Find modulus of elasticity of the composite under isostrain, Mechanical Engineering

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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 : Estress = E f Em /  VfEm+ VmEf = E f /  Vf + Vm(Ef/Em)

=          72 / (0.6 + 0.4 × (72/3)     = 7.06 GPa


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