A continuous and aligned glass fiber-reinforced composite consists of 35 % volume of glass fibers with a modulus of elasticity of 70 GPa and a polyester resin that, when hardened, displays a modulus of 4 GPa. What will be the modulus of elasticity of this composite material in longitudinal direction?
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Given that Elastic modulus of fiber, Ef=70 GPa, Elastic modulus of matrix, Em=4 GPa, Volume fraction of fibers, Vf=35%=0.35 Volume fraction of matrix, Vm=1-Vf=1-0.35=0.65 Using Rule of Mixture, the elastic modulus (Ec) of composite in longitudinal loading is given as Ec=EfVf+EmVm Substituting the coRead more
Given that
Elastic modulus of fiber, Ef=70 GPa,
Elastic modulus of matrix, Em=4 GPa,
Volume fraction of fibers, Vf=35%=0.35
Volume fraction of matrix, Vm=1-Vf=1-0.35=0.65
Using Rule of Mixture, the elastic modulus (Ec) of composite in longitudinal loading is given as
Ec=EfVf+EmVm
Substituting the corresponding values in above formula, we get
Ec=70×0.35+4×0.65
Ec=27.1 GPa
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