Numerical modeling of the thermal expansion of an energetic material, International Journal of Solids and Structures, vol.60, issue.61, pp.60-61125, 2015. ,
DOI : 10.1016/j.ijsolstr.2015.02.025
URL : https://hal.archives-ouvertes.fr/hal-01118112
Optical properties of deposit models for paints: full-fields FFT computations and representative volume element, Journal of Modern Optics, vol.32, issue.7, pp.519-528, 2013. ,
DOI : 10.1017/CBO9780511613357
URL : https://hal.archives-ouvertes.fr/hal-00836118
Constitutive modeling of the large strain time-dependent behavior of elastomers, Journal of the Mechanics and Physics of Solids, vol.46, issue.5, pp.931-954, 1998. ,
DOI : 10.1016/S0022-5096(97)00075-6
FFT-based methods for the mechanics of composites: A general variational framework, Computational Materials Science, vol.49, issue.3, pp.663-671, 2010. ,
DOI : 10.1016/j.commatsci.2010.06.009
URL : https://hal.archives-ouvertes.fr/hal-00722339
Theory of Viscoelasticity, Journal of Applied Mechanics, vol.38, issue.3, 2012. ,
DOI : 10.1115/1.3408900
Simple algebraic approximations for the effective elastic moduli of cubic arrays of spheres, Journal of the Mechanics and Physics of Solids, vol.52, issue.9, pp.2167-2183, 2004. ,
DOI : 10.1016/j.jmps.2004.02.008
3D MORPHOLOGICAL ANALYSIS OF COMPOSITE MATERIALS WITH AGGREGATES OF SPHERICAL INCLUSIONS, Image Analysis & Stereology, vol.22, issue.1, pp.153-161, 2003. ,
DOI : 10.5566/ias.v22.p153-161
A fast numerical scheme for computing the response of composites using grid refinement, The European Physical Journal Applied Physics, vol.6, issue.1, pp.41-47, 1999. ,
DOI : 10.1051/epjap:1999150
3D multiscale vectorial simulations of random models, Proc. ICS13, pp.19-22, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00879688
On the Effective Viscoelastic Moduli of Two-Phase Media. I. Rigorous Bounds on the Complex Bulk Modulus, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.440, issue.1908, pp.440163-188, 1908. ,
DOI : 10.1098/rspa.1993.0010
Complex moduli of viscoelastic composites???I. General theory and application to particulate composites, International Journal of Solids and Structures, vol.6, issue.5, pp.539-552, 1970. ,
DOI : 10.1016/0020-7683(70)90029-6
A multiscale microstructure model of carbon black distribution in rubber, Journal of Microscopy, vol.49, issue.21, pp.243-260, 2011. ,
DOI : 10.1111/j.1365-2818.2010.03428.x
URL : https://hal.archives-ouvertes.fr/hal-00585338
LARGE-SCALE COMPUTATIONS OF EFFECTIVE ELASTIC PROPERTIES OF RUBBER WITH CARBON BLACK FILLERS, International Journal for Multiscale Computational Engineering, vol.9, issue.3, pp.271-303, 2011. ,
DOI : 10.1615/IntJMultCompEng.v9.i3.30
URL : https://hal.archives-ouvertes.fr/hal-00661612
Modèles morphologiques de structures aléatoires et de changement d'´ echelle, Thèse d'´ etat, 1991. ,
Multi Scale Random Models of Complex Microstructures, Materials Science Forum, vol.638, issue.642, pp.81-86, 2010. ,
DOI : 10.4028/www.scientific.net/MSF.638-642.81
URL : https://hal.archives-ouvertes.fr/hal-00834491
Morphology and effective properties of multi-scale random sets: A review, Comptes Rendus M??canique, vol.340, issue.4-5, pp.219-229, 2012. ,
DOI : 10.1016/j.crme.2012.02.004
Morphological modeling of random composites, Proceedings of the CMDS8 58 Conference, 1996. ,
Micro-structural finite element modelling of the stifness of filled elastomers: the effect of filler number,shape and position in the rubber matrix, Proceedings of 5th European Conference on Constitutive Models for Rubber, 2007. ,
Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.403647-3679, 2003. ,
DOI : 10.1016/S0020-7683(03)00143-4
Modelling the effects of various contents of fillers on the relaxation rate of elastomers, Materials & Design, vol.33, pp.75-82, 2012. ,
DOI : 10.1016/j.matdes.2011.06.054
URL : https://hal.archives-ouvertes.fr/hal-00624105
A method for the solution of certain non-linear problems in least squares, Quarterly of Applied Mathematics, vol.2, issue.2, pp.164-168, 1944. ,
DOI : 10.1090/qam/10666
Introduction aux ensembles aléatoires, 1969. ,
Random sets and integral geometry, 1975. ,
Iterative image transformations for an automatic screening of cervical smears., Journal of Histochemistry & Cytochemistry, vol.27, issue.1, pp.128-135, 1979. ,
DOI : 10.1177/27.1.438499
A computational scheme for linear and non???linear composites with arbitrary phase contrast, International Journal for Numerical Methods in Engineering, vol.58, issue.12, pp.139-160, 2001. ,
DOI : 10.1002/nme.275
On the effective viscoelastic moduli of two-phase media. II. Rigorous bounds on the complex shear modulus in three dimensions, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, pp.1849-1880, 1997. ,
DOI : 10.1098/rspa.1997.0100
Random tessellations in ???d, Advances in Applied Probability, vol.2, issue.01, pp.37-73, 1989. ,
DOI : 10.1002/mana.19800970118
Random Johnson-Mehl tessellations Advances in applied probability, pp.814-844, 1992. ,
Multi-scale simulation of random spheres aggregates: Application to nanocomposites, Proceedings of the ECS 9 Conference, pp.341-348, 2005. ,
A fast numerical method for computing the linear and non linear mechanical properties of the composites. Comptes rendus de l'Academie des sciences, Série II, issue.11, pp.3181417-1423, 1994. ,
3D modeling and simulation of micro to macroscopic deformation behavior of filled rubber, Proceedings of 5th European Conference on Constitutive Models for Rubber, 2007. ,
A Simplex Method for Function Minimization, The Computer Journal, vol.7, issue.4, pp.308-313, 1965. ,
DOI : 10.1093/comjnl/7.4.308
Morphological analysis of carbon-polymer composite materials from thick sections, Acta Stereologica (Slovenia), vol.18, issue.3, pp.297-303, 1999. ,
Stochastic and integral geometry, 2008. ,
DOI : 10.1007/978-3-540-78859-1
Image analysis and mathematical morphology, 1982. ,
Stochastic Geometry and Its Applications., Biometrics, vol.45, issue.2, 1995. ,
DOI : 10.2307/2531521
An accelerated FFT algorithm for thermoelastic and non-linear composites, International Journal for Numerical Methods in Engineering, vol.34, issue.1-2, p.761678, 2008. ,
DOI : 10.1002/nme.2375
Fourier-based schemes for computing the mechanical response of composites with accurate local fields, Comptes rendus de l'Académie des Sciences: Mécanique, pp.232-245, 2015. ,
DOI : 10.1016/j.crme.2014.12.005
URL : https://hal.archives-ouvertes.fr/hal-01096757
Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields, International Journal for Numerical Methods in Engineering, vol.94, issue.6, pp.518-533, 2014. ,
DOI : 10.1002/nme.4641
URL : https://hal.archives-ouvertes.fr/hal-00840986
Fast Fourier transform computations and build-up of plastic deformation in 2D, elastic-perfectly plastic, pixelwise-disordered porous media, Continuum Models and Discrete Systems CMDS 11, pp.443-449, 2008. ,
URL : https://hal.archives-ouvertes.fr/cea-00412544
Random cell complexes and generalised sets. The Annals of Probability, pp.1742-1766, 1988. ,