Effective conductivity of spheroidal particle composite with imperfect interfaces: Complete solutions for periodic and random micro structures

Autor: Volodymyr I. Kushch, A.S. Belyaev, Igor Sevostianov
Rok vydání: 2015
Předmět:
Zdroj: Mechanics of Materials. 89:1-11
ISSN: 0167-6636
Popis: The rigorous analytical approach to the conductivity homogenization problem for spheroidal particle composite with imperfect interfaces has been developed. The complete multipole series solution for a single inclusion with imperfect interface constitutes mathematical background of the work and provides a basic building block for the Maxwell and Rayleigh homogenization schemes. The low- and highly conducting spheroidal interface are considered in a unified way. The developed theory enables an analysis of composites of periodic and random micro structure with imperfect interfaces. Numerical study shows quite a significant combined effect of micro structure and imperfect interfaces on the macroscopic conductivity of composite. The obtained accurate solution serves as a benchmark for the known approximate theories. Their error due to neglecting the interaction effects and simplified treating the imperfect interfaces is estimated.
Databáze: OpenAIRE