Boundary element method in dynamic analysis of structures with cracks
A general characteristics of the boundary element approaches used in the analysis of structures with cracks: the subregion method, the displacement discontinuity method and the dual method are presented. The dual method uses simultaneously the displacement and the traction boundary integral equations. The method is combined with the time domain method, the integral transform method and the dual reciprocity method. The boundary integral equations for a two-dimensional analysis and their numerical implementations are described. The dynamic stress intensity factors, which characterize the stress field at the crack tip are computed using the crack opening displacements and the path independent integrals. The crack growth with constant and variable velocity, which depends on the fracture criterion is modelled. The methods are used to compute displacements, dynamic stress intensity factors and crack paths for dynamically loaded machine parts: a rectangular plate, a support, a crank, a rotating disc, a trapezoidal plate and to model a dynamic crack experiment.
boundary element method crack time domain method integral transform method dual reciprocity method dynamic fracture mechanics