An X-FEM based framework for 3D fatigue crack growth using a B-spline crack geometry description

This paper presents an X-FEM based iterative framework for numerical simulation of threedimensional fatigue crack propagation. To accurately describe the crack geometry, B-spline curves and surfaces are used for the crack front and faces respectively. A new crack front extension method based on the Moller-Trumbore algorithm is introduced to achieve fully automated crack growth for complex geometries. To validate the presented work, three different cases are discussed: (1) compact tension specimens with an asymmetrically located hole, (2) a beam with a slanted crack subjected to a three-point bending load and (3) a beam with a slanted crack subjected to a torsion load. Good agreement between the numerical and experimental results is observed.

Automated summary

This paper presents an X-FEM based iterative framework for numerical simulation of three-dimensional fatigue crack propagation. B-spline curves and surfaces are used to accurately describe the crack geometry, and a new crack front extension method based on the Moller-Trumbore algorithm is introduced. Good agreement between numerical and experimental results validates the effectiveness of the method.