TY - JOUR
T1 - Computing edge stress intensity functions (ESIFs) along circular 3-D edges
AU - Yosibash, Zohar
AU - Shannon, Samuel
N1 - Funding Information:
The authors thank Profs. Monique Dauge and Martin Costabel, IRMAR, University of Rennes 1, France for helpful discussions and insights. This research was supported by the Israel Science Foundation (Grant No. 444/10).
PY - 2014/2/1
Y1 - 2014/2/1
N2 - A newly developed method, named the quasi-dual function method (QDFM) is proposed for extracting edge stress intensity functions (ESIFs) along circular crack fronts from finite element solutions, in a general three-dimensional domain and boundary conditions. The mathematical machinery developed in the framework of the Laplace operator in Shannon et al. (2013) is extended here to the elasticity system and applied for the extraction of ESIFs from high-order finite element solutions.The QDFM has several important advantages: (a) It allows to extract the ESIFs away from the singular edge, thus avoiding the need for a refined FE mesh, (b) The ESIFs are obtained as a function along the edge and not as pointwise values, and (c) The method is general in the sense that it is applicable to any circular edge (be it a penny shaped crack, a cylindrical crack or a circular external crack). Numerical examples are provided that demonstrate the efficiency, robustness and high accuracy of the proposed QDFM.
AB - A newly developed method, named the quasi-dual function method (QDFM) is proposed for extracting edge stress intensity functions (ESIFs) along circular crack fronts from finite element solutions, in a general three-dimensional domain and boundary conditions. The mathematical machinery developed in the framework of the Laplace operator in Shannon et al. (2013) is extended here to the elasticity system and applied for the extraction of ESIFs from high-order finite element solutions.The QDFM has several important advantages: (a) It allows to extract the ESIFs away from the singular edge, thus avoiding the need for a refined FE mesh, (b) The ESIFs are obtained as a function along the edge and not as pointwise values, and (c) The method is general in the sense that it is applicable to any circular edge (be it a penny shaped crack, a cylindrical crack or a circular external crack). Numerical examples are provided that demonstrate the efficiency, robustness and high accuracy of the proposed QDFM.
KW - 3-D singularities
KW - Edge stress intensity functions
KW - Penny-shaped crack
KW - Quasi-dual function method
UR - http://www.scopus.com/inward/record.url?scp=84897660626&partnerID=8YFLogxK
U2 - 10.1016/j.engfracmech.2014.01.013
DO - 10.1016/j.engfracmech.2014.01.013
M3 - Article
AN - SCOPUS:84897660626
SN - 0013-7944
VL - 117
SP - 127
EP - 151
JO - Engineering Fracture Mechanics
JF - Engineering Fracture Mechanics
ER -