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A composite material consists of parallel fibers of Young’s modulus Ef in a matrix of Young’s modulus Em The volume fraction of fibers is Vf Derive an expression


A composite material consists of parallel fibers of Young’s modulus Ef in a matrix of Young’s modulus Em. The volume fraction of fibers is Vf. Derive an expression for Ec, Young’s modulus of the composite along the direction of the fibers, in terms of Ef, Em and Vf. Obtain an analogous expression for the density of the composite, rc. Using material parameters given in the next table, find rc and Ec for the following composites: (a) carbon fiber–epoxy resin (V= 0.5), (b) glass fiber–polyester resin (Vf = 0.5), (c) steel–concrete (Vf = 0.02).

 

May 16 2020 View more View Less

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