### Abstract

In this paper the stress and displacement fields near an embedded crack corner in a linear elastic medium are analytically computed. The conical-spherical coordinate system is introduced to solve this problem. It is observed that the strength of the stress singularity depends on the angle of the crack corner. The singularity becomes weaker, varying from r^{-1} to r^{0}, as the angle of the crack corner varies from 360° to 0°. Both symmetric and skew-symmetric loadings give the same variation of the behavior of the stress singularity. It is also found that the order of the singularity is independent of the Poisson's ratio, unlike the corner cracks at a free surface where Poisson's ratio affects the results.

Original language | English (US) |
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Pages (from-to) | 1-16 |

Number of pages | 16 |

Journal | Journal of Elasticity |

Volume | 39 |

Issue number | 1 |

State | Published - Apr 1995 |

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### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Computational Mechanics
- Mechanics of Materials
- Materials Science(all)

### Cite this

*Journal of Elasticity*,

*39*(1), 1-16.

**Stress singularities at crack corners.** / Xu, L.; Kundu, Tribikram.

Research output: Contribution to journal › Article

*Journal of Elasticity*, vol. 39, no. 1, pp. 1-16.

}

TY - JOUR

T1 - Stress singularities at crack corners

AU - Xu, L.

AU - Kundu, Tribikram

PY - 1995/4

Y1 - 1995/4

N2 - In this paper the stress and displacement fields near an embedded crack corner in a linear elastic medium are analytically computed. The conical-spherical coordinate system is introduced to solve this problem. It is observed that the strength of the stress singularity depends on the angle of the crack corner. The singularity becomes weaker, varying from r-1 to r0, as the angle of the crack corner varies from 360° to 0°. Both symmetric and skew-symmetric loadings give the same variation of the behavior of the stress singularity. It is also found that the order of the singularity is independent of the Poisson's ratio, unlike the corner cracks at a free surface where Poisson's ratio affects the results.

AB - In this paper the stress and displacement fields near an embedded crack corner in a linear elastic medium are analytically computed. The conical-spherical coordinate system is introduced to solve this problem. It is observed that the strength of the stress singularity depends on the angle of the crack corner. The singularity becomes weaker, varying from r-1 to r0, as the angle of the crack corner varies from 360° to 0°. Both symmetric and skew-symmetric loadings give the same variation of the behavior of the stress singularity. It is also found that the order of the singularity is independent of the Poisson's ratio, unlike the corner cracks at a free surface where Poisson's ratio affects the results.

UR - http://www.scopus.com/inward/record.url?scp=0029288877&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029288877&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0029288877

VL - 39

SP - 1

EP - 16

JO - Journal of Elasticity

JF - Journal of Elasticity

SN - 0374-3535

IS - 1

ER -