### Abstract

The problem of determining the stress field around an arbitrary number of arbitrarily-located planar cracks in an anisotropic elastic half-space which adheres perfectly to an infinitely-long elastic strip is considered. The strip is made up of several layers of anisotropic materials which are perfectly bonded to one another. The multilayered medium is assumed to undergo an antiplane deformation. Suitable integral expressions are used to represent the displacement and the stress, leading to a system of hypersingular integral equations to be solved. For a specific example of the problem, which involves particular transversely-isotropic materials, the hypersingular integral equations are solved numerically, in order to calculate the relevant crack tip stress intensity factors.

Original language | English (US) |
---|---|

Pages (from-to) | 297-303 |

Number of pages | 7 |

Journal | Engineering Analysis with Boundary Elements |

Volume | 18 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1996 |

Externally published | Yes |

### Fingerprint

### Keywords

- Cracks
- Hypersingular integral formulation
- Multilayered half-space

### ASJC Scopus subject areas

- Computer Science Applications
- Computational Mechanics

### Cite this

**Multiple interacting planar cracks in an anisotropic multilayered medium under an antiplane shear stress : A hypersingular integral approach.** / Ang, W. T.; Gumel, Abba.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Multiple interacting planar cracks in an anisotropic multilayered medium under an antiplane shear stress

T2 - A hypersingular integral approach

AU - Ang, W. T.

AU - Gumel, Abba

PY - 1996/12

Y1 - 1996/12

N2 - The problem of determining the stress field around an arbitrary number of arbitrarily-located planar cracks in an anisotropic elastic half-space which adheres perfectly to an infinitely-long elastic strip is considered. The strip is made up of several layers of anisotropic materials which are perfectly bonded to one another. The multilayered medium is assumed to undergo an antiplane deformation. Suitable integral expressions are used to represent the displacement and the stress, leading to a system of hypersingular integral equations to be solved. For a specific example of the problem, which involves particular transversely-isotropic materials, the hypersingular integral equations are solved numerically, in order to calculate the relevant crack tip stress intensity factors.

AB - The problem of determining the stress field around an arbitrary number of arbitrarily-located planar cracks in an anisotropic elastic half-space which adheres perfectly to an infinitely-long elastic strip is considered. The strip is made up of several layers of anisotropic materials which are perfectly bonded to one another. The multilayered medium is assumed to undergo an antiplane deformation. Suitable integral expressions are used to represent the displacement and the stress, leading to a system of hypersingular integral equations to be solved. For a specific example of the problem, which involves particular transversely-isotropic materials, the hypersingular integral equations are solved numerically, in order to calculate the relevant crack tip stress intensity factors.

KW - Cracks

KW - Hypersingular integral formulation

KW - Multilayered half-space

UR - http://www.scopus.com/inward/record.url?scp=0030353490&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030353490&partnerID=8YFLogxK

U2 - 10.1016/S0955-7997(97)00002-7

DO - 10.1016/S0955-7997(97)00002-7

M3 - Article

AN - SCOPUS:0030353490

VL - 18

SP - 297

EP - 303

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

IS - 4

ER -