A HEURISTIC APPROACH TO THE DETERMINATION OF THE EFFECTIVE THERMAL CONDUCTIVITY COEFFICIENTS OF BIPERIODIC COMPOSITE MEDIA

A heuristic approach to determining the effective thermal conductivity coeffi cients of unidirectionally reinforced
biperiodic composite media is suggested allowing one to substantially refi ne the calculated values of the effective
coeffi cients of transverse thermal conductivity of the indicated compositions by using the simplest partitioning of
a periodicity cell into thin layers (subelements) with subsequent application of the simplest formulas of averaging
by simple and inverse mixture rules. A comparison of the calculated values of these coeffi cients with familiar
experimental data is made. The good agreement of the prediction with experiment allows an assumption that the
method developed can be used for practical calculations of the thermophysical characteristics of fi brous media with
biperiodic structure. At the present time the accuracy of more complex structural models of the thermal conductivity
of unidirectionally reinforced composites lacks a strict experimental justifi cation.
A heuristic approach to determining the effective thermal conductivity coeffi cients of unidirectionally reinforced
biperiodic composite media is suggested allowing one to substantially refi ne the calculated values of the effective
coeffi cients of transverse thermal conductivity of the indicated compositions by using the simplest partitioning of
a periodicity cell into thin layers (subelements) with subsequent application of the simplest formulas of averaging
by simple and inverse mixture rules. A comparison of the calculated values of these coeffi cients with familiar
experimental data is made. The good agreement of the prediction with experiment allows an assumption that the
method developed can be used for practical calculations of the thermophysical characteristics of fi brous media with
biperiodic structure. At the present time the accuracy of more complex structural models of the thermal conductivity
of unidirectionally reinforced composites lacks a strict experimental justifi cation.
Author:  A. P. Yankovskii
Keywords:  thermal conductivity, composites, unidirectional reinforcement, structural theory, biperiodic medium
Page:  1574