This work provides a means of accounting for the presence of pressurized cavities on the overall response of elastomeric solids undergoing large deformations. The main idea is to refer the kinematics to a stress-free configuration and to express the overall response of the elastomer with pressurized cavities in terms of its overall response when the cavities are vacuous. This is achieved via a change of variables valid whenever the common assumption of incompressibility is used for the elastomeric matrix. The result permits then to incorporate straightforwardly the effect of internal pressure on any micromechanical model already available for elastomeric solids with vacuous cavities. The resulting models account for constitutive and geometric nonlinearities as well as for deformation-dependent internal pressure concomitant with large deformations. Sample results for isotropic porous rubbers under plane-strain conditions are provided and discussed.
@article{CRMECA_2012__340_4-5_359_0,
author = {Mart{\'\i}n I. Idiart and Oscar Lopez-Pamies},
title = {On the overall response of elastomeric solids with pressurized cavities},
journal = {Comptes Rendus. M\'ecanique},
pages = {359--368},
publisher = {Elsevier},
volume = {340},
number = {4-5},
year = {2012},
doi = {10.1016/j.crme.2012.02.018},
language = {en},
}
TY - JOUR AU - Martín I. Idiart AU - Oscar Lopez-Pamies TI - On the overall response of elastomeric solids with pressurized cavities JO - Comptes Rendus. Mécanique PY - 2012 SP - 359 EP - 368 VL - 340 IS - 4-5 PB - Elsevier DO - 10.1016/j.crme.2012.02.018 LA - en ID - CRMECA_2012__340_4-5_359_0 ER -
Martín I. Idiart; Oscar Lopez-Pamies. On the overall response of elastomeric solids with pressurized cavities. Comptes Rendus. Mécanique, Volume 340 (2012) no. 4-5, pp. 359-368. doi : 10.1016/j.crme.2012.02.018. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.02.018/
[1] Constitutive modeling of porous hyperelastic materials, Mech. Mater., Volume 36 (2004), pp. 347-358
[2] Large isotropic elastic deformation of composites and porous media, Int. J. Solids Struct., Volume 21 (1985), pp. 711-720
[3] Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities: I—Analysis, J. Mech. Phys. Solids, Volume 55 (2007), pp. 1677-1701
[4] Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities: II—Results, J. Mech. Phys. Solids, Volume 55 (2007), pp. 1702-1728
[5] An exact result for the macroscopic response of porous Neo-Hookean solids, J. Elast., Volume 95 (2009), pp. 99-105
[6] E. Ho, Elastomeric seals for rapid gas decompression applications in high-pressure services, BHR Group Limited Research Report 485 for the Health and Safety Executive 2006, HSE Books, Sudbury, UK.
[7] Influence of fillers on hydrogen penetration properties and blister fracture of rubber composites for O-ring exposed to high-pressure hydrogen gas, Int. J. Hydrogen Energy, Volume 34 (2009), pp. 1977-1989
[8] Application of acoustic emission method to detection of internal fracture of sealing rubber material by high-pressure hydrogen decompression, Polym. Testing, Volume 30 (2011), pp. 76-85
[9] Micromechanical modelling of intracellular pressure-induced viscoelastic shrinkage of foams: application to expanded polystyrene, Eur. J. Mech. A/Solids, Volume 18 (1999), pp. 201-218
[10] Cavitation and fracture behavior of polyacrylamide hydrogels, Soft Matter, Volume 5 (2009), pp. 3963-3968
[11] A semi-analytical model for the behavior of saturated viscoplastic materials containing two populations of voids of different sizes, Int. J. Solids Struct., Volume 48 (2011), pp. 1485-1498
[12] Porous materials with two populations of voids under internal pressure: I. Instantaneous constitutive relations, Int. J. Solids Struct., Volume 46 (2009), pp. 480-506
[13] Nucleation and growth of gas bubbles in elastomers, J. Appl. Phys., Volume 40 (1969), pp. 2520-2525
[14] On constitutive macro-variables for heterogeneous solids at finite strain, Proc. R. Soc. Lond. A, Volume 326 (1972), pp. 131-147
[15] Homogenization of some almost periodic coercive functionals, Rend. Accad. Naz. Sci. XL, Volume 9 (1985), pp. 313-322
[16] Homogenization of nonconvex integral functionals and cellular elastic materials, Arch. Ration. Mech. Anal., Volume 99 (1987), pp. 189-212
[17] On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations: I—Theory, J. Mech. Phys. Solids, Volume 54 (2006), pp. 807-830
[18] Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory, J. Eng. Math., Volume 68 (2010), pp. 57-83
[19] Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity, Arch. Ration. Mech. Anal., Volume 122 (1993), pp. 231-290
[20] Microscopic and macroscopic instabilities in finitely strained porous elastomers, J. Mech. Phys. Solids, Volume 55 (2007), pp. 900-938
[21] On the definition of elastic moduli, Arch. Ration. Mech. Anal., Volume 44 (1971), pp. 41-53
[22] Cavitation in elastomeric solids: I—A defect-growth theory, J. Mech. Phys. Solids, Volume 59 (2011), pp. 1464-1487
[23] Cavitation in elastomeric solids: II—Onset-of-cavitation surfaces for Neo-Hookean materials, J. Mech. Phys. Solids, Volume 59 (2011), pp. 1488-1505
[24] Surface effects for small holes or particles in elastomers, J. Polym. Sci. Part A, Volume 2 (1969) no. 7, pp. 1483-1488
[25] Snap-through expansion of a gas bubble in an elastomer, J. Adhesion, Volume 87 (2011), pp. 466-481
Cité par Sources :
Commentaires - Politique
Vanessa Bouchart; Mathias Brieu; Djimedo Kondo; ...
C. R. Méca (2008)