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In this modelling work (i.e. composite-based repaired pipeline) that involved<br />

three different types of material, namely steel, epoxy compound <strong>an</strong>d composite, a<br />

st<strong>an</strong>dard linear hexahedral with reduced integration elements was used, as shown in<br />

Figure 3.4 after considering various factors including suiting the CPU time <strong>an</strong>d memory<br />

consumption. Based on the literature provided by Kim <strong>an</strong>d Son (2004), the reduced<br />

integration elements may avoid problems associated with incompressibility. Although<br />

Gaussi<strong>an</strong> quadratures have been extensively used for the numerical integration of<br />

functions where exact integration is not possible, as reported by Mousavi et al. (2010),<br />

Simpson‘s rule was used in this study. This rule is actually <strong>an</strong>other member of a family<br />

of formulae for numerical integration besides the trapezoidal rule, <strong>an</strong>d in general has a<br />

faster convergence th<strong>an</strong> the trapezoidal rule for functions, though not in all specific<br />

cases as mentioned by Uribe <strong>an</strong>d Neugebauer (2002).<br />

Figure 3.4: The selection of the parameters (i.e. element type) in the composite<br />

based pipeline repair<br />

59

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