A Finite Element Program (FECGS): Post-Processor FEPOST - GKSS
A Finite Element Program (FECGS): Post-Processor FEPOST - GKSS
A Finite Element Program (FECGS): Post-Processor FEPOST - GKSS
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
5.3. THE WEAKEST LINK MODEL 61<br />
5.3 The Weakest link model<br />
Here, only the formulations used are listed, the detailed explanation and interpretation are not<br />
documented. The weakest link statistics adopted is:<br />
� � σ �<br />
δφ = 1 − exp −δV g(S)dS . (5.5)<br />
The total failure probability is thus,<br />
φ = 1 − exp<br />
Using three-parameter Weibull distribution,<br />
then one has,<br />
or,<br />
� σ<br />
Su<br />
φ = 1 − exp<br />
ln(1 − φ) = −fN<br />
�� V � � σ �<br />
−δV g(S)dS<br />
�<br />
. (5.6)<br />
� �m σ − Su<br />
g(S)dS =<br />
fN, (5.7)<br />
So<br />
� � V � σ − Su<br />
So<br />
� �m �<br />
σo<br />
V �<br />
σ − Su<br />
So<br />
�m �<br />
fNdV , (5.8)<br />
σo<br />
� m<br />
dV. (5.9)<br />
<strong>FEPOST</strong> calculates the volume integration shown in the right hand side of the above equa-<br />
tions (5.8) and (5.9).
Change language