An automatic crack growth algorithm is presented to analyze the stable crack propagation for arbitrary three-dimensional problems considering linear-elastic material behaviour. The numerical simulation is based on the dual boundary element method (Dual BEM) and stress intensity factor calculation. The K-values along the crack front are evaluated very accurately from the numerical field of stresses by a special extrapolation algorithm controlled by the correlation coefficient. Several crack growth criteria have been implemented. For both problems with embedded cracks and problems with surface breaking cracks, the numerical model for the next step of the simulation is created in a fully automatic procedure. To illustrate the realized 3D-crack growth algorithm, numerical examples are shown and compared with experimental results.
[1]
T. Cruse,et al.
Boundary-integral equation analysis of cracked anisotropic plates
,
1975
.
[2]
Anthony R. Ingraffea,et al.
Two‐dimensional stress intensity factor computations using the boundary element method
,
1981
.
[3]
S. Mukherjee,et al.
Boundary element techniques: Theory and applications in engineering
,
1984
.
[4]
T. Cruse.
Boundary Element Analysis in Computational Fracture Mechanics
,
1988
.
[5]
D. Rooke,et al.
The dual boundary element method: Effective implementation for crack problems
,
1992
.
[6]
A. F. Grandt,et al.
A fracture mechanics analysis of fatigue crack growth in a complex cross section
,
1996
.