On convergence of the generalized Maxwell scheme: conductivity of composites containing cubic arrays of spherical particles

Volodymyr I. Kushch, Sofia Mogilevskaya

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)392-401
Number of pages10
JournalPhilosophical Magazine Letters
Volume96
Issue number10
DOIs
StatePublished - Oct 2 2016

Keywords

  • Maxwell equivalent inhomogeneity
  • composite materials
  • effective properties
  • polarizability

Fingerprint Dive into the research topics of 'On convergence of the generalized Maxwell scheme: conductivity of composites containing cubic arrays of spherical particles'. Together they form a unique fingerprint.

Cite this