On elastic interactions between spherical inclusions by the equivalent inclusion method, Computational Materials Science, vol.37, issue.3, pp.380-392, 2006. ,
DOI : 10.1016/j.commatsci.2005.10.002
A new approach to the application of Mori-Tanaka's theory in composite materials, Mechanics of Materials, vol.6, issue.2, pp.147-157, 1987. ,
DOI : 10.1016/0167-6636(87)90005-6
The problem of two plastic and heterogeneous inclusions in an anisotropic medium, International Journal of Engineering Science, vol.25, issue.6, pp.691-709, 1987. ,
DOI : 10.1016/0020-7225(87)90058-9
Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites, Computer Methods in Applied Mechanics and Engineering, vol.217, issue.220, pp.217-220, 2012. ,
DOI : 10.1016/j.cma.2012.01.003
URL : https://hal.archives-ouvertes.fr/hal-00722361
Self-influence and influence pseudotensors of d-dimensional spheres, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00876028
New boundary conditions for the computation of the apparent stiffness of statistical volume elements, Journal of the Mechanics and Physics of Solids, vol.61, issue.12, pp.2638-2658, 2013. ,
DOI : 10.1016/j.jmps.2013.08.009
URL : https://hal.archives-ouvertes.fr/hal-00871767
Solutions for effective shear properties in three phase sphere and cylinder models, Journal of the Mechanics and Physics of Solids, vol.27, issue.4, pp.315-330, 1979. ,
DOI : 10.1016/0022-5096(79)90032-2
Novel boundary conditions for strain localization analyses in microstructural volume elements, International Journal for Numerical Methods in Engineering, vol.191, issue.21, pp.1-21, 2012. ,
DOI : 10.1002/nme.3298
Thermoelastic properties of composites containing ellipsoidal inhomogeneities, Journal of Thermal Stresses, vol.23, pp.233-255, 2000. ,
Theory and Practice of Finite Elements, of Applied Mathematical Sciences, 2004. ,
DOI : 10.1007/978-1-4757-4355-5
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.241, issue.1226, pp.376-396, 1957. ,
DOI : 10.1098/rspa.1957.0133
Effects of mechanical interactions on the hydrostatic stress in randomly distributed rubber particles in an amorphous polymer matrix, Polymer, vol.43, issue.3, pp.909-919, 2002. ,
DOI : 10.1016/S0032-3861(01)00621-8
Mechanical interaction between spherical inhomogeneities: an assessment of a method based on the equivalent inclusion, European Journal of Mechanics - A/Solids, vol.20, issue.1, pp.59-75, 2001. ,
DOI : 10.1016/S0997-7538(00)01118-9
Representative volume element size for elastic composites: A numerical study, Journal of the Mechanics and Physics of Solids, vol.45, issue.9, pp.1449-1459, 1997. ,
DOI : 10.1016/S0022-5096(97)00016-1
On some variational principles in anisotropic and nonhomogeneous elasticity, Journal of the Mechanics and Physics of Solids, vol.10, issue.4, pp.335-342, 1962. ,
DOI : 10.1016/0022-5096(62)90004-2
A variational approach to the theory of the elastic behaviour of polycrystals, Journal of the Mechanics and Physics of Solids, vol.10, issue.4, pp.343-352, 1962. ,
DOI : 10.1016/0022-5096(62)90005-4
Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume, Journal of the Mechanics and Physics of Solids, vol.42, issue.12, 1994. ,
DOI : 10.1016/0022-5096(94)90022-1
inclusion-based micromechanical modelling, International Journal of Engineering Science, vol.31, issue.1, pp.1-10, 1993. ,
DOI : 10.1016/0020-7225(93)90059-4
Elastic properties of reinforced solids: Some theoretical principles, Journal of the Mechanics and Physics of Solids, vol.11, issue.5, pp.357-372, 1963. ,
DOI : 10.1016/0022-5096(63)90036-X
New derivations of some elastic extremum principles, in: Progress in Applied Mechanics ? The Prager 60th Anniversary Volume, pp.99-106, 1963. ,
The essential structure of constitutive laws for metal composites and polycrystals, Journal of the Mechanics and Physics of Solids, vol.15, issue.2, pp.79-95, 1967. ,
DOI : 10.1016/0022-5096(67)90018-X
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.3647-3679, 2003. ,
DOI : 10.1016/S0020-7683(03)00143-4
Theory of elastic constants of heterogeneous media, Journal of Mathematical Physics, vol.14, issue.4, pp.509-513, 1973. ,
DOI : 10.1063/1.1666346
On the Physics and Mathematics of Self-Stresses, Topics in Applied Continuum Mechanics, pp.22-38, 1974. ,
DOI : 10.1007/978-3-7091-4188-5_2
Bounds for effective elastic moduli of disordered materials, Journal of the Mechanics and Physics of Solids, vol.25, issue.2, pp.137-155, 1977. ,
DOI : 10.1016/0022-5096(77)90009-6
Plasticité classique et viscoplasticité. Number 97 in CISM courses and lectures, 1972. ,
The problem of elastic inclusions at finite concentration, International Journal of Solids and Structures, vol.33, issue.20-22, pp.3131-3150, 1996. ,
DOI : 10.1016/0020-7683(95)00275-8
Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, pp.571-574, 1973. ,
DOI : 10.1016/0001-6160(73)90064-3
Two-Ellipsoidal Inhomogeneities by the Equivalent Inclusion Method, Journal of Applied Mechanics, vol.42, issue.4, pp.847-852, 1975. ,
DOI : 10.1115/1.3423718
A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.69-94, 1998. ,
DOI : 10.1016/S0045-7825(97)00218-1
URL : https://hal.archives-ouvertes.fr/hal-01282728
Micromechanics of defects in solids, 1987. ,
Numerical equivalent inclusion method: a new computational method for analyzing stress fields in and around inclusions of various shapes, Materials Science and Engineering: A, vol.285, issue.1-2, pp.229-238, 2000. ,
DOI : 10.1016/S0921-5093(00)00637-7
A micromechanics-enhanced finite element formulation for modelling heterogeneous materials, Computer Methods in Applied Mechanics and Engineering, vol.201, issue.204, pp.201-204, 2012. ,
DOI : 10.1016/j.cma.2011.09.003
Material spatial randomness: From statistical to representative volume element, Probabilistic Engineering Mechanics, vol.21, issue.2, pp.112-132, 2006. ,
DOI : 10.1016/j.probengmech.2005.07.007
The overall elastic response of materials containing spherical inhomogeneities, International Journal of Solids and Structures, vol.30, issue.14, pp.1849-1863, 1993. ,
DOI : 10.1016/0020-7683(93)90221-R
On the problem of linear elasticity for an infinite region containing a finite number of non-intersecting spherical inhomogeneities, International Journal of Solids and Structures, vol.27, issue.2, pp.145-159, 1991. ,
DOI : 10.1016/0020-7683(91)90225-5
On the homogenization and the simulation of random materials, European Journal of Mechanics -A/Solids, vol.11, pp.585-607, 1992. ,
Apparent and effective mechanical properties of linear matrix-inclusion random composites: Improved bounds for the effective behavior, International Journal of Solids and Structures, vol.49, issue.10, pp.1195-1211, 2012. ,
DOI : 10.1016/j.ijsolstr.2012.01.018
URL : https://hal.archives-ouvertes.fr/hal-01157362
Interacting cracks and ellipsoidal inhomogeneities by the equivalent inclusion method, Journal of the Mechanics and Physics of Solids, vol.51, issue.5, pp.945-960, 2003. ,
DOI : 10.1016/S0022-5096(02)00106-0
The p-version of the finite element method, Encyclopedia of Computational Mechanics, pp.119-139, 2004. ,
Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Applied Mechanics Reviews, vol.55, issue.4, 2002. ,
DOI : 10.1115/1.1483342
On the overall elastic moduli of composite materials, Journal of the Mechanics and Physics of Solids, vol.17, issue.4, pp.235-251, 1969. ,
DOI : 10.1016/0022-5096(69)90014-3
Bounds and self-consistent estimates for the overall properties of anisotropic composites, Journal of the Mechanics and Physics of Solids, vol.25, issue.3, pp.185-202, 1977. ,
DOI : 10.1016/0022-5096(77)90022-9
Elastic Constants of Polycrystals, Physica Status Solidi (b), vol.241, issue.2, pp.831-842, 1973. ,
DOI : 10.1002/pssb.2220550241