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Figure 20 shows the failure index.
The failure index is obtained according to the stress results and the procedure of step 4. Figure 19 shows the failure index.
Proper failure criterion should be used to calculate the failure index around the wellbore.
Equation 62 expresses the failure index and if it becomes a minus value, the failure happens.
Fi is the failure index that is the percentage of T and RH values falling outside the tolerance range.
A hybrid approximation for the failure index is developed and is guaranteed to be convex using a convexifying approach.
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A pseudo-strength function (PSF) unifies the failure indices of the laminate layers of each finite element and allows for semi-analytical calculation of sensitivities with respect to layer thickness changes.
Elevated Ang-2 concentrations correlate with severity of illness as assessed by the injury severity score [ 15], the organ failure index [ 17], and the Acute Physiology and Chronic Health Evaluation (APACHE) II score or Sequential Organ Failure Assessment (SOFA) score [ 16, 18, 19].
The distributions of the ground failure index for Annan and Sinshih Districts are shown in Fig. 2 along with the positions of the geological investigation points.
According to Hashin matrix tension criteria, the first ply failure occurs at 3.746 kN when the Hashin failure index (R) becomes equal to 1. Whereas, in the case of experimental tests, the first ply failure occurs around 3.4 kN, at which force the first load drop is observed.
For internal reinforcing constituent of the beam which dominated by matrix, the matrix failure index of Hashin-Rotem's failure criterion was chosen and for outer part which governed by fibers the maximum stress theory is considered as damage initiation indicator.
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