### 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 parametrization 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 elastic stiffness and strength of such composites.

Original language | English (US) |
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Title of host publication | Composites and Functionally Graded Materials |

Editors | W.S. Chang, A. Gopinath, S.S. Sadhal, E.H. Trinh, C.J. Kim, al et al |

Publisher | ASME |

Pages | 365-371 |

Number of pages | 7 |

Volume | 80 |

State | Published - 1997 |

Externally published | Yes |

Event | Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition - Dallas, TX, USA Duration: Nov 16 1997 → Nov 21 1997 |

### Other

Other | Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition |
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City | Dallas, TX, USA |

Period | 11/16/97 → 11/21/97 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Composites and Functionally Graded Materials*(Vol. 80, pp. 365-371). ASME.

**Statistics of strength of elastic-brittle composite materials.** / Starzewski, Martin Ostoja; Alzebdeh, K.; Jasiuk, Iwona M.

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

*Composites and Functionally Graded Materials.*vol. 80, ASME, pp. 365-371, Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition, Dallas, TX, USA, 11/16/97.

}

TY - GEN

T1 - Statistics of strength of elastic-brittle composite materials

AU - Starzewski, Martin Ostoja

AU - Alzebdeh, K.

AU - Jasiuk, Iwona M

PY - 1997

Y1 - 1997

N2 - 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 parametrization 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 elastic stiffness and strength of such composites.

AB - 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 parametrization 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 elastic stiffness and strength of such composites.

UR - http://www.scopus.com/inward/record.url?scp=0031382181&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031382181&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0031382181

VL - 80

SP - 365

EP - 371

BT - Composites and Functionally Graded Materials

A2 - Chang, W.S.

A2 - Gopinath, A.

A2 - Sadhal, S.S.

A2 - Trinh, E.H.

A2 - Kim, C.J.

A2 - et al, al

PB - ASME

ER -