4.5.4 Displacement and Stress Fields in Matrix
The displacement and stress fields within the matrix must be bounded as r→∞ and it follows from (4.93), (4.108)–(4.110) and (4.113) that
The unknown coefficients Af,Cf,Bm,Dm are found by imposing continuity conditions at the interface between the isolated fibre and the matrix. The continuity conditions are given by
On imposing the continuity conditions (4.122)–(4.125), it follows that
and that
From (4.126), it follows on addition that