find modulus of elasticity of the composite under, Mechanical Engineering

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find modulus of elasticity of the composite under

Find modulus of elasticity of the composite under isostrain:

A composite is made of alternate layers of 60% E-glass and 40% epoxy resin. If modulii of elasticity of E-glass and epoxy are respectively 72 GPa and 3 GPa, find modulus of elasticity of the laminated composite under isostrain and isostress conditions. Illustrate loading on sketch.

Solution

(a) Isostrain : Estrain = V f E f + Vm Em

= 0.6 × 72 + 0.4 × 3

= 44.4 GPa

(b) Isostress : E_stress = E_f E_m / V_fE_m+ V_mE_f = E _f / V_f+ V_m(E_f/E_m)

= 72 / (0.6 + 0.4 × (72/3) = 7.06 GPa

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