Analysis of Three-Dimensional Cracks with Independent Crack Mesh
In order to simulate the growth of arbitrarily shaped three-dimensional cracks, the finite element alternating method is extended. As the required solution for a crack in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear is used. In the study, a crack is modeled as distribution of displacement discontinuities, and the governing equation is formulated as singularity-reduced integral equations. With the proposed method several example problems, such as a penny-shaped crack, an elliptical crack in an infinite solid and a semi-elliptical surface crack in an elbow are solved. And their growth under fatigue loading is also considered and the accuracy and efficiency of the method are demonstrated.
T. S. Kim et al., "Analysis of Three-Dimensional Cracks with Independent Crack Mesh ", Solid State Phenomena, Vol. 110, pp. 55-62, 2006