### 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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Pages | 365-371 |

Number of pages | 7 |

State | Published - Dec 1 1997 |

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 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Statistics of strength of elastic-brittle composite materials*. 365-371. Paper presented at Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition, Dallas, TX, USA, .

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

Research output: Contribution to conference › Paper

}

TY - CONF

T1 - Statistics of strength of elastic-brittle composite materials

AU - Ostoja-Starzewski, M.

AU - Alzebdeh, K.

AU - Jasiuk, I.

PY - 1997/12/1

Y1 - 1997/12/1

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 - Paper

AN - SCOPUS:0031382181

SP - 365

EP - 371

ER -