Localized load-sharing rules and Markov-Weibull fibers: A comparison of microcomposite failure data with Monte Carlo simulations

S. D. Durham; J. D. Lynch; W. J. Padgett; T. J. Horan; W. J. Owen; J. Surles

doi:10.1177/002199839703101805

Localized load-sharing rules and Markov-Weibull fibers: A comparison of microcomposite failure data with Monte Carlo simulations

S. D. Durham, J. D. Lynch, W. J. Padgett, T. J. Horan, W. J. Owen, J. Surles

Mathematics and Statistics

Research output: Contribution to journal › Review article › peer-review

36 Scopus citations

Abstract

Monte Carlo simulations are compared with strength data from carbon fibers and composites made from similar fibers, in order to investigate several issues concerning the failure of fibrous composite materials under tensile load. Failure of "bundles" consisting of up to 1000 fibers under several different localized load-sharing rules and two different models for fiber strength is simulated, and the chain-of-bundles model is used to simulate tows of varying gauge lengths. The relationships of composite strength, Weibull shape inflation and ineffective length are investigated for the new models. The issues of volume effects and critical crack growth are also discussed.

Original language	English
Pages (from-to)	1856-1882
Number of pages	27
Journal	Journal of Composite Materials
Volume	31
Issue number	18
DOIs	https://doi.org/10.1177/002199839703101805
State	Published - 1997

Keywords

Carbon composite
Carbon fibers
Chain-of-bundles model
Composite effect
Critical crack size
Ineffective length
Tows
Volume effect
Weibull shape inflation

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title = "Localized load-sharing rules and Markov-Weibull fibers: A comparison of microcomposite failure data with Monte Carlo simulations",

abstract = "Monte Carlo simulations are compared with strength data from carbon fibers and composites made from similar fibers, in order to investigate several issues concerning the failure of fibrous composite materials under tensile load. Failure of {"}bundles{"} consisting of up to 1000 fibers under several different localized load-sharing rules and two different models for fiber strength is simulated, and the chain-of-bundles model is used to simulate tows of varying gauge lengths. The relationships of composite strength, Weibull shape inflation and ineffective length are investigated for the new models. The issues of volume effects and critical crack growth are also discussed.",

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volume = "31",

pages = "1856--1882",

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T2 - A comparison of microcomposite failure data with Monte Carlo simulations

AU - Durham, S. D.

AU - Lynch, J. D.

AU - Padgett, W. J.

AU - Horan, T. J.

AU - Owen, W. J.

AU - Surles, J.

PY - 1997

Y1 - 1997

N2 - Monte Carlo simulations are compared with strength data from carbon fibers and composites made from similar fibers, in order to investigate several issues concerning the failure of fibrous composite materials under tensile load. Failure of "bundles" consisting of up to 1000 fibers under several different localized load-sharing rules and two different models for fiber strength is simulated, and the chain-of-bundles model is used to simulate tows of varying gauge lengths. The relationships of composite strength, Weibull shape inflation and ineffective length are investigated for the new models. The issues of volume effects and critical crack growth are also discussed.

AB - Monte Carlo simulations are compared with strength data from carbon fibers and composites made from similar fibers, in order to investigate several issues concerning the failure of fibrous composite materials under tensile load. Failure of "bundles" consisting of up to 1000 fibers under several different localized load-sharing rules and two different models for fiber strength is simulated, and the chain-of-bundles model is used to simulate tows of varying gauge lengths. The relationships of composite strength, Weibull shape inflation and ineffective length are investigated for the new models. The issues of volume effects and critical crack growth are also discussed.

KW - Carbon composite

KW - Carbon fibers

KW - Chain-of-bundles model

KW - Composite effect

KW - Critical crack size

KW - Ineffective length

KW - Tows

KW - Volume effect

KW - Weibull shape inflation

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