Elastic and thermoelastic properties of rubberlike materials -A statistical theoryTheory of the elastic properties of rubberStatistical mechanics of cross-linked polymer networks I Rubberlike elasticityStatistical mechanics of cross-linked polymer networks II SwellingA 3-dimensional constitutive model for the large stretch behavior of rubber elastic-materialsOn improved network models for rubber elasticity and their applications to orientation hardening in glassy-polymers, Journal of the Mechanics and Physics of Solids, pp.624-455, 1941. ,
A Non-Gaussian Theory for Rubber in Biaxial Strain. I. Mechanical Properties, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.369, issue.1737, pp.261-280, 1979. ,
DOI : 10.1098/rspa.1979.0163
The effect of entanglements in rubber elasticity, Polymer, vol.27, issue.4, pp.483-492, 1986. ,
DOI : 10.1016/0032-3861(86)90231-4
The elasticity of a network of long-chain molecules. I, Transactions of the Faraday Society, vol.39, pp.36-0041, 1943. ,
DOI : 10.1039/tf9433900036
The elasticity of a network of long-chain molecules???II, Trans. Faraday Soc., vol.39, issue.0, pp.241-0246, 1943. ,
DOI : 10.1039/TF9433900241
Constitutive Equations for Isotropic Rubber-Like Materials Using Phenomenological Approach: A Bibliography (1930???2003), Rubber Chemistry and Technology, vol.79, issue.3, pp.489-499, 1930. ,
DOI : 10.5254/1.3547947
A Theory of Large Elastic Deformation, Journal of Applied Physics, vol.11, issue.9, pp.582-592, 1940. ,
DOI : 10.1063/1.1712836
Large Elastic Deformations of Isotropic Materials. IV. Further Developments of the General Theory, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.241, issue.835, pp.379-397, 1948. ,
DOI : 10.1098/rsta.1948.0024
Large Deformation Isotropic Elasticity - On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.326, issue.1567, p.565, 1972. ,
DOI : 10.1098/rspa.1972.0026
A new viscoelastic constitutive model for continuous media at finite thermomechanical changes, International Journal of Solids and Structures, vol.33, issue.20-22, pp.3019-3034, 1996. ,
DOI : 10.1016/0020-7683(95)00263-4
Observation and modeling of the anisotropic visco-hyperelastic behavior of a rubberlike material, International Journal of Solids and Structures, vol.43, issue.10, pp.3044-3056, 2006. ,
DOI : 10.1016/j.ijsolstr.2005.06.045
URL : https://hal.archives-ouvertes.fr/hal-00124139
Effect of Stretching on the Properties of Rubber, Rubber Chemistry and Technology, vol.21, issue.2, pp.275-289, 1948. ,
DOI : 10.5254/1.3546914
Softening of Rubber by Deformation, Rubber Chemistry and Technology, vol.42, issue.1, pp.339-362, 1969. ,
DOI : 10.5254/1.3539210
Stress softening in natural rubber vulcanizates. Part II. Stress softening effects in pure gum and filler loaded rubbers, Journal of Applied Polymer Science, vol.9, issue.9, p.3011, 1965. ,
DOI : 10.1002/app.1965.070090907
Cavitation in Rubber: A Cautionary Tale, Rubber Chemistry and Technology, vol.63, issue.3, pp.49-53, 1990. ,
DOI : 10.5254/1.3538266
Experimental and finite element investigation of void nucleation in rubber-like materials, International Journal of Solids and Structures, vol.48, issue.9, pp.1248-1254, 2011. ,
DOI : 10.1016/j.ijsolstr.2011.01.009
URL : https://hal.archives-ouvertes.fr/hal-00572513
Internal Rupture of Bonded Rubber Cylinders in Tension, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.249, issue.1257, p.195, 1959. ,
DOI : 10.1098/rspa.1959.0016
Triaxial Fracture Studies, Journal of Applied Physics, vol.38, issue.12, p.4843, 1967. ,
DOI : 10.1063/1.1709232
An experimental investigation of fracture by cavitation of model elastomeric networks, Journal of Polymer Science Part B: Polymer Physics, vol.280, issue.13, pp.1409-1422, 2010. ,
DOI : 10.1002/polb.22026
Fracture of model polyurethane elastomeric networks, Journal of Polymer Science Part B: Polymer Physics, vol.101, issue.5, pp.355-367, 2011. ,
DOI : 10.1002/polb.22186
Fracture by cavitation of model polyurethane elastomers, 2009. ,
URL : https://hal.archives-ouvertes.fr/pastel-00578499
Discontinuous Equilibrium Solutions and Cavitation in Nonlinear Elasticity, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.306, issue.1496, pp.557-611, 1982. ,
DOI : 10.1098/rsta.1982.0095
Surface energy effects for cavity growth and nucleation in an incompressible neo-Hookean material??????modeling and experiment, International Journal of Solids and Structures, vol.41, issue.22-23, pp.6111-6127, 2004. ,
DOI : 10.1016/j.ijsolstr.2004.04.041
Machine compliance and hardening effects on cavity growth in soft adhesives, International Journal of Adhesion and Adhesives, vol.26, issue.3, pp.117-124, 2006. ,
DOI : 10.1016/j.ijadhadh.2005.03.001
Nucleation and Growth of Gas Bubbles in Elastomers, Journal of Applied Physics, vol.40, issue.6, pp.2520-2525, 1969. ,
DOI : 10.1063/1.1658026
Nonmonotonic cavity growth in finite, compressible elasticity, International Journal of Solids and Structures, vol.34, issue.29, pp.3859-3872, 1997. ,
DOI : 10.1016/S0020-7683(96)00237-5
Exact solution for cavitated bifurcation for compressible hyperelastic materials, International Journal of Engineering Science, vol.39, pp.1101-1117, 2001. ,
Studies of the Growth and Collapse of Voids in Viscous Solids, Journal of Engineering Materials and Technology, vol.116, issue.3, pp.348-358, 1994. ,
DOI : 10.1115/1.2904298
Irreversible growth of a spherical cavity in rubber-like material: A fracture mechanics description, International Journal of Fracture, vol.112, issue.2, pp.151-161, 2001. ,
DOI : 10.1023/A:1013311526076
Onset of Cavitation in Compressible, Isotropic, Hyperelastic Solids, Journal of Elasticity, vol.XLIX, issue.2, pp.115-145, 2009. ,
DOI : 10.1007/s10659-008-9187-8
Time resolved simultaneous small- and wide-angle X-ray scattering during polyethylene deformation???II. Cold drawing of linear polyethylene, Polymer, vol.39, issue.1, pp.39-52, 1998. ,
DOI : 10.1016/S0032-3861(97)00226-7
Cavitation in elastic and elastic plastic solids, Journal of the Mechanics and Physics of Solids, vol.40, pp.571-592, 1992. ,
Molecular dynamics simulation of the first stages of the cavitation process in amorphous polymers, Molecular Simulation, vol.735, issue.12, pp.965-973, 2007. ,
DOI : 10.1063/1.1699711
Dynamics of entangled linear polymer melts:??? A molecular???dynamics simulation, The Journal of Chemical Physics, vol.92, issue.8, pp.5057-5086, 1990. ,
DOI : 10.1063/1.458541
Molecular modeling of cavitation in polymer melts and rubbers, 15th International conference on Deformation, Yield and Fracture of Polymers, 2012. ,
Spherical flaw instability in hydrostatic tension, International Journal of Fracture Mechanics, vol.249, issue.1, pp.64-71, 1965. ,
DOI : 10.1007/BF00184154
The Phenomena of Rupture and Flow in Solids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.221, issue.582-593, p.63, 1921. ,
DOI : 10.1098/rsta.1921.0006
Toughening behaviour of rubber-modified thermoplastic polymers involving very small rubber particles: 1. A criterion for internal rubber cavitation, Polymer, vol.35, issue.22, pp.4743-4749, 1994. ,
DOI : 10.1016/0032-3861(94)90727-7
Polymers toughened with rubber microspheres: an analytical solution for stresses and strains in the rubber particles at equilibrium and rupture, International Journal of Fracture, vol.249, issue.2, pp.141-159, 1996. ,
DOI : 10.1007/BF00037234
Fracture mechanics and cavitation in rubber-like solids, Journal of Materials Science, vol.58, issue.12, pp.3392-3395, 1991. ,
DOI : 10.1007/BF01124691
A constitutive model for cavitation and cavity growth in rubber-like materials under arbitrary tri-axial loading, International Journal of Solids and Structures, vol.44, issue.18-19, pp.6080-6100, 2007. ,
DOI : 10.1016/j.ijsolstr.2007.02.016
Softening hyperelasticity for modeling material failure: Analysis of cavitation in hydrostatic tension, International Journal of Solids and Structures, vol.44, issue.14-15, pp.5043-5055, 2007. ,
DOI : 10.1016/j.ijsolstr.2006.12.022
Multiscale Modeling of Material Failure: From Atomic Bonds to Elasticity with Energy Limiters, International Journal for Multiscale Computational Engineering, vol.6, issue.5, pp.393-410, 2008. ,
DOI : 10.1615/IntJMultCompEng.v6.i5.20
On modeling failure of rubber-like materials, Mechanics Research Communications, vol.37, issue.8, pp.684-689, 2010. ,
DOI : 10.1016/j.mechrescom.2010.10.006
CAVITATION INSTABILITY IN RUBBER, International Journal of Applied Mechanics, vol.03, issue.02, pp.299-311, 2011. ,
DOI : 10.1142/S1758825111001007
Structure???mechanical property correlations of model siloxane elastomers with controlled network topology, Polymer, vol.50, issue.2, pp.347-356, 2009. ,
DOI : 10.1016/j.polymer.2008.10.027
Diffusion in Elastomers, Rubber Chemistry and Technology, vol.37, issue.5, pp.1065-1152, 1964. ,
DOI : 10.5254/1.3540396
Ueber Diffusion, Poggendorff's Annalen der Physik und Chemie, pp.59-86, 1855. ,
DOI : 10.1002/andp.18551700105
Théorie analytique de la chaleur, Didot père et fils, p.1822 ,
DOI : 10.1017/CBO9780511693229
Experiments on the Quantity of Gases Absorbed by Water, at Different Temperatures, and under Different Pressures, Philosophical Transactions of the Royal Society of London, vol.93, issue.0, pp.29-276, 1803. ,
DOI : 10.1098/rstl.1803.0004
Influence of fillers on hydrogen penetration properties and blister fracture of rubber composites for O-ring exposed to high-pressure hydrogen gas, International Journal of Hydrogen Energy, vol.34, issue.4, pp.1977-1989, 2009. ,
DOI : 10.1016/j.ijhydene.2008.11.105
Heterogeneous membranes: Diffusion in filled rubber, Journal of Polymer Science Part A: General Papers, vol.1, issue.8, p.2565, 1963. ,
DOI : 10.1002/pol.1963.100010806
Sorption and partial molar volumes of inert gases in rubbery polymers, Journal of Membrane Science, vol.93, issue.1, pp.45-52, 1994. ,
DOI : 10.1016/0376-7388(94)85014-3
Properties of polymers, their estimation and correlation with chemical structure, 1976. ,
A coupled theory of fluid permeation and large deformations for elastomeric materials, Journal of the Mechanics and Physics of Solids, vol.58, issue.11, pp.1879-1906, 2010. ,
DOI : 10.1016/j.jmps.2010.07.020
Mechanical Testing of Polymers in Pressurized Hydrogen: Tension, Creep and Ductile Fracture, Experimental Mechanics, vol.76, issue.18, pp.229-239, 2012. ,
DOI : 10.1007/s11340-011-9484-1
The mechanical properties of elastomers in high-pressure CO2, Journal of Materials Science, vol.34, issue.2, pp.417-422, 1999. ,
DOI : 10.1023/A:1004442614090
Crack Growth Behavior of Sealing Rubber under Static Strain in High-Pressure Hydrogen Gas, Journal of Solid Mechanics and Materials Engineering, vol.5, issue.12, pp.690-701, 2011. ,
DOI : 10.1299/jmmp.5.690
???Explosive Decompression Failure??? of Rubbers: A Review of the Origins of Pneumatic Stress Induced Rupture in Elastomers, Rubber Chemistry and Technology, vol.67, issue.3, pp.384-416, 1994. ,
DOI : 10.5254/1.3538683
High-pressure permeation and diffusion of gases in polymers of different structures, Plastics Rubber and Composites Processing and Applications, vol.17, pp.51-58, 1992. ,
Effects of high-pressure CO2 on the glass transition temperature and mechanical properties of polystyrene, Journal of Polymer Science: Polymer Physics Edition, vol.20, issue.8, pp.1371-1384, 1982. ,
DOI : 10.1002/pol.1982.180200804
The effects of CO2 exposure on pure and mixed gas permeation behavior: comparison of glassy polycarbonate and silicone rubber, Journal of Membrane Science, vol.30, issue.2, pp.191-212, 1987. ,
DOI : 10.1016/S0376-7388(00)81351-4
Measurement and correlation of sorption and transport properties of ethylenepropylene-diene monomer (EPDM) elastomers, pp.57-65, 2005. ,
Nucleation and growth of bubbles in elastomers Journal of Polymer Science Part a-2-Polymer Physics, p.937, 1970. ,
Bubble formation in vulcanized rubbers Journal of Polymer Science Part a-2-Polymer Physics, p.1853, 1968. ,
Silica reinforcement of oil field elastomers for improved decompression resistance, 1990. ,
Development of a test and failure analysis methodology for elastomeric seals exposed to rapid gas decompresion in oilfield applications, Engineering Structural Integrity: Research, Development and Application, Vols 1 and 2, pp.754-757, 2007. ,
Internal Crack Symmetry Phenomena during Gas-Induced Rupture of Elastomers, Rubber Chemistry and Technology, vol.65, issue.2, pp.350-373, 1992. ,
DOI : 10.5254/1.3538617
High-pressure gas testing of elastomer seals and a practical approach to designing for explosive decompression service, Sealing Technology, vol.2004, issue.6, pp.6-11, 2004. ,
DOI : 10.1016/S1350-4789(04)00231-4
Fracture of Elastomers by Gas Decompression, Rubber Chemistry and Technology, vol.68, issue.2, pp.197-211, 1995. ,
DOI : 10.5254/1.3538735
Why rubber explodes, Chemtech, vol.20, pp.492-495, 1990. ,
Visualizing O-ring behavior with high-pressure gas decompression, 2012. ,
Occupied Volume of Liquids and Polymers, Journal of Macromolecular Science, Part C: Polymer Reviews, vol.7, issue.2, p.191, 1970. ,
DOI : 10.1002/pol.1962.1205716534
The Influence of Structure on Autohesion (Self-Tack) and other forms of Diffusion into Polymers, The Journal of Adhesion, vol.33, issue.2, pp.1-23, 1975. ,
DOI : 10.1080/00218467508078895
Fracture energy of epoxy resin under plane strain conditions, Journal of Materials Science, vol.13, issue.8, pp.1680-1688, 1978. ,
DOI : 10.1007/BF00548731
Viscoelastic properties of elastomers, 1980. ,
Caractéristiques des élastomères, 1998. ,
Constantes mécaniques -Coefficients d'élasticité, 1991. ,
Diffusion of hydrogen in mild steel, Acta Metallurgica, vol.2, issue.2, pp.214-223, 1954. ,
DOI : 10.1016/0001-6160(54)90162-5
Genetic algorithms in computer aided design, Computer-Aided Design, vol.35, issue.8, pp.709-726, 2003. ,
DOI : 10.1016/S0010-4485(03)00003-4
The mathematics of diffusion, p.p.^pp. Pages, 1956. ,
Sorption and partial molar volume of gases in poly (dimethyl siloxane), Journal of Polymer Science Part B: Polymer Physics, vol.28, issue.8, pp.1297-1308, 1990. ,
DOI : 10.1002/polb.1990.090280808
Membrane purification of Cl2 gas, Journal of Membrane Science, vol.170, issue.2, pp.173-190, 2000. ,
DOI : 10.1016/S0376-7388(99)00371-3
on suppose que la cavité contient une quantité N de gaz constante et qu'il n'y a pas d ,
on suppose que ce gaz se trouve à l'état gazeux et suit la loi des gaz parfait (Equation 4.18) Sa pression est donc inversement proportionnelle à son volume ,