Effective conductivity of particle-reinforced composites with cracks at particle-matrix interface
Beata Krzaczek, Natalia Ryłko, Paweł Kurtyka
Quarterly No. 2, 2018 pages 115-120
DOI:
keywords: effective conductivity, particle-reinforced composite, cracks
abstract In the present paper, a new approximate analytical formula for the effective conductivity of 2D dilute composites with poorly conducting circular inclusions and cracks on the interface between the inclusions and the matrix is established. This formula is proved by Maxwell's approach and Keller's identity using advanced complex analysis. The obtained formula is used to determine the effective thermal conductivity of a composite material being an aluminum matrix based on Al-Mg-Si alloy reinforced with Al2O3 particles with the average size of about 25 microns and a volume fracture of 20%. The computer simulations results are presented in tables and illustrated by figures. It follows from the derived formulas that cracks reduce the effective heat conductivity about 9% with respect to the material without cracks.