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Breaking-rate minimum predicts the collapse point of overloaded materials

Abstract

As a model of composite materials, we choose a bundle of fibers with stochastically distributed breaking thresholds for the individual fibers. The fibers are assumed to share the load equally, and to obey Hookean elasticity right up to the breaking point. We study the evolution of the fiber breaking rate at a constant load in excess of the critical load. The analysis shows that the breaking rate reaches a minimum when the system is half-way from its complete collapse.

Category

Academic article

Language

English

Author(s)

  • Srutarshi Pradhan
  • Per Christian Hemmer

Affiliation

  • SINTEF
  • Norwegian University of Science and Technology

Year

2009

Published in

Physical Review E. Statistical, Nonlinear, and Soft Matter Physics

ISSN

1539-3755

Volume

79

Issue

4

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