Problem 2774. Rule of mixtures (composites) - upper bound

The rule of mixtures is used in the mechanical design of composite structures to estimate the elastic modulus (Ec) based on the following properties:

  • Ef: elastic modulus of the fiber material
  • Em: elastic modulus of the matrix material
  • ff or fm: volume fraction of the fiber or matrix material (ff = 1 – fm)

Based on these values, the upper-bound (linear) estimate of elastic modulus is calculated by:

Ec = ff * Ef + (1 – ff) * Em.

Write a function to calculate this bound for various values.

Solve

Solution Stats

71.91% Correct | 28.09% Incorrect
Last Solution submitted on Nov 11, 2025

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