For this material the c.d.f. is given by $$F\left(\Xi\right)=\begin{cases} 0 & \Xi\leqslant\mu_{\min}\\ x^{3}\left(10-15x+6x^{2}\right) & \mu_{\min}<\Xi\leqslant\mu_{\max}\\ 1 & \mu_{\max}<\Xi \end{cases}\,,\quad x=\frac{\Xi-\mu_{\min}}{\mu_{\max}-\mu_{\min}}\,.$$ Note that $$F\left(\frac{1}{2}\left(\mu_{\min}+\mu_{\max}\right)\right)=\frac{1}{2}\,,$$ which shows that $\left(\mu_{\min}+\mu_{\max}\right)/2$ is the value of $\Xi$ at which half of the bonds break. The range $\mu_{\max}-\mu_{\min}$ regulates the rate at which damage increases with increasing $\Xi$ , with a narrower range producing a more rapid increase.

Example:

<damage type="CDF quintic">
  <mumin>0.3</mumin>
  <mumax>1.7</mumax>
  <Dmax>1</Dmax>
</damage>