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XFEM analysis of the effects of voids, inclusions and other cracks on the dynamic stress intensity factor of a major crack
Author(s) -
Jiang S.,
Du C.,
Gu C.,
Chen X.
Publication year - 2014
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/ffe.12150
Subject(s) - classification of discontinuities , discontinuity (linguistics) , extended finite element method , stress intensity factor , materials science , finite element method , void (composites) , structural engineering , boundary element method , boundary (topology) , fracture mechanics , composite material , mathematical analysis , mathematics , engineering
ABSTRACT This paper is devoted to the extraction of the dynamic stress intensity factor (DSIF) for structures containing multiple discontinuities (cracks, voids and inclusions) by developing the extended finite element method (XFEM). In this method, four types of enrichment functions are used in the framework of the partition of unity to model interface discontinuity within the classical finite element method. In this procedure, elements that include a crack segment, the boundary of a void or the boundary of an inclusion are not required to conform to discontinuous edges. The DSIF is evaluated by the interaction integral. After the effectiveness of the implemented XFEM program is verified, the effects of voids, inclusions and other cracks on the DSIF of a stationary major crack are investigated by using XFEM. The results show that the dynamic effects have an influence on the path independence of the interaction integral, and these voids, inclusions and other cracks have a significant effect on the DSIF of the major crack.