The inclusion problem with a crack crossing the boundary

Interaction Between a Circular Inclusion and an Arbitrarily Oriented Crack

“…This problem of a crack terminating at and going through the interface was extensively studied in [10, 11, and 4]. It should also be noted that for y 2 = 0 and b/a = 3, k-j-j will be finite (see [4]). Figure 3 show the results for the other symmetric crack geometry, namely, b=0 and c variable.…”

“…The special cases of this problem in which the geometry of the medium and the external loads contain a plane of symmetry were considered in [1][2][3][4]. [4] also includes the solution of the problems for two collinear cracks (one in the matrix, one in the inclusion), for a crack terminating at the inclusionmatrix interface, and for a crack crossing the interface.…”

Mixed Boundary-value Problems in Mechanics

“…In addition to [28, 29, 35, 361,, further app lications of the singular integral equations with generalr ized Cauchy kernels may be found in [37][38][39].…”

The stress intensity factor Green's function for a crack interacting with a circular inclusion

“…Problems of the crack interaction with an elastic inclusion have been extensively discussed by various authors, for example, Atkinson [1], Erdogan and Gupta [2], Tlrosh and Tetelman [3]; Hutchinson [4], Steif [5], Ortiz [6], Wu [7]; Wu and Chen [8], Patton and Santare [9], Chudnovsky and Li [ 10] and [ 11 ]; details of their works can be found in numerous publications. Some of the analytical solutions in their essential part were based on the dislocation solutions which were earlier works of Dundurs et al in [12][13].…”