TY - JOUR
T1 - Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth
AU - Peng, X.
AU - Atroshchenko, E.
AU - Kerfriden, P.
AU - Bordas, S. P A
PY - 2017/4/1
Y1 - 2017/4/1
N2 - We present a novel numerical method to simulate crack growth in 3D, directly from the Computer-Aided Design (CAD) geometry of the component, without any mesh generation. The method is an isogeometric boundary element method (IGABEM) based on non-uniform rational B-splines (NURBS). NURBS basis functions are used for the domain and crack representation as well as to approximate the physical quantities involved in the simulations. A stable quadrature scheme for singular integration is proposed to enhance the robustness of the method in dealing with highly distorted elements. Convergence studies in the crack opening displacement is performed for a penny-shaped crack and an elliptical crack. Two approaches to extract stress intensity factors (SIFs): the contour M integral and the virtual crack closure integral are compared using dual integral equations. The results show remarkable accuracy in the computed SIFs, leading to smooth crack paths and reliable fatigue lives, without requiring the generation of any mesh from the CAD model of the component under consideration.
AB - We present a novel numerical method to simulate crack growth in 3D, directly from the Computer-Aided Design (CAD) geometry of the component, without any mesh generation. The method is an isogeometric boundary element method (IGABEM) based on non-uniform rational B-splines (NURBS). NURBS basis functions are used for the domain and crack representation as well as to approximate the physical quantities involved in the simulations. A stable quadrature scheme for singular integration is proposed to enhance the robustness of the method in dealing with highly distorted elements. Convergence studies in the crack opening displacement is performed for a penny-shaped crack and an elliptical crack. Two approaches to extract stress intensity factors (SIFs): the contour M integral and the virtual crack closure integral are compared using dual integral equations. The results show remarkable accuracy in the computed SIFs, leading to smooth crack paths and reliable fatigue lives, without requiring the generation of any mesh from the CAD model of the component under consideration.
KW - Boundary element method
KW - Crack growth
KW - Fracture simulations directly from CAD
KW - Isogeometric analysis
KW - Linear elastic fracture
KW - NURBS
UR - http://www.scopus.com/inward/record.url?scp=84977477263&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2016.05.038
DO - 10.1016/j.cma.2016.05.038
M3 - Article
AN - SCOPUS:84977477263
VL - 316
SP - 151
EP - 185
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -