TY - JOUR
T1 - On Maxwells concept of equivalent inhomogeneity
T2 - When do the interactions matter?
AU - Mogilevskaya, Sofia G.
AU - Stolarski, Henryk K.
AU - Crouch, Steven L.
PY - 2012/3
Y1 - 2012/3
N2 - The concept of Maxwells equivalent inhomogeneity is re-evaluated in the context of the effective elastic properties of unidirectional multi-phase composite materials with the fibers of circular cross-section. The following key questions are addressed in this paper. Is the concept of equivalent inhomogeneity valid only for the materials with low volume fractions, as originally suggested by Maxwell? When do the interactions among the fibers matter? Could Maxwells concept be generalized to allow for accurate estimates of the effective properties? The approach advocated in the paper provides an unique opportunity to study, in the framework of one model, the effects of the interactions among fibers on the effective transversely isotropic elastic properties of multi-phase composite materials.
AB - The concept of Maxwells equivalent inhomogeneity is re-evaluated in the context of the effective elastic properties of unidirectional multi-phase composite materials with the fibers of circular cross-section. The following key questions are addressed in this paper. Is the concept of equivalent inhomogeneity valid only for the materials with low volume fractions, as originally suggested by Maxwell? When do the interactions among the fibers matter? Could Maxwells concept be generalized to allow for accurate estimates of the effective properties? The approach advocated in the paper provides an unique opportunity to study, in the framework of one model, the effects of the interactions among fibers on the effective transversely isotropic elastic properties of multi-phase composite materials.
KW - Elastic properties
KW - Maxwell approximation formula
KW - Multi-phase fiber-reinforced composites
UR - http://www.scopus.com/inward/record.url?scp=84855791121&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84855791121&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2011.12.008
DO - 10.1016/j.jmps.2011.12.008
M3 - Article
AN - SCOPUS:84855791121
SN - 0022-5096
VL - 60
SP - 391
EP - 417
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 3
ER -