Properties for Design of Composite Structures. Neil McCartney

(4.128)

      and on subtraction that

(4.129)

      The substitution of (4.129) into (4.128) then leads to

(4.130)

      From (4.127) it follows on addition that

(4.131)

      and on subtraction that

(4.132)

      The substitution of (4.132) into (4.131) then leads to

(4.133)

      It now follows from (4.129) and (4.132) that

(4.134)

      and from (4.130), (4.133) and (4.134) that

      (4.135)

(4.136)

      As Cf=0, it follows from (4.115)–(4.117) that the stress and strain fields are uniform within the fibre. From (4.133) and (4.134)

(4.137)

      On substituting (4.136) into (4.137) to eliminate Dm, it can be shown that