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EFFECT OF ELASTIC MISMATCH ON THE GROWTH OF A CRACK INITIALLY TERMINATED AT AN INTERFACE IN ELASTIC PLASTIC BIMATERIALS

Delfin, Patrik ; Gunnars, Jens and Ståhle, Per LU (1995) In Fatigue and Fracture of Engineering Materials and Structures 18(10). p.1201-1212
Abstract
A crack perpendicular to, and initially with the tip on, a bimaterial interface is studied. An asymptotic analysis is performed and crack growth proceeds straight ahead at constant remote load. Mode I conditions and plane strain are assumed. The materials on both sides of the interface are elastic perfectly‐plastic with different elastic properties and the same yield stress. A finite element analysis is made and crack growth is simulated by an element relaxation technique. Because of the interface, the crack‐tip driving force is not constant, which is reflected in the near‐tip state. The development of the plastic zone and the crack opening displacements is presented for different elastic mismatches. Small scale yielding like results are... (More)
A crack perpendicular to, and initially with the tip on, a bimaterial interface is studied. An asymptotic analysis is performed and crack growth proceeds straight ahead at constant remote load. Mode I conditions and plane strain are assumed. The materials on both sides of the interface are elastic perfectly‐plastic with different elastic properties and the same yield stress. A finite element analysis is made and crack growth is simulated by an element relaxation technique. Because of the interface, the crack‐tip driving force is not constant, which is reflected in the near‐tip state. The development of the plastic zone and the crack opening displacements is presented for different elastic mismatches. Small scale yielding like results are obtained after a crack extension of about the plastic zone size from the interface, i.e. long before a square‐root singular stress field may be expected to embed the plastic zone. An important observation is that the development of the crack opening displacement at the initial stage of growth is reversed when plasticity is introduced, as compared to the prediction by an elastic model. A region of stable crack growth is identified at the initial phase of growth into a stiffer material, solely due to elastic mismatch. (Less)
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author
; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Fatigue and Fracture of Engineering Materials and Structures
volume
18
issue
10
pages
12 pages
publisher
Wiley-Blackwell
external identifiers
  • scopus:0029389648
ISSN
1460-2695
DOI
10.1111/j.1460-2695.1995.tb00848.x
language
English
LU publication?
no
id
0135ee00-fe53-43af-8c4b-691e28017096
date added to LUP
2019-06-26 01:02:03
date last changed
2021-01-03 08:22:15
@article{0135ee00-fe53-43af-8c4b-691e28017096,
  abstract     = {{A crack perpendicular to, and initially with the tip on, a bimaterial interface is studied. An asymptotic analysis is performed and crack growth proceeds straight ahead at constant remote load. Mode I conditions and plane strain are assumed. The materials on both sides of the interface are elastic perfectly‐plastic with different elastic properties and the same yield stress. A finite element analysis is made and crack growth is simulated by an element relaxation technique. Because of the interface, the crack‐tip driving force is not constant, which is reflected in the near‐tip state. The development of the plastic zone and the crack opening displacements is presented for different elastic mismatches. Small scale yielding like results are obtained after a crack extension of about the plastic zone size from the interface, i.e. long before a square‐root singular stress field may be expected to embed the plastic zone. An important observation is that the development of the crack opening displacement at the initial stage of growth is reversed when plasticity is introduced, as compared to the prediction by an elastic model. A region of stable crack growth is identified at the initial phase of growth into a stiffer material, solely due to elastic mismatch.}},
  author       = {{Delfin, Patrik and Gunnars, Jens and Ståhle, Per}},
  issn         = {{1460-2695}},
  language     = {{eng}},
  number       = {{10}},
  pages        = {{1201--1212}},
  publisher    = {{Wiley-Blackwell}},
  series       = {{Fatigue and Fracture of Engineering Materials and Structures}},
  title        = {{EFFECT OF ELASTIC MISMATCH ON THE GROWTH OF A CRACK INITIALLY TERMINATED AT AN INTERFACE IN ELASTIC PLASTIC BIMATERIALS}},
  url          = {{http://dx.doi.org/10.1111/j.1460-2695.1995.tb00848.x}},
  doi          = {{10.1111/j.1460-2695.1995.tb00848.x}},
  volume       = {{18}},
  year         = {{1995}},
}