### Abstract

We characterize fracture and effective stress-strain graphs in 2-D random composites subjected to a uni-axial in-plane uniform strain. The fibers are arranged randomly in the matrix. Both fibers and matrix are isotropic and elastic-brittle. We conduct this analysis numerically using a very fine two-dimensional triangular spring network and simulate the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. In particular, we focus on effects of scale (size of fibers) and geometric randomness in such composites. We consider several "windows of observation" (scales) and study crack patterns and types of constitutive responses. Based on that two stochastic micro-mechanic models are presented that can predict with confidence the failure probability of random matrix-inclusion composites.

Original language | English |
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Title of host publication | American Society for Composites - 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation |

Pages | 1750-1768 |

Number of pages | 19 |

Volume | 3 |

Publication status | Published - 2007 |

Event | 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation - Seattle, WA, United States Duration: Sep 17 2007 → Sep 19 2007 |

### Other

Other | 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation |
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Country | United States |

City | Seattle, WA |

Period | 9/17/07 → 9/19/07 |

### Fingerprint

### ASJC Scopus subject areas

- Ceramics and Composites

### Cite this

*American Society for Composites - 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation*(Vol. 3, pp. 1750-1768)

**Developing a stochastic model to predict the strength and crack path of random composites.** / Alkhateb, H.; Al-Ostaz, A.; Alzebdeh, K. I.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*American Society for Composites - 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation.*vol. 3, pp. 1750-1768, 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation, Seattle, WA, United States, 9/17/07.

}

TY - GEN

T1 - Developing a stochastic model to predict the strength and crack path of random composites

AU - Alkhateb, H.

AU - Al-Ostaz, A.

AU - Alzebdeh, K. I.

PY - 2007

Y1 - 2007

N2 - We characterize fracture and effective stress-strain graphs in 2-D random composites subjected to a uni-axial in-plane uniform strain. The fibers are arranged randomly in the matrix. Both fibers and matrix are isotropic and elastic-brittle. We conduct this analysis numerically using a very fine two-dimensional triangular spring network and simulate the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. In particular, we focus on effects of scale (size of fibers) and geometric randomness in such composites. We consider several "windows of observation" (scales) and study crack patterns and types of constitutive responses. Based on that two stochastic micro-mechanic models are presented that can predict with confidence the failure probability of random matrix-inclusion composites.

AB - We characterize fracture and effective stress-strain graphs in 2-D random composites subjected to a uni-axial in-plane uniform strain. The fibers are arranged randomly in the matrix. Both fibers and matrix are isotropic and elastic-brittle. We conduct this analysis numerically using a very fine two-dimensional triangular spring network and simulate the crack initiation and propagation by sequentially removing bonds which exceed a local fracture criterion. In particular, we focus on effects of scale (size of fibers) and geometric randomness in such composites. We consider several "windows of observation" (scales) and study crack patterns and types of constitutive responses. Based on that two stochastic micro-mechanic models are presented that can predict with confidence the failure probability of random matrix-inclusion composites.

UR - http://www.scopus.com/inward/record.url?scp=84867757924&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867757924&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781604239669

VL - 3

SP - 1750

EP - 1768

BT - American Society for Composites - 22nd Technical Conference of the American Society for Composites 2007 - Composites: Enabling a New Era in Civil Aviation

ER -