Bounds on the Transverse Effective Conductivity of a Fiberreinforced Composite

摘要

Trial functions based on single cylindrical inclusion solution are used todetermine the upper and lower bounds on the transverse effective thermal conductivity of a fiber-reinforced composite. Uniform size of the fibers is assumed. Comparisons are made with the bounds derived from perturbation calculations. When the fiber volume fraction is less than 0.6, the present bounds are the sharpest in terms of the width of the bounds. Specifically, the present lower bound is slightly higher than the second-order (Hashin) lowerbounds; while the present upper bound is the least of all the upper bounds.