### Abstract

The response of a very long composite layer being stretched beyond the elastic limit in a displacement controlled experiment is investigated. It is assumed that the load carried by a fiber is transferred, at failure, to its two neighbors. This local load sharing rule is shown to lead to the propagation of the fiber breaking process and to be the source of random spatial variations in the loads carried by the fibers. Then, a set of evolution equations is derived that governs the spatial distribution of the random loads in three types of unbroken fibers. The complexity associated with the determination of the solution to these equations has led to a Monte Carlo study that suggested an approximate solution technique. It is shown that this simpler, approximate formulation represents very well the initial set of equations. Finally, it is shown that the local load sharing rule leads to a much higher probability of broken fibers and to higher loads carried by the fibers than a global load sharing predicts. It is shown however that the mean value of these loads is well approximated by the global load sharing rule except for the location of the peak which is largely overpredicted by the global load sharing model.

Original language | English (US) |
---|---|

Pages (from-to) | 83-93 |

Number of pages | 11 |

Journal | Probabilistic Engineering Mechanics |

Volume | 10 |

Issue number | 2 |

DOIs | |

State | Published - 1995 |

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### ASJC Scopus subject areas

- Nuclear Energy and Engineering
- Aerospace Engineering
- Civil and Structural Engineering
- Mechanical Engineering
- Ocean Engineering
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Safety, Risk, Reliability and Quality

### Cite this

*Probabilistic Engineering Mechanics*,

*10*(2), 83-93. https://doi.org/10.1016/0266-8920(95)00006-K

**Random inelastic behavior of composite materials with local load sharing.** / Mignolet, Marc; Mallick, Kaushik.

Research output: Contribution to journal › Article

*Probabilistic Engineering Mechanics*, vol. 10, no. 2, pp. 83-93. https://doi.org/10.1016/0266-8920(95)00006-K

}

TY - JOUR

T1 - Random inelastic behavior of composite materials with local load sharing

AU - Mignolet, Marc

AU - Mallick, Kaushik

PY - 1995

Y1 - 1995

N2 - The response of a very long composite layer being stretched beyond the elastic limit in a displacement controlled experiment is investigated. It is assumed that the load carried by a fiber is transferred, at failure, to its two neighbors. This local load sharing rule is shown to lead to the propagation of the fiber breaking process and to be the source of random spatial variations in the loads carried by the fibers. Then, a set of evolution equations is derived that governs the spatial distribution of the random loads in three types of unbroken fibers. The complexity associated with the determination of the solution to these equations has led to a Monte Carlo study that suggested an approximate solution technique. It is shown that this simpler, approximate formulation represents very well the initial set of equations. Finally, it is shown that the local load sharing rule leads to a much higher probability of broken fibers and to higher loads carried by the fibers than a global load sharing predicts. It is shown however that the mean value of these loads is well approximated by the global load sharing rule except for the location of the peak which is largely overpredicted by the global load sharing model.

AB - The response of a very long composite layer being stretched beyond the elastic limit in a displacement controlled experiment is investigated. It is assumed that the load carried by a fiber is transferred, at failure, to its two neighbors. This local load sharing rule is shown to lead to the propagation of the fiber breaking process and to be the source of random spatial variations in the loads carried by the fibers. Then, a set of evolution equations is derived that governs the spatial distribution of the random loads in three types of unbroken fibers. The complexity associated with the determination of the solution to these equations has led to a Monte Carlo study that suggested an approximate solution technique. It is shown that this simpler, approximate formulation represents very well the initial set of equations. Finally, it is shown that the local load sharing rule leads to a much higher probability of broken fibers and to higher loads carried by the fibers than a global load sharing predicts. It is shown however that the mean value of these loads is well approximated by the global load sharing rule except for the location of the peak which is largely overpredicted by the global load sharing model.

UR - http://www.scopus.com/inward/record.url?scp=0029212639&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029212639&partnerID=8YFLogxK

U2 - 10.1016/0266-8920(95)00006-K

DO - 10.1016/0266-8920(95)00006-K

M3 - Article

AN - SCOPUS:0029212639

VL - 10

SP - 83

EP - 93

JO - Probabilistic Engineering Mechanics

JF - Probabilistic Engineering Mechanics

SN - 0266-8920

IS - 2

ER -