alt="table attributes columnalign left end attributes row cell E subscript text A end text end subscript superscript text eff end text end superscript alpha subscript text A end text end subscript superscript text eff end text end superscript plus fraction numerator 4 nu subscript text A end text end subscript superscript text eff end text end superscript left parenthesis alpha subscript text T end text end subscript superscript text eff end text end superscript plus nu subscript text A end text end subscript superscript text eff end text end superscript alpha subscript text A end text end subscript superscript text eff end text end superscript right parenthesis over denominator fraction numerator 1 over denominator k subscript text T end text end subscript superscript text eff end text end superscript end fraction plus 1 over mu subscript text m end text end subscript end fraction equals sum from i equals 1 to N of V subscript text f end text end subscript superscript i E subscript text A end text end subscript superscript text f end text left parenthesis i right parenthesis end superscript alpha subscript text A end text end subscript superscript text f end text left parenthesis i right parenthesis end superscript plus V subscript text m end text end subscript E subscript text m end text end subscript alpha subscript text m end text end subscript end cell row cell space space space space space space space space space space space space space space space space space space space space space space space plus sum from i equals 1 to N of V subscript text f end text end subscript superscript i fraction numerator 4 nu subscript text A end text end subscript superscript text f end text left parenthesis i right parenthesis end superscript left parenthesis alpha subscript text T end text end subscript superscript text f end text left parenthesis i right parenthesis end superscript plus nu subscript text A end text end subscript superscript text f end text left parenthesis i right parenthesis end superscript alpha subscript text A end text end subscript superscript text f end text left parenthesis i right parenthesis end superscript right parenthesis over denominator fraction numerator 1 over denominator k subscript text T end text end subscript superscript text f end text left parenthesis i right parenthesis end superscript end fraction plus 1 over mu subscript text m end text end subscript end fraction plus V subscript text m end text end subscript fraction numerator 4 nu subscript text m end text end subscript left parenthesis alpha subscript text m end text end subscript plus nu subscript text m end text end subscript alpha subscript text m end text end subscript right parenthesis over denominator fraction numerator 1 over denominator k subscript text T end text end subscript superscript text m end text end superscript end fraction plus 1 over mu subscript text m end text end subscript end fraction. end cell end table"/>(4.160)
4.8 Summary of Results for Multiphase Composites
It is useful to bring together the results that have been derived for multiphase fibre-reinforced composites. The values of the effective properties κAeff, κTeff, EAeff, ETeff, νAeff, νteff, kTeff, μAeff, μteff, αAeff and αTeff of the transverse isotropic unidirectionally fibre-reinforced composite may be obtained from the following set of formulae, obtained from relations (4.10), (4.13), (4.66)–(4.69), (4.91), (4.147), (4.152) and (4.160)
