### 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 |

Publication status | Published - 1998 |

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### ASJC Scopus subject areas

- Materials Science(all)

### Cite this

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

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

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

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

}

TY - CHAP

T1 - Statistics of strength of elastic-brittle composite materials

AU - Ostoja-Starzewski, M.

AU - Alzebdeh, K.

AU - Jasiuk, I.

PY - 1998

Y1 - 1998

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 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.

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 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.

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M3 - Chapter

SP - 365

EP - 371

BT - Composites and functionally graded materials

A2 - Srivatsan, T.S.

A2 - Zavaliangos, A.

PB - The American Society of Mechanical Engineers

ER -