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Weibull triaxiality : A novel constraint assessment parameter for cleavage fracture in ductile to brittle transition region

Tiwari, A. ; Singh, R. N. and Ståhle, P. LU (2018) In Fatigue and Fracture of Engineering Materials and Structures 41(6). p.1389-1401
Abstract

The cleavage fracture probability of ferritic and ferritic/martensitic steels is generally computed using Beremin's model. In this work, a novel approach is developed for Beremin's model to be applicable to crack tip conditions under nonself similar stress field. The modification of Beremin's model corrects the inaccurate integration of local cleavage fracture probabilities of reference volume elements due to the incorrect assumption of self similar stress field under large-scale yielding. Under small-scale yielding condition, where stresses remain self similar, integration of local cleavage failure probability is accurate. However, when the stresses differ along the thickness due to constraint loss, the integration of local cleavage... (More)

The cleavage fracture probability of ferritic and ferritic/martensitic steels is generally computed using Beremin's model. In this work, a novel approach is developed for Beremin's model to be applicable to crack tip conditions under nonself similar stress field. The modification of Beremin's model corrects the inaccurate integration of local cleavage fracture probabilities of reference volume elements due to the incorrect assumption of self similar stress field under large-scale yielding. Under small-scale yielding condition, where stresses remain self similar, integration of local cleavage failure probability is accurate. However, when the stresses differ along the thickness due to constraint loss, the integration of local cleavage fracture probability is inaccurate due to the fact that the stress levels are not same in all the reference volume elements. The modification developed in this work in the form of a parameter named Weibull Triaxiality, which measures the deviation of a crack tip volume from one under self similar stress field.

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type
Contribution to journal
publication status
published
subject
keywords
Cleavage fracture, Constraint loss, Weibull stress, Weibull triaxiality
in
Fatigue and Fracture of Engineering Materials and Structures
volume
41
issue
6
pages
1389 - 1401
publisher
Wiley-Blackwell
external identifiers
  • scopus:85041237123
ISSN
8756-758X
DOI
10.1111/ffe.12784
language
English
LU publication?
yes
id
6ffd9377-4f67-482b-9029-a84e9813e4b0
date added to LUP
2018-02-12 12:58:07
date last changed
2022-03-25 00:07:17
@article{6ffd9377-4f67-482b-9029-a84e9813e4b0,
  abstract     = {{<p>The cleavage fracture probability of ferritic and ferritic/martensitic steels is generally computed using Beremin's model. In this work, a novel approach is developed for Beremin's model to be applicable to crack tip conditions under nonself similar stress field. The modification of Beremin's model corrects the inaccurate integration of local cleavage fracture probabilities of reference volume elements due to the incorrect assumption of self similar stress field under large-scale yielding. Under small-scale yielding condition, where stresses remain self similar, integration of local cleavage failure probability is accurate. However, when the stresses differ along the thickness due to constraint loss, the integration of local cleavage fracture probability is inaccurate due to the fact that the stress levels are not same in all the reference volume elements. The modification developed in this work in the form of a parameter named Weibull Triaxiality, which measures the deviation of a crack tip volume from one under self similar stress field.</p>}},
  author       = {{Tiwari, A. and Singh, R. N. and Ståhle, P.}},
  issn         = {{8756-758X}},
  keywords     = {{Cleavage fracture; Constraint loss; Weibull stress; Weibull triaxiality}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{1389--1401}},
  publisher    = {{Wiley-Blackwell}},
  series       = {{Fatigue and Fracture of Engineering Materials and Structures}},
  title        = {{Weibull triaxiality : A novel constraint assessment parameter for cleavage fracture in ductile to brittle transition region}},
  url          = {{http://dx.doi.org/10.1111/ffe.12784}},
  doi          = {{10.1111/ffe.12784}},
  volume       = {{41}},
  year         = {{2018}},
}