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**Asymptotic study of the interfacial crack with friction.**
*(English)*
Zbl 0963.74048

Summary: We study a model of interfacial crack in which contact of the crack faces obeys a Coulomb law of friction. For such cracks it is possible that the stress has a singularity stronger than \(r^{-1/2}\) near the tip. In this paper, we demonstrate that these strong singularities can, in fact, be discarded, because they would assume a backward propagation of the crack. In passing, we prove that near-tip slip is possible in one direction only, which is imposed by the sign of the elastic mismatch. The locking of the stress intensity factor during a nonmonotonic cycle of loading is pointed out, as well as the formation of a bubble near the tip under certain loading conditions.

### MSC:

74R10 | Brittle fracture |

74M10 | Friction in solid mechanics |

74G70 | Stress concentrations, singularities in solid mechanics |

74G10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics |

### Keywords:

fracture; layered material; formation of bubble; interfacial crack; Coulomb law of friction; strong singularities; near-tip slip; stress intensity factor; nonmonotonic cycle of loading
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\textit{B. Audoly}, J. Mech. Phys. Solids 48, No. 9, 1851--1864 (2000; Zbl 0963.74048)

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### References:

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