On the Modeling of Interfacial Zone Containing a Griffith Crack: Plane Problem

Stress Intensity Factors for a Functionally Graded Material Cylinder With an External Circumferential Crack

“…Studies presented in the literature [2][3][4][5][6][7] have shown that in non-homogeneous materials with continuously varying properties, the nature of the stress singularity at a crack tip would remain identical to that in homogeneous solids. Therefore, the computational methods for the SIFs in homogeneous solids can be adopted for that in non-homogeneous solids with only a few modifications.…”

“…Erdogan and co-workers [2][3][4][5] studied some problems of non-homogeneous elastic materials with cracks. Zou and co-workers [6,7] studied some crack problems in composites with a nonhomogeneous interlayer. An important conclusion given by these researches is that the nature of the stress singularity at a crack tip in non-homogeneous materials would remain as a standard square-root type, as in homogeneous solids, provided that the spatial distribution of the material property is continuous near and at the crack tip.…”

“…However, the analytical approach presented in that literature can only deal with some simple distributions of material properties, e.g. an exponential form [2][3][4][5] or power form [6,7]. It is difficult to investigate the influences of actual material property distributions on the fracture mechanics parameters.…”

Stress intensity factors for functionally graded solid cylinders

“…Erdogan and Delale et al [2±5] studied some problems of nonhomogeneous elastic materials with cracks. Zou and Wang et al [6,7] studied some crack problems in composites with nonhomogeneous interlayer. An important conclusion given by these researches is that, the nature of the stress singularity at a crack tip in nonhomogeneous materials would remain to be the standard square-root type as homogeneous solids, provided that the spatial distribution of the material property is continuous near and at the crack tip.…”

Multiple isoparametric finite element method for nonhomogeneous media

“…However, in some of these materials the mechanical properties do vary continuously and the continuity has to be considered. For examples, hydraulic fracturing of geophysical materials, interface crack problems in bonded materials [1,2], functionally graded materials [3] and so on, the continuity of the material properties should be considered undoubtedly in analysis. There have been a number of papers that studied the nonhomogeneous problem [4][5][6].…”