In this Note, we propose a new hyperelastic model for rubber elastic solids applicable over the entire range of deformations. The underlying stored-energy function is a linear combination of the
Accepté le :
Publié le :
Oscar Lopez-Pamies 1
@article{CRMECA_2010__338_1_3_0, author = {Oscar Lopez-Pamies}, title = {A new $ {I}_{1}$-based hyperelastic model for rubber elastic materials}, journal = {Comptes Rendus. M\'ecanique}, pages = {3--11}, publisher = {Elsevier}, volume = {338}, number = {1}, year = {2010}, doi = {10.1016/j.crme.2009.12.007}, language = {en}, }
Oscar Lopez-Pamies. A new $ {I}_{1}$-based hyperelastic model for rubber elastic materials. Comptes Rendus. Mécanique, Volume 338 (2010) no. 1, pp. 3-11. doi : 10.1016/j.crme.2009.12.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.12.007/
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- Understanding the need of the compression branch to characterize hyperelastic materials, International Journal of Non-Linear Mechanics, Volume 89 (2017), p. 14 | DOI:10.1016/j.ijnonlinmec.2016.11.005
- Spherical void expansion in rubber-like materials: The stabilizing effects of viscosity and inertia, International Journal of Non-Linear Mechanics, Volume 92 (2017), p. 118 | DOI:10.1016/j.ijnonlinmec.2017.04.005
- Some remarks on the effects of inertia and viscous dissipation in the onset of cavitation in rubber, Journal of Elasticity, Volume 126 (2017) no. 2, pp. 201-213 | DOI:10.1007/s10659-016-9589-y | Zbl:1355.74017
- Mechanical response of human female breast skin under uniaxial stretching, Journal of the Mechanical Behavior of Biomedical Materials, Volume 74 (2017), p. 164 | DOI:10.1016/j.jmbbm.2017.05.027
- A general result for the magnetoelastic response of isotropic suspensions of iron and ferrofluid particles in rubber, with applications to spherical and cylindrical specimens, Journal of the Mechanics and Physics of Solids, Volume 107 (2017), p. 343 | DOI:10.1016/j.jmps.2017.06.017
- Nonlinear electroelastic deformations of dielectric elastomer composites: II — Non-Gaussian elastic dielectrics, Journal of the Mechanics and Physics of Solids, Volume 99 (2017), p. 438 | DOI:10.1016/j.jmps.2016.07.005
- Beyond polyconvexity: an existence result for a class of quasiconvex hyperelastic materials, Mathematical Methods in the Applied Sciences, Volume 40 (2017) no. 6, pp. 2084-2089 | DOI:10.1002/mma.4123 | Zbl:1360.74029
- Modeling deformation and failure of elastomers at high strain rates, Mechanics of Materials, Volume 104 (2017), p. 85 | DOI:10.1016/j.mechmat.2016.10.004
- Methodical fitting for mathematical models of rubber-like materials, Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences, Volume 473 (2017) no. 2198, p. 22 (Id/No 20160811) | DOI:10.1098/rspa.2016.0811 | Zbl:1404.74016
- How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity, Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences, Volume 473 (2017) no. 2207, p. 33 (Id/No 20170607) | DOI:10.1098/rspa.2017.0607 | Zbl:1404.74018
- A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme, Computer Methods in Applied Mechanics and Engineering, Volume 306 (2016), pp. 216-251 | DOI:10.1016/j.cma.2015.12.025 | Zbl:1436.74065
- Analytical network-averaging of the tube model:, Journal of the Mechanics and Physics of Solids, Volume 95 (2016), p. 254 | DOI:10.1016/j.jmps.2016.05.030
- A model for rubberlike elasticity up to failure, Acta Mechanica, Volume 226 (2015) no. 5, pp. 1445-1456 | DOI:10.1007/s00707-014-1262-6 | Zbl:1329.74044
- Multi-axial strain-stiffening elastic potentials with energy bounds: explicit approach based on uniaxial data, Applied Mathematics and Mechanics, Volume 36 (2015) no. 7, p. 883 | DOI:10.1007/s10483-015-1955-9
- Response to “Comment on ‘Disentangling longitudinal and shear elastic waves by neo-Hookean soft devices’” [Appl. Phys. Lett. 107, 056101 (2015)], Applied Physics Letters, Volume 107 (2015) no. 5 | DOI:10.1063/1.4928393
- Comment on “Disentangling longitudinal and shear elastic waves by neo-Hookean soft devices” [Appl. Phys. Lett. 106, 161903 (2015)], Applied Physics Letters, Volume 107 (2015) no. 5 | DOI:10.1063/1.4928392
- Computational homogenization of the debonding of particle reinforced composites: The role of interphases in interfaces, Computational Materials Science, Volume 109 (2015), p. 209 | DOI:10.1016/j.commatsci.2015.07.012
- Bayesian model selection of hyperelastic models for simple and pure shear at large deformations, Computers Structures, Volume 156 (2015), p. 101 | DOI:10.1016/j.compstruc.2015.04.008
- Polygonal finite elements for finite elasticity, International Journal for Numerical Methods in Engineering, Volume 101 (2015) no. 4, pp. 305-328 | DOI:10.1002/nme.4802 | Zbl:1352.74044
- Advances in Mechanics of Soft Materials: A Review of Large Deformation Behavior of Hydrogels, International Journal of Applied Mechanics, Volume 07 (2015) no. 05, p. 1530001 | DOI:10.1142/s1758825115300011
- The remarkable Gent constitutive model for hyperelastic materials, International Journal of Non-Linear Mechanics, Volume 68 (2015), p. 9 | DOI:10.1016/j.ijnonlinmec.2014.05.010
- Hyperelasticity, dynamic mechanical property, and rheology of addition‐type silicone rubber (VPDMS cured by PMHS), Journal of Applied Polymer Science, Volume 132 (2015) no. 23 | DOI:10.1002/app.42036
- Characterisation and modelling of brain tissue for surgical simulation, Journal of the Mechanical Behavior of Biomedical Materials, Volume 45 (2015), p. 1 | DOI:10.1016/j.jmbbm.2015.01.016
- Filled elastomers: A theory of filler reinforcement based on hydrodynamic and interphasial effects, Journal of the Mechanics and Physics of Solids, Volume 80 (2015), p. 37 | DOI:10.1016/j.jmps.2015.04.012
- Prestrain-dependent viscosity of a highly filled elastomer: experiments and modeling, Mechanics of Time-Dependent Materials, Volume 19 (2015) no. 3, p. 243 | DOI:10.1007/s11043-015-9262-z
- Bounded elastic potentials for rubberlike materials with strain-stiffening effects, ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik, Volume 95 (2015) no. 11, pp. 1230-1242 | DOI:10.1002/zamm.201400109 | Zbl:1333.74022
- An approach for hyperelastic model-building and parameters estimation a review of constitutive models, European Polymer Journal, Volume 50 (2014), p. 97 | DOI:10.1016/j.eurpolymj.2013.10.006
- Constitutive modeling of isotropic hyperelastic materials in an exponential framework using a self-contained approach, International Journal of Solids and Structures, Volume 51 (2014) no. 25-26, p. 4316 | DOI:10.1016/j.ijsolstr.2014.08.018
- High strain rate response of rubber membranes, Journal of the Mechanics and Physics of Solids, Volume 64 (2014), p. 377 | DOI:10.1016/j.jmps.2013.12.001
- Compressive‐shear adhesion characterization of polyvinyl‐butyral and ethylene‐vinyl acetate at different curing times before and after exposure to damp‐heat conditions, Progress in Photovoltaics: Research and Applications, Volume 22 (2014) no. 4, p. 405 | DOI:10.1002/pip.2270
- Axisymmetric bifurcations of thick spherical shells under inflation and compression, International Journal of Solids and Structures, Volume 50 (2013) no. 2, p. 403 | DOI:10.1016/j.ijsolstr.2012.10.004
- Numerical Modeling of the Nonlinear Elastic Response of Filled Elastomers via Composite-Sphere Assemblages, Journal of Applied Mechanics, Volume 80 (2013) no. 5 | DOI:10.1115/1.4023497
- The nonlinear elastic response of suspensions of rigid inclusions in rubber: II—A simple explicit approximation for finite-concentration suspensions, Journal of the Mechanics and Physics of Solids, Volume 61 (2013) no. 1, p. 19 | DOI:10.1016/j.jmps.2012.08.013
- Riemann-Cartan geometry of nonlinear dislocation mechanics, Archive for Rational Mechanics and Analysis, Volume 205 (2012) no. 1, pp. 59-118 | DOI:10.1007/s00205-012-0500-0 | Zbl:1281.74006
- Mullins effect on incompressible hyperelastic cylindrical tube in finite torsion, International Journal of Mechanics and Materials in Design, Volume 8 (2012) no. 4, p. 393 | DOI:10.1007/s10999-012-9203-9
- A finite element approach to study cavitation instabilities in non-linear elastic solids under general loading conditions, International Journal of Non-Linear Mechanics, Volume 47 (2012) no. 2, p. 331 | DOI:10.1016/j.ijnonlinmec.2011.07.007
- Effects of internal pore pressure on closed-cell elastomeric foams, International Journal of Solids and Structures, Volume 49 (2012) no. 19-20, p. 2793 | DOI:10.1016/j.ijsolstr.2012.02.024
- On the extremal properties of Hashin's hollow cylinder assemblage in nonlinear elasticity, Journal of Elasticity, Volume 107 (2012) no. 1, pp. 1-10 | DOI:10.1007/s10659-011-9331-8 | Zbl:1331.74058
- Multi-scale homogenization-based modeling of semi-crystalline polymers, Philosophical Magazine, Volume 92 (2012) no. 8, p. 925 | DOI:10.1080/14786435.2011.637982
- Hyperelastic Constitutive Modeling of Hexagonal Honeycombs Subjected to In-Plane Shear Loading, Journal of Engineering Materials and Technology, Volume 133 (2011) no. 1 | DOI:10.1115/1.4002640
- Cavitation in elastomeric solids. II: Onset-of-cavitation surfaces for neo-Hookean materials, Journal of the Mechanics and Physics of Solids, Volume 59 (2011) no. 8, pp. 1488-1505 | DOI:10.1016/j.jmps.2011.04.016 | Zbl:1270.74026
- Mechanical characterization of hyperelastic polydimethylsiloxane by simple shear test, Materials Science and Engineering: A, Volume 528 (2011) no. 3, p. 1799 | DOI:10.1016/j.msea.2010.11.025
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