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Rule of Mixtures Modulus Calculator

Enter the fiber volume fraction and the fiber and matrix moduli.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

For a fiber-reinforced composite, the rule of mixtures gives two bounding estimates of the elastic modulus. The Voigt (parallel, isostrain) upper bound, E_V = Vf·Ef + Vm·Em, applies when loading runs along the fiber direction; the Reuss (series, isostress) lower bound, 1/E_R = Vf/Ef + Vm/Em, applies when loading runs transverse to the fibers.

A real composite's stiffness falls somewhere between these two bounds depending on the loading direction and fiber arrangement. This calculator is used by materials engineers and composite mechanics students to get a quick stiffness estimate before turning to more detailed micromechanics models or finite-element analysis.

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