Abstract
Theoretical expressions are obtained for the stress and displacement fields in fibre-reinforced materials by replacing the fibres with matrix material containing an initial strain distribution which produces the same restraint to deformation as the fibres. The results are generated by Fourier methods from solutions for a periodic distribution of eigenstrains. Both a single fibre model and a regular array of fibres are considered, the effect of fibre spacing being examined in the latter case. Finally the problem of a regular distribution of fibres embedded in a matrix in the vicinity of an arbitrarily oriented free surface is solved. In all cases numerical results are presented.
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