The invention discloses a crack
stress intensity factor calculation method based on a three-
dimensional weight function method, and belongs to the technical field of reliability. Based on a complex variable function Taylor
series expansion method, a complex variable
finite element program is operated to obtain a weight function of given crack geometry, and then a
stress intensity factor of the crack is obtained through stress on a crack surface and weight function integration. Specifically, the method comprises the following steps: establishing a crack-containing finite
element model and dividing grids; carrying out perturbation on a crack tip unit node on an imaginary axis; running a complex variable
finite element program to obtain an imaginary part of a node crack opening direction on the crack surface so as to obtain a weight function on the crack surface; and solving the
stress intensity factor of the corner of the connecting
pipe by integrating the weight function of the crack surface and the stress of the crack surface. Compared with a two-
dimensional weight function, the method is expanded to three-dimensional elliptical cracks, and the application range is wider; by adopting the method, the calculation result of solving the stress
intensity factor of the corner of the connecting
pipe under the action of complex load is accurate, and the use is simple and effective.