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A Mode-III Crack Subjected to High-Strain Rates

Ståhle, P. LU (1992) In Journal of the Mechanics and Physics of Solids 40(3). p.663-681
Abstract
THE DISPLACEMENT rate is given for a mode III crack growing in a steady state under dynamic conditions. The material is assumed to be visco-plastic and high strain rates are considered. A regular perturbation expansion is performed. First-order perturbing strains are, with one exception. square root singular near the crack-tip. For overstress exponents less. or equal to 2, a reasonably large region around the crack tip. i.e. > IO-’ of the linear extent of the plastic zone, is dominated by the square root singular strain field. For an overstress exponent of 5/2 the region extends to about IO-’ of the plastic zone size. which significantly reduces the possibilities of using the strength or the square root singular field as a fracture... (More)
THE DISPLACEMENT rate is given for a mode III crack growing in a steady state under dynamic conditions. The material is assumed to be visco-plastic and high strain rates are considered. A regular perturbation expansion is performed. First-order perturbing strains are, with one exception. square root singular near the crack-tip. For overstress exponents less. or equal to 2, a reasonably large region around the crack tip. i.e. > IO-’ of the linear extent of the plastic zone, is dominated by the square root singular strain field. For an overstress exponent of 5/2 the region extends to about IO-’ of the plastic zone size. which significantly reduces the possibilities of using the strength or the square root singular field as a fracture parameter. For the overstress exponent 3 the region vanishes. (Less)
Abstract (Swedish)
THE DISPLACEMENT rate is given for a mode III crack growing in a steady state under dynamic conditions. The material is assumed to be visco-plastic and high strain rates are considered. A regular perturbation expansion is performed. First-order perturbing strains are, with one exception, square root singular near the crack-tip. For overstress exponents less, or equal to 2, a reasonably large region around the crack tip, i.e. > 10(-3) of the linear extent of the plastic zone, is dominated by the square root singular strain field. For an overstress exponent of 5/2 the region extends to about 10(-5) of the plastic zone size, which significantly reduces the possibilities of using the strength of the square root singular field as a fracture... (More)
THE DISPLACEMENT rate is given for a mode III crack growing in a steady state under dynamic conditions. The material is assumed to be visco-plastic and high strain rates are considered. A regular perturbation expansion is performed. First-order perturbing strains are, with one exception, square root singular near the crack-tip. For overstress exponents less, or equal to 2, a reasonably large region around the crack tip, i.e. > 10(-3) of the linear extent of the plastic zone, is dominated by the square root singular strain field. For an overstress exponent of 5/2 the region extends to about 10(-5) of the plastic zone size, which significantly reduces the possibilities of using the strength of the square root singular field as a fracture parameter. For the overstress exponent 3 the region vanishes. (Less)
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the Mechanics and Physics of Solids
volume
40
issue
3
pages
19 pages
publisher
Elsevier
external identifiers
  • scopus:44049123065
ISSN
0022-5096
DOI
10.1016/0022-5096(92)80008-E
language
English
LU publication?
no
id
899f1ec0-3a66-4227-ae9e-7a6f039f9cfb
date added to LUP
2019-06-26 10:41:09
date last changed
2021-01-03 09:31:13
@article{899f1ec0-3a66-4227-ae9e-7a6f039f9cfb,
  abstract     = {{THE DISPLACEMENT  rate is given for a mode III crack growing in a steady  state under dynamic conditions. The material is assumed to be visco-plastic and high strain rates are considered. A regular perturbation expansion is performed. First-order perturbing strains are, with one exception. square root singular near the crack-tip. For overstress exponents less. or equal to 2, a reasonably  large region around the crack tip. i.e. > IO-’ of the linear extent of the plastic zone, is dominated by the square root singular strain field. For an overstress exponent of 5/2 the region extends to about IO-’ of the plastic zone size. which significantly  reduces the possibilities of using the strength or the square root singular field as a fracture parameter. For the overstress exponent 3 the region vanishes.}},
  author       = {{Ståhle, P.}},
  issn         = {{0022-5096}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{663--681}},
  publisher    = {{Elsevier}},
  series       = {{Journal of the Mechanics and Physics of Solids}},
  title        = {{A Mode-III Crack Subjected to High-Strain Rates}},
  url          = {{https://lup.lub.lu.se/search/files/69291339/A_MODE_III_CRACK_SUBJECTED_TO_high_strain_rates.pdf}},
  doi          = {{10.1016/0022-5096(92)80008-E}},
  volume       = {{40}},
  year         = {{1992}},
}