### Abstract

We find the elastic fields in a half-space (matrix) having a spherical inclusion and subjected to either a remote shear stress parallel to its traction-free boundary or to a uniform shear transformation strain (eigenstrain) in the inclusion. The inclusion has distinct properties from those of the matrix, and the interface between the inclusion and the surrounding matrix is either perfectly bonded or is allowed to slip without friction. We obtain an analytical solution to this problem using displacement potentials in the forms of infinite integrals and infinite series. We include numerical examples which give the local elastic fields due to the inclusion and the traction-free surface.

Original language | English (US) |
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Pages (from-to) | 471-479 |

Number of pages | 9 |

Journal | Journal of Applied Mechanics, Transactions ASME |

Volume | 64 |

Issue number | 3 |

DOIs | |

State | Published - Sep 1997 |

Externally published | Yes |

### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering

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## Cite this

*Journal of Applied Mechanics, Transactions ASME*,

*64*(3), 471-479. https://doi.org/10.1115/1.2788917