Properties for Design of Composite Structures. Neil McCartney

(4.115)

      (4.116)

(4.117)

      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

(4.118)

      (4.119)

      (4.120)

(4.121)

      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

(4.122)

      (4.123)

      (4.124)

(4.125)

      On imposing the continuity conditions (4.122)–(4.125), it follows that

(4.126)

      and that

(4.127)

      From (4.126), it follows on addition that

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