Due to their high cost and strategic importance, the search for solutions to extend the life cycle of pipeline networks is fully justifiable. Once a defect is detected, an attempt is made to restore operational capacity, repairing the defective section. Most studies are aimed at determining the behavior of a repaired pipe by using numerical and/or experimental techniques. Others present simple equations for the calculation of repair thickness trying to ensure a safe operation, yet without demonstrating the behavior of the pipe. In this study, an analytical methodology has been developed to determine the behavior of pipes repaired by attached metal sleeves or sleeves of composite material. This methodology also enables to know the stresses which may cause leakage and failure, be it on the pipe or on the repair area. It is believed that by using this methodology the project of a repair would be more efficient, enabling a better choice of repair material and thickness, according to the requirements of each project. Numerical simulation results are presented with the purpose of knowing the behavior, optimizing the sizing and assessing the results obtained analytically for this kind of repairs. Finally, a case study is presented, with the results of experimental tests and an example of application for determining repair thickness. This way it was possible to know behaviors that had not been studied numerically, and it was demonstrated that the control of defect deformations will depend on the elastic modulus and thickness of the repair, as was expected.