Vol. 7, No. 3, 2012

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ISSN: 1559-3959
The inverse determination of the volume fraction of fibers in a unidirectionally reinforced composite for a given effective thermal conductivity

Magdalena Mierzwiczak and Jan Adam Kołodziej

Vol. 7 (2012), No. 3, 229–238
Abstract

We consider the problem of determining the volume fraction of fibers in a unidirectionally reinforced composite in order to provide the appropriate effective thermal conductivity. The problem is formulated in such a way as to be treated as an inverse heat transfer problem. The thermal conductivities of the constituents (fibers and matrix) and fiber arrangement are known. The calculations are carried out for a perfect thermal contact between the fibers and matrix.

Keywords
effective thermal conductivity, inverse heat transfer problem, boundary collocation method, Newton's method
Milestones
Received: 29 September 2010
Revised: 5 June 2011
Accepted: 15 December 2011
Published: 6 May 2012
Authors
Magdalena Mierzwiczak
Institute of Applied Mechanics
Poznan University of Technology
ul. Jana Pawla II 24
60-965 Poznan
Poland
Jan Adam Kołodziej
Institute of Applied Mechanics
Poznan University of Technology
ul. Jana Pawla II 24
60-965 Poznan
Poland