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3.5 The influence of pressure on the FEA pipe model<br />

The aim of this section is to study the influence of the internal pressure on the<br />

model shown in Figure 3.2. This study assumes the pipe is perfectly straight <strong>an</strong>d there is<br />

no effect of bending moments normally induced by misalignment.<br />

3.5.1 Pressure test on the converged model<br />

This section discusses the convergence study that had been carried out on the<br />

numerical model, based on a const<strong>an</strong>t pressure of 10 bar, <strong>an</strong>d the results are summarised<br />

in Table 3.1. The convergence of stress <strong>an</strong>d strain values at the notch root was achieved<br />

when the number of elements had reached 14,504.<br />

Table 3.1: The convergence study at the notch root - const<strong>an</strong>t pressure of 10 bar<br />

No of<br />

Elements<br />

Hoop Stress<br />

( x ) - MPa<br />

Axial Stress<br />

( y ) - MPa<br />

71<br />

Hoop Strain<br />

( x ) x 10 -5<br />

Axial Strain<br />

( y ) x 10 -5<br />

1,620 20.756 11.580 8.270 2.560<br />

4,170 20.183 11.367 8.035 2.550<br />

8,840 20.241 11.552 8.028 2.623<br />

12,558 20.261 11.635 8.027 2.652<br />

14,504 20.257 11.638 8.026 2.654<br />

After identifying the number of elements through the linear study, the pressure<br />

of 10 bar increments was applied on the inside surface of the model up to 50 bar.<br />

Results are summarized in Table 3.2 <strong>an</strong>d plotted in Figures 3.12 <strong>an</strong>d 3.13.

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