TY - JOUR
T1 - On convergence of the generalized Maxwell scheme
T2 - conductivity of composites containing cubic arrays of spherical particles
AU - Kushch, Volodymyr I.
AU - Mogilevskaya, Sofia
PY - 2016/10/2
Y1 - 2016/10/2
N2 - The Maxwell concept of equivalent inhomogeneity generalized to account for the interactions between the particles in the cluster and combined with recently reported results on the polarizability of a cube is used to evaluate the effective conductivities of the materials reinforced by cubic arrays of spherical particles. New numerical results demonstrate that the estimates of the effective properties based on the generalized Maxwell scheme with the equivalent inhomogeneity of cubic shape converge to the accurate periodic benchmark solutions, unlike spherical shape-based estimates.
AB - The Maxwell concept of equivalent inhomogeneity generalized to account for the interactions between the particles in the cluster and combined with recently reported results on the polarizability of a cube is used to evaluate the effective conductivities of the materials reinforced by cubic arrays of spherical particles. New numerical results demonstrate that the estimates of the effective properties based on the generalized Maxwell scheme with the equivalent inhomogeneity of cubic shape converge to the accurate periodic benchmark solutions, unlike spherical shape-based estimates.
KW - Maxwell equivalent inhomogeneity
KW - composite materials
KW - effective properties
KW - polarizability
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U2 - 10.1080/09500839.2016.1234720
DO - 10.1080/09500839.2016.1234720
M3 - Article
AN - SCOPUS:84988358449
SN - 0950-0839
VL - 96
SP - 392
EP - 401
JO - Philosophical Magazine Letters
JF - Philosophical Magazine Letters
IS - 10
ER -