### Abstract

To study the stability of mode I (opening-mode) fracture, we consider a two-dimensional system in which a crack moves along the center line of a very wide, infinitely long strip. We compute the first-order response of the crack to a spatially periodic, perturbing shear stress. We assume isotropic linear elasticity in the strip and a cohesive-zone model of the crack tip. The behavior of this system is strongly sensitive to the dynamics within the cohesive zone; stability cannot be deduced simply from properties of the far-field stress-intensity factors. When the mode I and mode II (sliding-mode) fracture energies are equal, the crack is marginally stable at zero speed and is unstable against deflection at all nonzero speeds. However, when the cohesive stress has a shear component that strongly resists bending into mode II, there is a nonvanishing critical velocity for the onset of instability.

Original language | English |
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Pages (from-to) | 2864-2880 |

Number of pages | 17 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 53 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 1996 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

### Cite this

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*53*(3), 2864-2880. https://doi.org/10.1103/PhysRevE.53.2864

**Linear stability analysis for propagating fracture.** / Ching, Emily S.C.; Langer, J. S.; Nakanishi, Hiizu.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 53, no. 3, pp. 2864-2880. https://doi.org/10.1103/PhysRevE.53.2864

}

TY - JOUR

T1 - Linear stability analysis for propagating fracture

AU - Ching, Emily S.C.

AU - Langer, J. S.

AU - Nakanishi, Hiizu

PY - 1996/1/1

Y1 - 1996/1/1

N2 - To study the stability of mode I (opening-mode) fracture, we consider a two-dimensional system in which a crack moves along the center line of a very wide, infinitely long strip. We compute the first-order response of the crack to a spatially periodic, perturbing shear stress. We assume isotropic linear elasticity in the strip and a cohesive-zone model of the crack tip. The behavior of this system is strongly sensitive to the dynamics within the cohesive zone; stability cannot be deduced simply from properties of the far-field stress-intensity factors. When the mode I and mode II (sliding-mode) fracture energies are equal, the crack is marginally stable at zero speed and is unstable against deflection at all nonzero speeds. However, when the cohesive stress has a shear component that strongly resists bending into mode II, there is a nonvanishing critical velocity for the onset of instability.

AB - To study the stability of mode I (opening-mode) fracture, we consider a two-dimensional system in which a crack moves along the center line of a very wide, infinitely long strip. We compute the first-order response of the crack to a spatially periodic, perturbing shear stress. We assume isotropic linear elasticity in the strip and a cohesive-zone model of the crack tip. The behavior of this system is strongly sensitive to the dynamics within the cohesive zone; stability cannot be deduced simply from properties of the far-field stress-intensity factors. When the mode I and mode II (sliding-mode) fracture energies are equal, the crack is marginally stable at zero speed and is unstable against deflection at all nonzero speeds. However, when the cohesive stress has a shear component that strongly resists bending into mode II, there is a nonvanishing critical velocity for the onset of instability.

UR - http://www.scopus.com/inward/record.url?scp=0003069563&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevE.53.2864

DO - 10.1103/PhysRevE.53.2864

M3 - Article

AN - SCOPUS:0003069563

VL - 53

SP - 2864

EP - 2880

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 3

ER -