A numerical study on the application of the Weibull theory to brittle materials

S. L. Fok; B. C. Mitchell; J. Smart; B. J. Marsden

doi:10.1016/S0013-7944(01)00022-4

A numerical study on the application of the Weibull theory to brittle materials

S. L. Fok, B. C. Mitchell, J. Smart, B. J. Marsden

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, the effects of assuming that a brittle material can be modelled by the two-parameter Weibull distribution, if the true representation of the material behaviour is actually a three-parameter distribution, are examined. It is shown that if data from a material characterisation test is used to predict the failure of a component and the stressed surface areas are very different, then this can lead to major discrepancies in the predicted failure stress. It is also shown that if the three-parameter model is a true representation of the material behaviour, then the Weibull modulus for the two-parameter approximation will vary with surface area. © 2001 Elsevier Science Ltd. All rights reserved.

Original language	English
Pages (from-to)	1171-1179
Number of pages	8
Journal	Engineering Fracture Mechanics
Volume	68
Issue number	10
DOIs	https://doi.org/10.1016/S0013-7944(01)00022-4
Publication status	Published - 15 Jun 2001

Keywords

Brittle materials
Ceramics
Weibull theory

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10.1016/S0013-7944(01)00022-4

Cite this

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title = "A numerical study on the application of the Weibull theory to brittle materials",

abstract = "In this paper, the effects of assuming that a brittle material can be modelled by the two-parameter Weibull distribution, if the true representation of the material behaviour is actually a three-parameter distribution, are examined. It is shown that if data from a material characterisation test is used to predict the failure of a component and the stressed surface areas are very different, then this can lead to major discrepancies in the predicted failure stress. It is also shown that if the three-parameter model is a true representation of the material behaviour, then the Weibull modulus for the two-parameter approximation will vary with surface area. {\textcopyright} 2001 Elsevier Science Ltd. All rights reserved.",

keywords = "Brittle materials, Ceramics, Weibull theory",

author = "Fok, {S. L.} and Mitchell, {B. C.} and J. Smart and Marsden, {B. J.}",

year = "2001",

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doi = "10.1016/S0013-7944(01)00022-4",

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AU - Fok, S. L.

AU - Mitchell, B. C.

AU - Smart, J.

AU - Marsden, B. J.

PY - 2001/6/15

Y1 - 2001/6/15

N2 - In this paper, the effects of assuming that a brittle material can be modelled by the two-parameter Weibull distribution, if the true representation of the material behaviour is actually a three-parameter distribution, are examined. It is shown that if data from a material characterisation test is used to predict the failure of a component and the stressed surface areas are very different, then this can lead to major discrepancies in the predicted failure stress. It is also shown that if the three-parameter model is a true representation of the material behaviour, then the Weibull modulus for the two-parameter approximation will vary with surface area. © 2001 Elsevier Science Ltd. All rights reserved.

AB - In this paper, the effects of assuming that a brittle material can be modelled by the two-parameter Weibull distribution, if the true representation of the material behaviour is actually a three-parameter distribution, are examined. It is shown that if data from a material characterisation test is used to predict the failure of a component and the stressed surface areas are very different, then this can lead to major discrepancies in the predicted failure stress. It is also shown that if the three-parameter model is a true representation of the material behaviour, then the Weibull modulus for the two-parameter approximation will vary with surface area. © 2001 Elsevier Science Ltd. All rights reserved.

KW - Brittle materials

KW - Ceramics

KW - Weibull theory

U2 - 10.1016/S0013-7944(01)00022-4

DO - 10.1016/S0013-7944(01)00022-4

M3 - Article

VL - 68

SP - 1171

EP - 1179

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 10

ER -

A numerical study on the application of the Weibull theory to brittle materials

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Keywords

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