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maximum local stress at discontinuity could be m<strong>an</strong>y times greater th<strong>an</strong> the nominal<br />

stress of the pipe. To evaluate the corrosion damage in the region of local wall thinning,<br />

<strong>an</strong> SCF is needed as a function of defect geometry, pipe geometry <strong>an</strong>d loading, as<br />

reported by Kim <strong>an</strong>d Son (2004). Hence, the values of the elastic stress concentration<br />

factor for pipes with local wall thinning, subject to internal pressure <strong>an</strong>d global bending,<br />

using 3D elastic FEA (ABAQUS) have been established. The defect has been modelled<br />

as a circular shape in both axial <strong>an</strong>d circumferential directions inside the pipe.<br />

De Carvalho (2005) also demonstrates in the same way as Kim <strong>an</strong>d Son (2004)<br />

but with a radial u-notch inside the pipe instead. However, they all refer to maximum<br />

hoop stress at the notch root being determined by the finite element method. For the<br />

nominal hoop stress, De Carvalho (2005) refers to it as being calculated at the same<br />

point in the thickness <strong>an</strong>d the expression which describes hoop stress acting in a<br />

perfectly cylindrical region as;<br />

Equation 2.1)<br />

Where P is the internal pressure, , <strong>an</strong>d r are the inside, outside <strong>an</strong>d a given radius.<br />

The schematic representation of the model is shown in Figure 2.18.<br />

47

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