Cody

Problem 2775. Rule of mixtures (composites) - lower bound

Created by goc3 in Community

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 lower-bound estimate of elastic modulus is calculated by:

Ec = 1 / (ff / Ef + (1 – ff) / Em).

Write a function to calculate this bound for various values.

Solution Stats

95.45% Correct | 4.55% Incorrect
Last solution submitted on Apr 02, 2019