Halpin-Tsai Equations for Short Fibers Filled Systems Numerical Illustration

2 Halpin-Tsai Equations for Short Fibers Filled Systems Numerical Illustration 

Flexural modulus (GPa) for O = 0,0.01.. 1 fiber volume ratio range glass fibers filled PP 

The Halpin-Tsai equation predicts a linear variation of the longitudinal modulus with increasing fiber volume fraction such a behavior is not exhibited by commercial PP + SGF composites likely because fibers are far to be perfectly aligned in such materials. 

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