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The longitudinal modulus of a unidirectional lamina is estimated by

  • A.The inverse rule of mixtures
  • B.The average of the two constituents' moduli
  • C.The matrix modulus alone
  • D.The rule of mixtures, by volume fraction

Answer: D

Along the fibres both constituents strain equally, so their contributions add in proportion to volume. Because the fibre modulus so far exceeds the matrix's, the result is dominated by the fibres and by their volume fraction.

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