In this paper, an analytical expression for transverse thermal
conductivities of unidirectional fibre
composites with thermal barrier is derived based on the
electrical analogy technique and on the
cylindrical filament-square packing array
unit cell model (C-S model). The
present analytical expressions both with and without thermal barrier between
fibre and matrix are presented. The present theoretical predictions without
thermal barrier are found to be in excellent agreement with the existing
analytical model and nomogram from the
finite difference method (FDM), and
in good agreement with existing experimental data.
Furthermore, the present
analytical predictions with thermal barrier
can best fit the experimental data and can provide a
higher accuracy than the finite element method (FEM). The validity of the
present analytical solution is thus verified for transverse thermal
conductivities of unidirectional fibre
composites with thermal barrier.