2- Derive the rule-of-mixtures expression for the composite extensional modulus E assuming the existence of an...

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2- Derive the rule-of-mixtures expression for the composite extensional modulus E assuming the existence of an interphase region. The starting point for the derivation would be the model shown below. For simplicity, assume the interphase, like the matrix, is isotropic with modulus E. With an interphase region there is a volume fraction associated with the interphase (i.e.,V;). For this situation: vf+ym+vi = 1 |w>||+w">| 2- Derive the rule-of-mixtures expression for the composite extensional modulus E assuming the existence of an interphase region. The starting point for the derivation would be the model shown below. For simplicity, assume the interphase, like the matrix, is isotropic with modulus E. With an interphase region there is a volume fraction associated with the interphase (i.e.,V;). For this situation: vf+ym+vi = 1 |w>||+w">|