## Abstract

In the context of a functionally-graded composite whose matrix property varies linearly from the interface, exact analytical solutions were derived for the dependence of the effective bulk moduli of some particle- and fiber-reinforced composites on the moduli slope of the matrix phase. Specifically, four types of property variation in the matrix were considered. In the particle case: the slopes of the matrix properties emanate from the origin; the bulk modulus of the matrix varies linearly while its shear modulus remains constant; the shear modulus varies linearly while its bulk modulus remains constant; and incompressible matrix. In the fiber case, the plane-strain bulk modulus of the matrix varies instead of the 3D bulk modulus.

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

Pages (from-to) | 1-22 |

Number of pages | 22 |

Journal | Journal of Elasticity |

Volume | 53 |

Issue number | 1 |

DOIs | |

State | Published - Oct 1998 |

## All Science Journal Classification (ASJC) codes

- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering