A. , U. Gurhan, and E. Aybar, Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells, International Journal of Non-Linear Mechanics, vol.34, issue.3, pp.391-404, 1999.

M. Amabili, Non-Linear Vibrations of Shells, International Journal of Non-Linear Mechanics, vol.58, pp.233-257, 2003.
DOI : 10.4203/csets.19.13

M. Amabili and I. Breslavsky, Displacement dependent pressure load for finite deflection of doubly-curved thick shells and plates, International Journal of Non-Linear Mechanics, vol.77, pp.265-273, 2015.
DOI : 10.1016/j.ijnonlinmec.2015.09.007

A. , M. Kostas, K. Rosaire, M. Michael, P. Raymond et al., A three-layer model for buckling of a human aortic segment under specific flow-pressure conditions, International Journal for Numerical Methods in Biomedical Engineering, vol.28, issue.5, pp.495-512

A. , M. Junuthula, and R. , A new non-linear higher-order shear deformation theory for large-amplitude vibrations of laminated doubly curved shells, International Journal of Non-Linear Mechanics, vol.45, issue.4, pp.409-418

K. Atkinson, An Introduction to Numerical Analysis, 1989.

I. Breslavsky, M. Amabili, and M. Legrand, Nonlinear vibrations of thin hyperelastic plates, Journal of Sound and Vibration, vol.333, issue.19, pp.4668-4681, 2014.
DOI : 10.1016/j.jsv.2014.04.028
URL : https://hal.archives-ouvertes.fr/hal-00983980

I. Breslavsky, M. Amabili, and M. Legrand, Physically and geometrically non-linear vibrations of thin rectangular plates, International Journal of Non-Linear Mechanics, vol.58, pp.30-40, 2014.
DOI : 10.1016/j.ijnonlinmec.2013.08.009
URL : https://hal.archives-ouvertes.fr/hal-00864370

C. , Y. David, and H. , Stability and bifurcation of inflation of elastic cylinders, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.459, pp.137-156, 2003.

D. , E. Alan, C. Thomas, F. Yuri, K. Björn et al., AUTO 97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont), 1998.

G. , P. Batista, D. Cordeiro, P. , S. R. Xavier et al., Finite deformations of an initially stressed cylindrical shell under internal pressure, International Journal of Mechanical Sciences, vol.50, issue.1, pp.92-103, 2008.

Z. Guo, W. Shibin, L. Linan, J. Hongwei, W. Zhiyong et al., Inflation of stressed cylindrical tubes: an experimental study, Proceedings of SPIE. Volume 9234H. 2014. [hal-01303322]
URL : https://hal.archives-ouvertes.fr/hal-01303322

D. Haughton and R. Ogden, 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, vol.27, issue.5-6, pp.5-6, 1979.
DOI : 10.1016/0022-5096(79)90027-9
URL : https://hal.archives-ouvertes.fr/hal-01302310

J. Knowles, On a Class of Oscillations in the Finite-Deformation Theory of Elasticity, Journal of Applied Mechanics, vol.29, issue.2, pp.283-286, 1962.
DOI : 10.1115/1.3640542
URL : https://hal.archives-ouvertes.fr/hal-01298777

K. , P. Uri, Z. Ariel, J. David, and E. , General tube law for collapsible thin and thick-wall tubes, Journal of Biomechanics, vol.47, issue.10, pp.2378-2384

L. , S. Xavier, P. Batista, G. , D. Cordeiro et al., Influence of initial geometric imperfections on the stability of thick cylindrical shells under internal pressure, Communications in Numerical Methods in Engineering, vol.23, issue.6, pp.577-597, 2007.

L. and A. E. Hough, A Treatise on the Mathematical Theory of Elasticity, 1927.

L. and A. Isakovich, Theory of Elasticity, 2005.

R. Ogden, Non-Linear Elastic Deformations, 1997.

P. , T. Leon, and C. , Practical Numerical Algorithms for Chaotic Systems, 1989.

W. , A. Aybar, and E. , Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure, International Journal of Non-Linear Mechanics, vol.7, issue.5, pp.539-555, 1972.

Z. , Y. Xiaoyu, L. , and R. Ogden, Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure, International Journal of Solids and Structures, vol.4512, issue.11, pp.3410-3429, 2008.

Z. , Y. Xiaoyu, L. , and R. Ogden, Nonlinear axisymmetric deformations of an elastic tube under external pressure, European Journal of Mechanics-A/Solids, vol.29, issue.2, pp.216-229, 2010.

Z. , Y. Xiaoyu, L. Huiming, W. Raymond, O. et al., Three-dimensional non-linear buckling of thick-walled elastic tubes under pressure, International Journal of Non-Linear Mechanics, vol.48, pp.1-14