As an important parameter to assess the crack pipe fracture toughness,stress intensity factor determined is particularly important. In order to solve practical engineering problems,most of them are three-dimensional crack problems,crack mouth widening energy release rate based on the principle of virtual work and bending theory,i. e. G*integral theory is proposed to solve the problem of flat-elliptic cross section cracked pipe with boundary,and the stress intensity factors which are related to G*integral are given under tensile load for flat-elliptic cross-section tube crack. The results show application of this method is simple,and closed-form solution can be obtained.