Abstract: In this paper, common criterions about residual strength evaluation at home and abroad are generalized and seven methods are acquired, namely ASME-B31G, DM, Wes-2805-97, CVDA-84, Burdekin, Irwin and Jintegral methods. BP neural network is combined with Genetic Algorithm (GA) named by modified BPGA methods to successfully predict residual strength and critical pressure of injecting corrosion pipelines.Examples are shown that calculation results of every kind of method have great difference and calculating values of Wes-2805-97 criterion ASME-B31G criterion, CVDA-84 criterion and Irwin fracture mechanics model are conservative and higher than that of J integral methods while calculating values of Burdiken model and DM fracture mechanics model are dangerous and less than that of J integral methods and calculating values of modified BP-GA methods are close and moderate to that of J integral methods. Therefore modified BP-GA methods and J integral methods are considered better methods to calculate residual strength and critical pressure of injecting corrosion pipelines.