. Xvv=xvv,

. Yvv=yvv,

. Zvv=zvv,

. Xu=,

. Xv=, Xv Yv Zv

. Xuu=,

. Xuv=, Xuv Yuv Zuv

. Xvv=, Xvv Yvv Zvv

S. Avril, M. Bonnet, A. Bretelle, M. Grediac, F. Hild et al., Overview of identification methods of mechanical parameters based on full-field measurements, Exp. Mech, vol.48, issue.4, pp.381-402, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00274639

L. R. Treloar, Strains in an inflated rubber sheet and the mechanism of bursting, Trans. of the Institution of Rubber Industry, vol.19, pp.201-212, 1944.

W. F. Brown and F. Thompson, Strength and failure characteristics of metal membranes in circular bulging, Trans. Am. Soc. of Mech. Engrs, vol.71, pp.575-585, 1949.

T. Tsakalakos, The bulge test-A comparison of theory and experiment for isotropic and anisotropic films, Thin Solid Films, vol.75, pp.293-305, 1981.

J. S. Mitchell, C. A. Zorman, T. Kicher, S. Roy, and M. Mehregany, Examination of bulge test for determining residual stress, Young's modulus, and Poisson's ratio of 3C-SiC thin films, J. Aerospace Eng, vol.16, issue.2, pp.46-54, 2003.

P. Seshaiyer, F. P. Hsu, A. D. Shah, S. K. Kyriacou, H. et al., Multiaxial mechanical behavior of human saccular aneurysms, Comput. Methods Biomech. Biomed. Eng, vol.4, issue.3, pp.281-289, 2001.

C. E. Miller, Determination of elastic parameters for human fetal membranes, J. Rheol, vol.23, pp.57-78, 1979.

T. Kriewall, N. Akkas, D. Bylski, J. Melvin, and B. Work, Mechanical-behavior of fetal dura mater under large axisymmetric inflation, J. Biomech. Eng.-T. ASME, issue.23, pp.71-76, 1983.

J. C. Selby and M. A. Shannon, Apparatus for measuring the finite load-deformation behavior of a sheet of epithelial cells cultured on a mesoscopic freestanding elastomer membrane, Rev. Sci. Instrum, vol.78, issue.9, p.94301, 2007.

V. Grolleau, G. Gary, and D. Mohr, Biaxial testing of sheet materials at high strain rates using viscoelastic bars, Exp. Mech, vol.48, pp.293-306, 2008.
DOI : 10.1007/s11340-007-9073-5

URL : https://hal.archives-ouvertes.fr/hal-00171907

J. E. Adkins and R. S. Rivlin, Large elastic deformation of isotropic materials. IX. The deformation of thin shells, Phil. Trans. R. Soc, vol.244, pp.505-532, 1952.

R. Hill, A theory of the plastic bulging of a metal diaphragm by lateral pressure, Phil. Mag, vol.41, pp.1133-1142, 1950.

E. Ross and W. Prager, On the theory of the bulge test, Q Appl. Math, vol.12, p.8691, 1954.

L. Meunier, G. Chagnon, D. Favier, L. Orgéas, and P. Vacher, Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber, Polym. Test, vol.27, pp.765-777, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00328231

M. Sasso, G. Palmieri, G. Chiappini, A. , and D. , Characterization of hyperelastic rubber-like materials by biaxial and uniaxial stretching tests based on optical methods, Polym. Test, vol.27, pp.995-1004, 2008.

V. Grolleau, H. Louche, V. Delobelle, A. Penin, G. Rio et al., , 2011.

, Assessment of tension-compression asymmetry of NiTi using circular bulge testing of thin plates, Scripta Materialia, vol.65, issue.4, pp.347-350

T. Dudderar, F. Koch, and E. Doerries, Measurement of the shapes of foil bulge-test samples, Exp. Mech, vol.17, pp.133-140, 1977.

A. S. Wineman, Large axisymmetric inflation of a nonlinear viscoelastic membrane by lateral pressure, Trans. Soc. Rheo, vol.20, issue.23, p.1976, 1976.

W. Yang and W. Feng, On axisymmetrical deformations of nonlinear membranes, J. Appl. Mech, vol.37, pp.1002-1011, 1970.

W. Klingbeil and R. Shield, Some numerical investigations on empirical strain energy functions in the large axisymmetric extensions of rubber membranes, Z. Angew. Math. Phys, vol.15, pp.608-629, 1964.

A. S. Wineman, On axisymmetric deformations of nonlinear viscoelastic membranes, J. Non-Newtonian Fluid Mech, vol.4, issue.23, pp.249-260, 1978.

W. Feng, Viscoelastic behavior of elastomeric membranes, J. Appl. Mech, vol.59, pp.29-34, 1992.

F. Hsu, A. Liu, J. Downs, D. Rigamonti, H. et al., A triplane video-based experimental system for studying axisymmetrically inflated biomembranes, 1995.

. Eng, , vol.42, pp.442-450

P. Luo, Y. Chao, M. Sutton, and W. Peters, Accurate measurement of threedimensional deformations in deformable and rigid bodies using computer vision, Exp. Mech, vol.33, pp.123-132, 1993.

T. Becker, K. Splitthof, T. Siebert, and P. Kletting, Error estimations of 3D digital image correlation measurements, Proc. of SPIE, vol.6341, p.63410, 2006.

M. A. Sutton, Digital image correlation for shape and deformation measurements, pp.565-600, 2008.

M. A. Sutton, J. Orteu, and H. W. Schreier, Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01729219

J. J. Orteu, 3-D computer vision in experimental mechanics, Opt. Laser Eng, vol.47, issue.3-4, pp.282-291, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01644891

H. Schreier and M. Sutton, Systematic errors in digital image correlation due to undermatched subset shape functions, Exp. Mech, vol.42, pp.303-310, 2002.

M. P. Carmo, Differential geometry of curves and surfaces, 1976.

P. Ciarlet, An Introduction to Differential Geometry with Applications to Elasticity, 2005.

V. A. Toponogov, Differential Geometry of Curves and Surfaces: A Concise Guide, 2006.

A. Green and J. Adkins, Large Elastic Deformation, 1970.

J. D. Humphrey, Computer methods in membrane biomechanics, Comput. Methods Biomech. Biomed. Eng, vol.1, pp.171-210, 1998.

M. Mooney, A theory of large elastic deformation, J. Appl. Phys, vol.11, pp.582-592, 1940.

S. K. Kyriacou, A. D. Shah, H. , and J. D. , Inverse finite element characterization of nonlinear hyperelastic membranes, J. Appl. Mech, vol.65, pp.257-262, 1997.

D. Garcia, Robust smoothing of gridded data in one and higher dimensions with missing values, Comput. Statist. Data Anal, vol.54, issue.4, pp.1167-1178, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01826117

J. Orteu, F. Bugarin, J. Harvent, L. Robert, and V. Velay, Multiple-camera instrumentation of a single point incremental forming process pilot for shape and 3D displacement measurements: Methodology and results, Exp. Mech, vol.51, pp.1-15, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01170378

G. Machado, G. Chagnon, and D. Favier, Analysis of the isotropic models of the mullins effect based on filled silicone rubber experimental results, Mech. Mater, vol.42, issue.9, pp.841-851, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01974135

L. Mullins, Softening of rubber by deformation, Rubber Chem. Technol, vol.42, pp.339-362, 1969.

L. R. Treloar, The elasticity of a network of long chain molecules (I and II), Trans. Faraday Soc, vol.39, pp.241-246, 1943.

T. Guélon, E. Toussaint, J. Le-cam, N. Promma, G. et al., A new characterisation method for rubber, Polym. Test, vol.28, issue.7, pp.715-723, 2009.