Encyclopedic Dictionary of Polymers

2011 Edition
| Editors: Jan W. Gooch

Lewis-Nielsen Equation

  • Jan W. Gooch
Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-6247-8_6884
An equation derived from the theory of mixtures that provides an estimate of the modulus of a short-fiber, thermoplastic composite. It is given below.
$$\eqalign{ E_c = {E_r (1 + 2AB\phi _f). \over {1 - B\psi \phi _f }} \ {\rm where}\ B = {{(E_f /E_r ) - 1} \over {(E_f /E_r ) + 2A}} \cr \hskip 18.5pt{\rm and} \ \psi = 1 + {(1 - V)\phi_{f_r} \over {2V_r }}}$$
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Jan W. Gooch
    • 1
  1. 1.AtlantaUSA