The inclusion problem with a crack crossing the boundary | Zendy

F. Erdoğan | Zendy; G. D. Gupta | Zendy

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The inclusion problem with a crack crossing the boundary

Author(s) -

F. Erdoğan,

G. D. Gupta

Publication year - 1975

Publication title -

international journal of fracture

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.973

H-Index - 95

eISSN - 1573-2673

pISSN - 0376-9429

DOI - 10.1007/bf00034709

Subject(s) - stress intensity factor , gravitational singularity , limiting , singular integral , plane (geometry) , cauchy's integral formula , mathematical analysis , fissure , boundary (topology) , mathematics , cauchy distribution , inclusion (mineral) , singularity , stress (linguistics) , plane stress , geometry , integral equation , fracture mechanics , structural engineering , materials science , physics , engineering , composite material , cauchy problem , finite element method , initial value problem , mechanical engineering , linguistics , philosophy , thermodynamics

The problem of an elastic plane containing an elastic inclusion is considered. It is assumed that both the plane and the inclusion contain a radial crack and the two cracks are collinear. The problem is formulated in terms of a system of singular integral equations. In the interesting limiting cases in which the crack tips approach the interface from either one or both sides, the dominant parts of the kernels become generalized Cauchy kernels giving rise to stress singularities of other than 13-1 power. For these unusual cases of a crack terminating at or crossing the interface stress intensity factors are defined and some detailed results are given for various crack-inclusion geometries and material combinations.

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