
DOI: https://doi.org/10.1007/978-1-4757-1511-8_32
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-1513-2
Online ISBN: 978-1-4757-1511-8
eBook Packages: Springer Book Archive