Dynamic crack tip fields at steady growth and vanishing strain-hardening
(1993) In Journal of the Mechanics and Physics of Solids 41(5). p.919-936- Abstract
Solutions for propagating mode III cracks in elastic perfectly-plastic solids are obtained as the limit solutions for infinitesimal crack tip speed and infinitesimal linear strain-hardening. The solution for a perfectly plastic material by Chitaley and McClintock (1971, J. Mech. Phys. Solids 19, 147) is not obtained. A point above or below the crack plane will experience first a centred-fan slip line field, followed by elastic unloading and finally a plastic sector where reloading occurs at constant stress. A turning-point and a boundary layer develop immediately before elastic unloading occurs. This takes place at 32.8° in the quasi-static limit and at angles up to about 38° if inertia is considered. This should be compared with 19.7°... (More)
Solutions for propagating mode III cracks in elastic perfectly-plastic solids are obtained as the limit solutions for infinitesimal crack tip speed and infinitesimal linear strain-hardening. The solution for a perfectly plastic material by Chitaley and McClintock (1971, J. Mech. Phys. Solids 19, 147) is not obtained. A point above or below the crack plane will experience first a centred-fan slip line field, followed by elastic unloading and finally a plastic sector where reloading occurs at constant stress. A turning-point and a boundary layer develop immediately before elastic unloading occurs. This takes place at 32.8° in the quasi-static limit and at angles up to about 38° if inertia is considered. This should be compared with 19.7° for perfect plasticity. One key result is that even a very small crack tip speed affects the neartip conditions appreciably. Another noteworthy result is that stress rates change continuously through a fast wave, which in the limit will form a jump. The result is a discontinuous stress rate that may not be assumed a priori.
(Less)
- author
- Ståhle, P. LU
- publishing date
- 1993-01-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of the Mechanics and Physics of Solids
- volume
- 41
- issue
- 5
- pages
- 18 pages
- publisher
- Elsevier
- external identifiers
-
- wos:A1993KY47600005
- scopus:0027594203
- ISSN
- 0022-5096
- DOI
- 10.1016/0022-5096(93)90005-z
- language
- English
- LU publication?
- no
- additional info
- Stahle, p Stahle, Per/J-3590-2014
- id
- f309aad9-4623-41e4-b3c7-2c19c62ea083
- date added to LUP
- 2019-06-26 10:17:08
- date last changed
- 2021-01-03 08:05:59
@article{f309aad9-4623-41e4-b3c7-2c19c62ea083,
abstract = {{<p>Solutions for propagating mode III cracks in elastic perfectly-plastic solids are obtained as the limit solutions for infinitesimal crack tip speed and infinitesimal linear strain-hardening. The solution for a perfectly plastic material by Chitaley and McClintock (1971, J. Mech. Phys. Solids 19, 147) is not obtained. A point above or below the crack plane will experience first a centred-fan slip line field, followed by elastic unloading and finally a plastic sector where reloading occurs at constant stress. A turning-point and a boundary layer develop immediately before elastic unloading occurs. This takes place at 32.8° in the quasi-static limit and at angles up to about 38° if inertia is considered. This should be compared with 19.7° for perfect plasticity. One key result is that even a very small crack tip speed affects the neartip conditions appreciably. Another noteworthy result is that stress rates change continuously through a fast wave, which in the limit will form a jump. The result is a discontinuous stress rate that may not be assumed a priori.</p>}},
author = {{Ståhle, P.}},
issn = {{0022-5096}},
language = {{eng}},
month = {{01}},
number = {{5}},
pages = {{919--936}},
publisher = {{Elsevier}},
series = {{Journal of the Mechanics and Physics of Solids}},
title = {{Dynamic crack tip fields at steady growth and vanishing strain-hardening}},
url = {{http://dx.doi.org/10.1016/0022-5096(93)90005-z}},
doi = {{10.1016/0022-5096(93)90005-z}},
volume = {{41}},
year = {{1993}},
}