Conditions for matrix crack deflection at an interface in ceramic matrix composites

Energetic conditions for interfacial failure in the vicinity of a matrix crack in brittle matrix composites

“…The situation is different in the case of a stiffer matrix (strong singularity) because the propagation of the matrix crack is unstable (Martin et al, 1998). In contrast, it will be shown that the interfacial decohesion is inhibited.…”

“…In the case of a stiffer fibre (weak singularity), the situation is rather simple because the propagation of the matrix crack is stable (Martin et al, 1998). The applied load must be increased to propagate the crack and the results of the previous sections can be used.…”

“…The mode of deformation is axisymmetric so that the nonzero stresses r rr , r hh , r zz , r rz and displacement components u r , u z only depend on r and z. A finite element model already described elsewhere is used to obtain these components (Martin et al, 1998). The radial stress along the fibre/matrix interface is given by…”

“…A dedicated numerical procedure (Martin et al, 1998) was developed to estimate the normalised energy release rate A i ðl; dÞ. It is based on a virtual crack closure integral method and uses highly refined meshes in the vicinity of the crack tip.…”

Dynamic interfacial debonding initiation induced by an incident crack

“…1016/j.ijsolstr.2006.01.006 analyzing the first two cases, crack kinking and crack penetration (He and Hutchinson, 1989;Hutchinson and Suo, 1992;Gupta et al, 1992). The energy release rate ratios of the incident and kinked interfacial cracks, and the fracture toughness ratios of the matrix material and the interface are identified as major parameters to govern crack deflection/penetration (Evans and Zok, 1994;Martinez and Gupta, 1994;Ahn et al, 1998;Martin et al, 1998). Recently, experimentally and analytically studied the dynamic crack deflection/penetration phenomena.…”