## Abstract

A method for stress calculation around a shallow circular opening is presented. The model used consists of a circular plate, containing an eccentric circular hole, which is subjected to uniform horizontal traction. The elastic problem is formulated by a system of integral equations using potential functions. The integrals in the equation system and the rest of the problem contain kernels which are singular or weakly singular. In the solution of the equation system and the computation of stresses a new accurate numerical quadrature method is used. The method is applicable when the integrals are periodic. Therefore, the original model consisting of a shallow circular opening in an infinite half plane is converted into one of stresses within a circular plate containing an eccentric circular opening. Comparison of calculated stresses with Mindlin's analytical solution, shows an error smaller than 1.5% over most of the circular opening.

Original language | English |
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Pages | 745-754 |

Number of pages | 10 |

State | Published - 1987 |

Externally published | Yes |

Event | 28th U.S. Symposium on Rock Mechanics, USRMS 1987 - Tucson, United States Duration: 29 Jun 1987 → 1 Jul 1987 |

### Conference

Conference | 28th U.S. Symposium on Rock Mechanics, USRMS 1987 |
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Country/Territory | United States |

City | Tucson |

Period | 29/06/87 → 1/07/87 |

### Bibliographical note

Publisher Copyright:© 28th U.S. Symposium on Rock Mechanics, USRMS 1987. All rights reserved.