This dissertation investigates four geometries of pipe components that operate with internal pressure and contain metal loss defects in areas of their external surface. These components were repaired with two systems of composite materials that consisted of epoxy resin reinforced by glass fiber (ERFV) and epoxy resin reinforced by carbon fiber (ERFC). The following tubular specimens were studied: components with concentric diameter reducers, hot curved short radius elbow components, cold curved long radius elbow components and T-components. The finite element method was used to simulate the behavior of the specimens when submitted to hydrostatic tests. The simulations took into consideration the behavior of the material of the pipes API 5L Grade B in their elastic and plastic regions, and investigated the increase in the rupture strength of the pipes with defects that was provided by the presence of composite repairs. The results obtained with the finite element models, used for the determination of distributions of deformation and burst pressures, were compared with experimental results available for each pipe component. The results of these comparisons were satisfactory. Subsequently, simple analytical equations were developed to determine the optimized thicknesses for the composite repair systems and the results obtained from these equations were compared with the results determined with the finite element models and with other results obtained with equations recommended by international relevant standards. In conclusion, the finite element method used in this work satisfactorily simulated the behavior of the selected pipe components with defects of metal loss that were hydrostatically tested and that were repaired with composites materials. The numerical results helped to validate simple analytical equations that can be used in the determination of the optimized thicknesses of repair systems with composite materials.