276
P. Franciosi and M. Spagnuolo
Eshelby, J. D. (1957). The determination of the elastic field of an ellipsoidal inclusion and related
problems. Proceedings of the Royal Society London, A, 421, 379–396.
Eshelby, J. D. (1959). The elastic field outside an ellipsoidal inclusion. Proceedings of the Royal
Society London, A, 252, 561–569.
Fassi-Fehri, O., Hihi, A., & Berveiller, M. (1989). Multiple site self consistent scheme. International
Journal of Engineering Sciences, 27(5), 495–502.
Franciosi, P. (2005). On the modified Green operator integral for polygonal, polyhedral and other
non-ellipsoidal inclusions. International Journal of Solids and Structures, 42(11/12), 3509–3531.
Franciosi, P. (2010). The boundary-due terms in the Green operator of inclusion patterns from
distant to contact and to connected situations using Radon transforms: Illustration for spheroid
alignments in isotropic media. International Journal of Solids and Structures, 47(2), 304–319.
Franciosi, P. (2013). Transversally isotropic magneto-electro-elastic composites with co(dis)continuous phases. International Journal of Solids Structure, 50, 1013–1031.
Franciosi, P. (2014). Mean and axial Green and Eshelby tensors for an inclusion with finite cylindrical
shape. Mechanics Research Communications, 59, 26–36.
Franciosi, P. (2018). A decomposition method for obtaining mean Green interaction operators
between inclusions in patterns. Application to beam arrays in media with 2D or 3D isotropic
properties. International Journal of Solids and Structures, 147, 1–19.
Franciosi, P. (2020a). Multiple continuity of phases in composite materials: Overall property estimates from a laminate system scheme. International Journal of Solids and Structures, 184,
40–62.
Franciosi, P. (2020b). Uniformity of the Green operator and Eshelby tensor for hyperboloidal
domains in infinite media. Mathematics and Mechanics of Solids, 25(8), 1610–1642.
Franciosi, P., Barboura, S., & Charles, Y. (2015). Analytical mean Green operators/Eshelby tensors
for patterns of coaxial finite long or flat cylinders in isotropic matrices. International Journal of
Solids and Structures, 66(1), 1–19.
Franciosi, P., & Berbenni, S. (2007). Heterogeneous crystal and poly-crystal plasticity modeling
from a transformation field analysis within a regularized Schmid law. Journal of the Mechanics
and Physics of Solids, 55, 2265–2299.
Franciosi, P., & Berbenni, S. (2008). Multi-Laminate plastic strain organization for non-uniform
TFA modelling of poly-crystal regularized plastic flow. International Journal of Plasticity, 24(9),
1549–1580.
Franciosi, P., & Charles, Y. (2016a). Effective properties of n-phase composites with from all to
none continuous phases. International Journal of Solids and Structures, 96, 110–125.
Franciosi, P., & Charles, Y. (2016b). Mean Green operators and Eshelby tensors for hemisphericalinclusions and hemisphere interactions in spheres. Application to bi-material spherical inclusions
in isotropic spaces. Mechanics Research Communications, 75, 57–66.
Franciosi, P., & El Omri, A. (2011). Effective properties of fiber and platelet systems and related
phase arrangements in n-phase heterogeneous media. Mechanics Research Communications, 38,
38–44.
Franciosi, P., & Gaertner, R. (1998). On phase connectivity descriptions in modeling viscoelasticity
of fiber or sphere reinforced composites. Polymer Composites, 19(1), 81–96.
Franciosi, P., & Lebail, H. (2004). Anisotropy features of phase and particle spatial pair distributions,
in various matrix/inclusions structures. Acta Materialia, 52(10), 3161–3172.
Franciosi, P., & Lormand, G. (2004). Using the Radon transform to solve inclusion problems in
elasticity. International Journal of Solids and Structures, 41(3/4), 585–606.
Franciosi, P., Spagnuolo, M., & Salman, O. U. (2019). Mean Green operators of deformable fiber
networks embedded in a compliant matrix and property estimates. Continuum Mechanics and
Thermodynamics, 31(1), 101–132.
Gao, X.-L., & Ma, H. M. (2009). Green’s function and Eshelby’s tensor based on a simplified strain
gradient elasticity theory. Acta Mechanica, 207, 163–181.
Gel’fand, I. M., Graev, M. I., & Vilenkin, N. Y. (1966). Generalized functions, v5: Integral geometry
and representation theory. New York: Academic Press.
P. Franciosi and M. Spagnuolo
Eshelby, J. D. (1957). The determination of the elastic field of an ellipsoidal inclusion and related
problems. Proceedings of the Royal Society London, A, 421, 379–396.
Eshelby, J. D. (1959). The elastic field outside an ellipsoidal inclusion. Proceedings of the Royal
Society London, A, 252, 561–569.
Fassi-Fehri, O., Hihi, A., & Berveiller, M. (1989). Multiple site self consistent scheme. International
Journal of Engineering Sciences, 27(5), 495–502.
Franciosi, P. (2005). On the modified Green operator integral for polygonal, polyhedral and other
non-ellipsoidal inclusions. International Journal of Solids and Structures, 42(11/12), 3509–3531.
Franciosi, P. (2010). The boundary-due terms in the Green operator of inclusion patterns from
distant to contact and to connected situations using Radon transforms: Illustration for spheroid
alignments in isotropic media. International Journal of Solids and Structures, 47(2), 304–319.
Franciosi, P. (2013). Transversally isotropic magneto-electro-elastic composites with co(dis)continuous phases. International Journal of Solids Structure, 50, 1013–1031.
Franciosi, P. (2014). Mean and axial Green and Eshelby tensors for an inclusion with finite cylindrical
shape. Mechanics Research Communications, 59, 26–36.
Franciosi, P. (2018). A decomposition method for obtaining mean Green interaction operators
between inclusions in patterns. Application to beam arrays in media with 2D or 3D isotropic
properties. International Journal of Solids and Structures, 147, 1–19.
Franciosi, P. (2020a). Multiple continuity of phases in composite materials: Overall property estimates from a laminate system scheme. International Journal of Solids and Structures, 184,
40–62.
Franciosi, P. (2020b). Uniformity of the Green operator and Eshelby tensor for hyperboloidal
domains in infinite media. Mathematics and Mechanics of Solids, 25(8), 1610–1642.
Franciosi, P., Barboura, S., & Charles, Y. (2015). Analytical mean Green operators/Eshelby tensors
for patterns of coaxial finite long or flat cylinders in isotropic matrices. International Journal of
Solids and Structures, 66(1), 1–19.
Franciosi, P., & Berbenni, S. (2007). Heterogeneous crystal and poly-crystal plasticity modeling
from a transformation field analysis within a regularized Schmid law. Journal of the Mechanics
and Physics of Solids, 55, 2265–2299.
Franciosi, P., & Berbenni, S. (2008). Multi-Laminate plastic strain organization for non-uniform
TFA modelling of poly-crystal regularized plastic flow. International Journal of Plasticity, 24(9),
1549–1580.
Franciosi, P., & Charles, Y. (2016a). Effective properties of n-phase composites with from all to
none continuous phases. International Journal of Solids and Structures, 96, 110–125.
Franciosi, P., & Charles, Y. (2016b). Mean Green operators and Eshelby tensors for hemisphericalinclusions and hemisphere interactions in spheres. Application to bi-material spherical inclusions
in isotropic spaces. Mechanics Research Communications, 75, 57–66.
Franciosi, P., & El Omri, A. (2011). Effective properties of fiber and platelet systems and related
phase arrangements in n-phase heterogeneous media. Mechanics Research Communications, 38,
38–44.
Franciosi, P., & Gaertner, R. (1998). On phase connectivity descriptions in modeling viscoelasticity
of fiber or sphere reinforced composites. Polymer Composites, 19(1), 81–96.
Franciosi, P., & Lebail, H. (2004). Anisotropy features of phase and particle spatial pair distributions,
in various matrix/inclusions structures. Acta Materialia, 52(10), 3161–3172.
Franciosi, P., & Lormand, G. (2004). Using the Radon transform to solve inclusion problems in
elasticity. International Journal of Solids and Structures, 41(3/4), 585–606.
Franciosi, P., Spagnuolo, M., & Salman, O. U. (2019). Mean Green operators of deformable fiber
networks embedded in a compliant matrix and property estimates. Continuum Mechanics and
Thermodynamics, 31(1), 101–132.
Gao, X.-L., & Ma, H. M. (2009). Green’s function and Eshelby’s tensor based on a simplified strain
gradient elasticity theory. Acta Mechanica, 207, 163–181.
Gel’fand, I. M., Graev, M. I., & Vilenkin, N. Y. (1966). Generalized functions, v5: Integral geometry
and representation theory. New York: Academic Press.