Fiber mass fraction

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The fiber mass fraction is the ratio of the mass of the reinforcing fibers to the total mass of a fiber-reinforced material. The fiber mass fraction is abbreviated with . It is calculated analogously to the general mass fraction of a two-phase mixture. ${\displaystyle \psi }$

The fiber mass fraction is an important parameter for short fiber reinforced thermoplastics. They are often characterized by the corresponding fiber mass fraction, e.g. B. PA 12 GF 25 (polyamide 12 with 25% fiber mass fraction of glass fibers). The fiber volume fraction is of greater importance for the mechanical design .

calculation

${\displaystyle \psi ={\frac {m_{\mathrm {Faser} }}{m_{\mathrm {Verbund} }}}={\frac {m_{\mathrm {Faser} }}{m_{\mathrm {Faser} }+m_{\mathrm {Matrix} }}}}$

conversion

If the densities of the two components are known, the fiber mass fraction can be converted into the fiber volume fraction. ${\displaystyle \varphi ={\frac {\psi \cdot \rho _{\mathrm {Matrix} }}{\psi \cdot \rho _{\mathrm {Matrix} }+(1-\psi )\cdot \rho _{\mathrm {Faser} }}}}$

application

The fiber mass fraction takes place z. B. application in the calculation of the mixed price . Since both the matrix and fiber material are often traded in units of mass, the fiber mass fraction is the decisive factor.