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A directional crack path criterion for crack growth in ductile materials subjected to shear and compressive loading under plane strain conditions

Isaksson, P. and Ståhle, P. LU (2003) In International Journal of Solids and Structures 40(13-14). p.3523-3536
Abstract
A directional crack growth criterion in a compressed elastic perfectly plastic material is considered. The conditions at the crack-tip are evaluated for a straight stationary crack with a small incipient kink. Remote load is a combined hydrostatic pressure and pure shear applied via a boundary layer. Crack surfaces in contact are assumed to develop homogenous Coulomb friction.

The crack opening displacement of an extended kink is examined in a finite element analysis to judge the risk of opening mode failure. It has been found that the direction that maximizes the crack opening displacement of an extended kink tip coincides very well with a prediction of the crack growth direction obtained by using a criterion for continued crack... (More)
A directional crack growth criterion in a compressed elastic perfectly plastic material is considered. The conditions at the crack-tip are evaluated for a straight stationary crack with a small incipient kink. Remote load is a combined hydrostatic pressure and pure shear applied via a boundary layer. Crack surfaces in contact are assumed to develop homogenous Coulomb friction.

The crack opening displacement of an extended kink is examined in a finite element analysis to judge the risk of opening mode failure. It has been found that the direction that maximizes the crack opening displacement of an extended kink tip coincides very well with a prediction of the crack growth direction obtained by using a criterion for continued crack growth direction discussed by the authors elsewhere [Int. J. Fract. 108 (2001) 351].

Moreover, the by the model predicted incipient crack growth directions are qualitatively comparable with reported crack paths obtained in ductile materials in a limited number of experiments performed under a combined load of in-plane shear and compression. (Less)
Abstract (Swedish)
A directional crack growth criterion in a compressed elastic perfectly plastic material is considered. The conditions at the crack-tip are evaluated for a straight stationary crack with a small incipient kink. Remote load is a combined hydrostatic pressure and pure shear applied via a boundary layer. Crack surfaces in contact are assumed to develop homogenous Coulomb friction. The crack opening displacement of an extended kink is examined in a finite element analysis to judge the risk of opening mode failure. It has been found that the direction that maximizes the crack opening displacement of an extended kink tip coincides very well with a prediction of the crack growth direction obtained by using a criterion for continued crack growth... (More)
A directional crack growth criterion in a compressed elastic perfectly plastic material is considered. The conditions at the crack-tip are evaluated for a straight stationary crack with a small incipient kink. Remote load is a combined hydrostatic pressure and pure shear applied via a boundary layer. Crack surfaces in contact are assumed to develop homogenous Coulomb friction. The crack opening displacement of an extended kink is examined in a finite element analysis to judge the risk of opening mode failure. It has been found that the direction that maximizes the crack opening displacement of an extended kink tip coincides very well with a prediction of the crack growth direction obtained by using a criterion for continued crack growth direction discussed by the authors elsewhere [Int. J. Fract. 108 (2001) 351]. Moreover, the by the model predicted incipient crack growth directions are qualitatively comparable with reported crack paths obtained in ductile materials in a limited number of experiments performed under a combined load of in-plane shear and compression. (C) 2003 Elsevier Science Ltd. All rights reserved. (Less)
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publishing date
type
Contribution to journal
publication status
published
subject
keywords
Elastic–plastic material, Crack growth, Shear load, Hydrostatic pressure
in
International Journal of Solids and Structures
volume
40
issue
13-14
pages
14 pages
publisher
Elsevier
external identifiers
  • scopus:0038320367
ISSN
0020-7683
DOI
10.1016/s0020-7683(03)00116-1
language
English
LU publication?
no
id
4a7fbdd2-cfdc-4184-b1b5-96b6a210fea6
date added to LUP
2019-06-25 19:41:53
date last changed
2022-01-31 22:39:44
@article{4a7fbdd2-cfdc-4184-b1b5-96b6a210fea6,
  abstract     = {{A directional crack growth criterion in a compressed elastic perfectly plastic material is considered. The conditions at the crack-tip are evaluated for a straight stationary crack with a small incipient kink. Remote load is a combined hydrostatic pressure and pure shear applied via a boundary layer. Crack surfaces in contact are assumed to develop homogenous Coulomb friction.<br/><br/>The crack opening displacement of an extended kink is examined in a finite element analysis to judge the risk of opening mode failure. It has been found that the direction that maximizes the crack opening displacement of an extended kink tip coincides very well with a prediction of the crack growth direction obtained by using a criterion for continued crack growth direction discussed by the authors elsewhere [Int. J. Fract. 108 (2001) 351].<br/><br/>Moreover, the by the model predicted incipient crack growth directions are qualitatively comparable with reported crack paths obtained in ductile materials in a limited number of experiments performed under a combined load of in-plane shear and compression.}},
  author       = {{Isaksson, P. and Ståhle, P.}},
  issn         = {{0020-7683}},
  keywords     = {{Elastic–plastic material; Crack growth; Shear load; Hydrostatic pressure}},
  language     = {{eng}},
  number       = {{13-14}},
  pages        = {{3523--3536}},
  publisher    = {{Elsevier}},
  series       = {{International Journal of Solids and Structures}},
  title        = {{A directional crack path criterion for crack growth in ductile materials subjected to shear and compressive loading under plane strain conditions}},
  url          = {{http://dx.doi.org/10.1016/s0020-7683(03)00116-1}},
  doi          = {{10.1016/s0020-7683(03)00116-1}},
  volume       = {{40}},
  year         = {{2003}},
}