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Question
A polymer matrix composite is reinforced with long continuous ceramic fibres aligned in one
direction. The Young's moduli of the matrix and fibres are Em and Ef respectively, and the volume
fraction of the fibres is f. Assuming iso-stress condition, Young's modulus of the composite EC in a
direction perpendicular to the length of fibres, is given by the expression
Options:
A .  EC = (1 - f)Em + fEf
B .  EC = (1 - f)Ef + fEm
C .  1/EC = (1 - f)/Em + f/Ef
D .  1/EC = (1 - f)/Ef + f/Em
Answer: Option C


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