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Aneurysms as a Biomechanical Instability Problem

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Biomechanical Transport Processes

Part of the book series: NATO ASI Series ((NSSA,volume 193))

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.

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References

  • Akkas, N. (1278) On the dynamic snap-out instability of inflated nonlinear spherical membranes. Int J Nonlinear Mech 13:177–183.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Bogen, D.K. and McMahon, T.A. (1979) Do cardiac aneurysms blow out? Biophys J 27: 301–016.

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  • Brush, D. O. and Almroth, B. O. (1975) Buckling of Bars, Plates and Shells. McGraw-Hill. New York.

    Google Scholar 

  • Crane, H.D. (1973) Switching properties in bubbles, balloons, capillaries and alveoli. J Biomech 6: 411–422.

    Article  CAS  PubMed  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Engin. A.E. and Akas, M. (1963) Etiology and Biomechanics of hernial sac formation. J Biomed Engrg 5: 329–335.

    Article  Google Scholar 

  • Hung, E.J. and Botwin, M.R. (1975) Mechanics of rupture of cerebral sacoular aneurysms. J Biomech 8: 385–392.

    Article  CAS  PubMed  Google Scholar 

  • Hicinovic, D., Trafimow, J., and Sumarac, D. (1987) Simple constitutive model for a cortical bone. Journal Biomech 20: 779–764.

    Article  Google Scholar 

  • Mrsy, I., McGill. P.L., and Jan, R.F. (1972) Mechanical behavior of ventricular aneurysms. Bull. Math Bid 40: 451–464.

    Google Scholar 

  • Mccney, M. (1940) A theory cf large elastic deformation. J Appl Phys 11: 522–592.

    Article  Google Scholar 

  • Needleman, A. (1977) Inflat on of spherical rubber balloons. Int J Solids Struct 13:409–421

    Article  Google Scholar 

  • Pertold, (1987) Fln the paths of fluid particles ‘n an ax’symmetrical aneurysm. J Biomech 20: 311–317.

    Article  Google Scholar 

  • Padhakrishnan, S., Ghista, D.N., and Javaraman, G. (1960) Mechanical analysis of the development of left ventricular aneurysms. J Biomech 13: 1031–1039.

    Article  Google Scholar 

  • Photon, A.L., Jackson, E., Gleave, J., and Rumbaugh. C.T. (1977) Congenital and traumatic intracran,al aneurysms. CIBA Clinical Symp 29: 1–40.

    Google Scholar 

  • Peloar, L.R.G. (1975) The Physics cf Rubber Elast city 3rd edn. Clarendon, Oxford.

    Google Scholar 

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© 1990 Springer Science+Business Media New York

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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

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  • 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

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