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A crack perpendicular to and terminating at a bimaterial interface

Wang, Tzuchiang and Ståhle, Per LU (1998) In Acta Mechanica Sinica 14(1). p.27-36
Abstract
Using dislocation simulation approach, the basic equation for a finite crack perpendicular to and terminating at a bimaterial interface is formulated. A novel expansion method is proposed for solving the problem. The complete solution to the problem, including the explicit formulae for the T stresses ahead of the crack tip and the stress intensity factors are presented. The stress held characteristics are analysed in detail. It is found that normal stresses sigma(x) and sigma(y) ahead of the crack tip, are characterised by Q fields if the crack is within a stiff material and the parameters \p(T)\ and \q(T)\ are very small, where Q is a generalised stress intensity factor for a crack normal to and terminating at the interface. If the crack... (More)
Using dislocation simulation approach, the basic equation for a finite crack perpendicular to and terminating at a bimaterial interface is formulated. A novel expansion method is proposed for solving the problem. The complete solution to the problem, including the explicit formulae for the T stresses ahead of the crack tip and the stress intensity factors are presented. The stress held characteristics are analysed in detail. It is found that normal stresses sigma(x) and sigma(y) ahead of the crack tip, are characterised by Q fields if the crack is within a stiff material and the parameters \p(T)\ and \q(T)\ are very small, where Q is a generalised stress intensity factor for a crack normal to and terminating at the interface. If the crack is within a weak material, the normal stresses sigma(x) and sigma(y) are dominated by the Q field plus T stress. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Acta Mechanica Sinica
volume
14
issue
1
pages
27 - 36
publisher
Springer
external identifiers
  • scopus:33748720527
ISSN
1614-3116
DOI
10.1007/BF02486828
language
English
LU publication?
yes
id
0cd5f5c0-74ae-475b-be7d-6ddd996a2c67 (old id 1445306)
date added to LUP
2014-01-13 10:23:05
date last changed
2017-01-01 07:40:46
@article{0cd5f5c0-74ae-475b-be7d-6ddd996a2c67,
  abstract     = {Using dislocation simulation approach, the basic equation for a finite crack perpendicular to and terminating at a bimaterial interface is formulated. A novel expansion method is proposed for solving the problem. The complete solution to the problem, including the explicit formulae for the T stresses ahead of the crack tip and the stress intensity factors are presented. The stress held characteristics are analysed in detail. It is found that normal stresses sigma(x) and sigma(y) ahead of the crack tip, are characterised by Q fields if the crack is within a stiff material and the parameters \p(T)\ and \q(T)\ are very small, where Q is a generalised stress intensity factor for a crack normal to and terminating at the interface. If the crack is within a weak material, the normal stresses sigma(x) and sigma(y) are dominated by the Q field plus T stress.},
  author       = {Wang, Tzuchiang and Ståhle, Per},
  issn         = {1614-3116},
  language     = {eng},
  number       = {1},
  pages        = {27--36},
  publisher    = {Springer},
  series       = {Acta Mechanica Sinica},
  title        = {A crack perpendicular to and terminating at a bimaterial interface},
  url          = {http://dx.doi.org/10.1007/BF02486828},
  volume       = {14},
  year         = {1998},
}