StartFraction 4 k Subscript upper T Superscript eff Baseline left-parenthesis nu Subscript upper A Superscript eff Baseline right-parenthesis squared mu Subscript m Baseline Over k Subscript upper T Superscript eff Baseline plus mu Subscript m Baseline EndFraction equals sigma-summation Underscript i equals 1 Overscript upper N Endscripts upper V Subscript f Superscript i Baseline left-parenthesis upper E Subscript upper A Superscript f left-parenthesis i right-parenthesis Baseline plus StartFraction 4 k Subscript upper T Superscript f left-parenthesis i right-parenthesis Baseline left-parenthesis nu Subscript upper A Superscript f left-parenthesis i right-parenthesis Baseline right-parenthesis squared mu Subscript m Baseline Over k Subscript upper T Superscript f left-parenthesis i right-parenthesis Baseline plus mu Subscript m Baseline EndFraction right-parenthesis plus upper V Subscript m Baseline left-parenthesis upper E Subscript m Baseline plus StartFraction 4 k Subscript upper T Superscript m Baseline nu Subscript m Superscript 2 Baseline mu Subscript m Baseline Over k Subscript upper T Superscript m Baseline plus mu Subscript m Baseline EndFraction right-parenthesis comma"/>(4.168)
(4.169)
(4.170)
(4.171)
4.9 Results for Two-phase Fibre-reinforced Composites
For two-phase composites N = 1 so that, on writing Vf1=Vf=1−Vm, κAf(1)=κAf, κTf(1)=κTf, kTf(1)=kTf, μAf(1)=μAf, μtf(1)=μtf, EAf(1)=EAf, ETf(1)=ETf, νAf(1)=νAf, νtf(1)=νtf, αAf(1)=αAf and αTf(1)=αTf, the results of Section 4.8 may be written as
