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

Restorative Sciences

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

100 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1171-1179
Number of pages	9
Journal	Engineering Fracture Mechanics
Volume	68
Issue number	10
DOIs	https://doi.org/10.1016/S0013-7944(01)00022-4
State	Published - Jun 15 2001

Bibliographical note

Funding Information:
One of the authors (BCM) would like to thank HM Nuclear Installations Inspectorate and EPSRC for financial support.

Keywords

Brittle materials
Ceramics
Weibull theory

Access

10.1016/S0013-7944(01)00022-4

OpenUrl availability

Full text

Cite this

@article{d69801460d764b1a8768d2cae73a663b,

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.",

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

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

note = "Funding Information: One of the authors (BCM) would like to thank HM Nuclear Installations Inspectorate and EPSRC for financial support.",

year = "2001",

month = jun,

day = "15",

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

language = "English (US)",

volume = "68",

pages = "1171--1179",

journal = "Engineering Fracture Mechanics",

issn = "0013-7944",

publisher = "Elsevier BV",

number = "10",

}

TY - JOUR

T1 - A numerical study on the application of the Weibull theory to brittle materials

AU - Fok, S. L.

AU - Mitchell, B. C.

AU - Smart, J.

AU - Marsden, B. J.

N1 - Funding Information: One of the authors (BCM) would like to thank HM Nuclear Installations Inspectorate and EPSRC for financial support.

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.

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.

KW - Brittle materials

KW - Ceramics

KW - Weibull theory

UR - http://www.scopus.com/inward/record.url?scp=0035876092&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035876092&partnerID=8YFLogxK

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

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

M3 - Article

AN - SCOPUS:0035876092

SN - 0013-7944

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

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this