### Abstract

The asymptotic stress field near the tip of a crack subjected to antiplane shear loading is analysed. The crack is growing quasi-statically along an elastic/elastic power-law creeping bimaterial interface. We find there is a separable solution with the following characteristics: for n < 3, where n is the power-law creeping exponent, the asymptotic stress field is dominated by the elastic strain rates and has an inverse square root singularity, r^{-1/2}, where r is the distance from the current crack tip. For n > 3, the near-tip stress and strain fields has a singularity of the form r^{-1(n-1)}. The strength of this field is completely specified by the current crack growth rate, besides material properties, and is otherwise independent of the applied load and of the prior crack growth history.

Original language | English (US) |
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Pages (from-to) | 384-389 |

Number of pages | 6 |

Journal | Journal of Applied Mechanics, Transactions ASME |

Volume | 61 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1994 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering

### Cite this

**Asymptotic stress field of a mode III crack growing along an elastic/elastic power-law creeping bimaterial interface.** / Hui, C. Y.; Saif, M. T.A.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Asymptotic stress field of a mode III crack growing along an elastic/elastic power-law creeping bimaterial interface

AU - Hui, C. Y.

AU - Saif, M. T.A.

PY - 1994/6

Y1 - 1994/6

N2 - The asymptotic stress field near the tip of a crack subjected to antiplane shear loading is analysed. The crack is growing quasi-statically along an elastic/elastic power-law creeping bimaterial interface. We find there is a separable solution with the following characteristics: for n < 3, where n is the power-law creeping exponent, the asymptotic stress field is dominated by the elastic strain rates and has an inverse square root singularity, r-1/2, where r is the distance from the current crack tip. For n > 3, the near-tip stress and strain fields has a singularity of the form r-1(n-1). The strength of this field is completely specified by the current crack growth rate, besides material properties, and is otherwise independent of the applied load and of the prior crack growth history.

AB - The asymptotic stress field near the tip of a crack subjected to antiplane shear loading is analysed. The crack is growing quasi-statically along an elastic/elastic power-law creeping bimaterial interface. We find there is a separable solution with the following characteristics: for n < 3, where n is the power-law creeping exponent, the asymptotic stress field is dominated by the elastic strain rates and has an inverse square root singularity, r-1/2, where r is the distance from the current crack tip. For n > 3, the near-tip stress and strain fields has a singularity of the form r-1(n-1). The strength of this field is completely specified by the current crack growth rate, besides material properties, and is otherwise independent of the applied load and of the prior crack growth history.

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UR - http://www.scopus.com/inward/citedby.url?scp=0028444042&partnerID=8YFLogxK

U2 - 10.1115/1.2901455

DO - 10.1115/1.2901455

M3 - Article

AN - SCOPUS:0028444042

VL - 61

SP - 384

EP - 389

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

SN - 0021-8936

IS - 2

ER -