A Mode-III Crack Subjected to High-Strain Rates
(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:
https://lup.lub.lu.se/record/899f1ec0-3a66-4227-ae9e-7a6f039f9cfb
- author
- Ståhle, P. LU
- publishing date
- 1992
- 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}}, }