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On dissolution driven crack growth

Ståhle, Per LU ; Bjerkén, Christina and Jivkov, Andrey P. (2007) In International Journal of Solids and Structures 44(6). p.1880-1890
Abstract
The formation and growth of a crack in a body subjected to stress driven material dissolution is studied. The rate of material dissolution is proportional to strain energy and curvature of the body surface. The formation of a crack from a plane surface is preceded by an evolving surface roughness. The continued dissolution enhances roughness amplitude resulting in pit formation. As the pit grows deeper into the material, it assumes the shape of a crack. The sharpness of the crack reaches its maximum during this transition from a pit to a crack. As the crack grows, a self-similar state is gradually assumed. During this phase characteristic lengths of the crack shape scale with the crack length. In line with this the crack progressively... (More)
The formation and growth of a crack in a body subjected to stress driven material dissolution is studied. The rate of material dissolution is proportional to strain energy and curvature of the body surface. The formation of a crack from a plane surface is preceded by an evolving surface roughness. The continued dissolution enhances roughness amplitude resulting in pit formation. As the pit grows deeper into the material, it assumes the shape of a crack. The sharpness of the crack reaches its maximum during this transition from a pit to a crack. As the crack grows, a self-similar state is gradually assumed. During this phase characteristic lengths of the crack shape scale with the crack length. In line with this the crack progressively becomes blunt. The widest part of the crack when unloaded is in the vicinity of the crack tip. A consequence of the model is that no criterion is needed for crack growth. Neither is a criterion needed for determination of the crack path. It also follows that the crack growth rate is almost independent of the remote load. Further, spontaneous crack branching is anticipated. A motivation for this is given. (c) 2006 Elsevier Ltd. All rights reserved. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
stress corrosion, branching, crack initiation, crack growth
in
International Journal of Solids and Structures
volume
44
issue
6
pages
1880 - 1890
publisher
Elsevier
external identifiers
  • wos:000244576400014
  • scopus:33846533610
ISSN
0020-7683
DOI
10.1016/j.ijsolstr.2006.09.011
language
English
LU publication?
yes
id
61e7fa99-f486-4b97-a4f7-287eaa342bba (old id 672662)
date added to LUP
2008-01-03 08:47:09
date last changed
2017-09-03 04:37:56
@article{61e7fa99-f486-4b97-a4f7-287eaa342bba,
  abstract     = {The formation and growth of a crack in a body subjected to stress driven material dissolution is studied. The rate of material dissolution is proportional to strain energy and curvature of the body surface. The formation of a crack from a plane surface is preceded by an evolving surface roughness. The continued dissolution enhances roughness amplitude resulting in pit formation. As the pit grows deeper into the material, it assumes the shape of a crack. The sharpness of the crack reaches its maximum during this transition from a pit to a crack. As the crack grows, a self-similar state is gradually assumed. During this phase characteristic lengths of the crack shape scale with the crack length. In line with this the crack progressively becomes blunt. The widest part of the crack when unloaded is in the vicinity of the crack tip. A consequence of the model is that no criterion is needed for crack growth. Neither is a criterion needed for determination of the crack path. It also follows that the crack growth rate is almost independent of the remote load. Further, spontaneous crack branching is anticipated. A motivation for this is given. (c) 2006 Elsevier Ltd. All rights reserved.},
  author       = {Ståhle, Per and Bjerkén, Christina and Jivkov, Andrey P.},
  issn         = {0020-7683},
  keyword      = {stress corrosion,branching,crack initiation,crack growth},
  language     = {eng},
  number       = {6},
  pages        = {1880--1890},
  publisher    = {Elsevier},
  series       = {International Journal of Solids and Structures},
  title        = {On dissolution driven crack growth},
  url          = {http://dx.doi.org/10.1016/j.ijsolstr.2006.09.011},
  volume       = {44},
  year         = {2007},
}