### Abstract

We study crack patterns and effective stress-strain response in unidirectional fiber-matrix composites subjected to out-of-plane and in-plane loading. The fibers are aligned in the longitudinal direction and arranged randomly, with no overlap, in the transverse plane. The fibers and the matrix are isotropic and elastic-brittle, which allows a parameterization of a wide range of composites in terms of a stiffness ratio and a strain-to-failure ratio. The analysis is carried out numerically using very fine two-dimensional spring networks permitting simulation of the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. Particular attention is given to the effects of scale and geometric randomness in these composites. We consider several 'windows of observation; (scales) and study crack patterns, types of constitutive responses, and statistics of the corresponding scale dependent effective stiffness and strength of such composites.

Original language | English |
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Title of host publication | Composites and functionally graded materials |

Editors | T.S. Srivatsan, A. Zavaliangos |

Publisher | The American Society of Mechanical Engineers |

Pages | 365-371 |

Number of pages | 7 |

State | Published - Jan 1 1998 |

Externally published | Yes |

### ASJC Scopus subject areas

- Materials Science(all)

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## Cite this

*Composites and functionally graded materials*(pp. 365-371). The American Society of Mechanical Engineers.