A detailed analysis of cracks bridged by fibers. I: Limiting cases of short and long cracks. II: Cracks of intermediate size.

*(English)*Zbl 0807.73055Summary: Two axisymmetric bridged crack problems that correspond to the limiting cases of short and long cracks are studied. The objective is to understand such details of crack bridging as the tensile stress distribution in bridging fibers, the effect of bridging on crack propagation and the load transfer from bridging fibers to the matrix. The solution method, which accounts for interfacial slip explicitly, involves the use of continuous distributions of dislocation loops to represent the opening of the crack and the slip at the fiber-matrix interfaces. This yields a set of coupled singular integral equations, which are solved numerically. In Part II, cracks of intermediate size will be studied. The results will be used to determine the effect of initial flaw size on the proportional limit and to assess the range of validity of a commonly used model of crack bridging in which bridging fibers are represented by distributed springs.

##### MSC:

74R99 | Fracture and damage |

##### Keywords:

tensile stress distribution; load transfer; interfacial slip; dislocation loops; coupled singular integral equations; effect of initial flaw size
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\textit{G. Meda} and \textit{P. S. Steif}, J. Mech. Phys. Solids 42, No. 8, 1293--1341 (1994; Zbl 0807.73055)

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