Journal of Theoretical
and Applied Mechanics
49, 4, pp. 987-1001, Warsaw 2011
and Applied Mechanics
49, 4, pp. 987-1001, Warsaw 2011
The inverse determination of volume fraction of fibres in reinforced composite with imperfect thermal contact between constituents
The paper considers the problem of determination of the volume fraction of fibres in an unidirectionally reinforced composite in order to provide the appropriate effective thermal conductivity. The problem formulated in such a way should be treated as an inverse heat transfer problem. The thermal conductivities of constituents (fibres and matrix) and fibres arrangement are known. The calculations are carried out for an imperfect thermal contact between the fibres and matrix.
Keywords: effective thermal conductivity, inverse heat transfer problem, boundary collocation
method, Newton method