General weight functions of the corner quarter-elliptical crack in three-dimensional rectangular plate were studied. Uniform
higher-precision and relatively wider-application-range approximate expressions of reference stress intensity factors were obtained
by using the reference finite element data of the stress intensity factor when the crack surface was subjected to in-plane uniform
linear and secondary power law distribution loading along the plate width. On this basis
the general weight functions of the corner quarter-elliptical crack in three-dimensional rectangular plate were obtained
the accuracy of the general weight functions was validated by finite element method finally when the crack surface was subjected to in-plane 3
5
7 times power law distribution loading. The results show that the accuracy of established general weight functions is raised from 4%(point A) and 6%(point B) to 1.06%(point A) and 1.6%(point B) compared with the existing general weight functions. The accuracy of complementary validation of stress intensity factors calculated by general weight function method under seven times power law distribution loading reaches 3.67%(point A) and 7.45%(point B).