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Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics

Helsing, Johan LU and Peters, Gunnar (1999) In SIAM Journal on Applied Mathematics 59(3). p.965-982
Abstract
We present algorithms for crack and inclusion problems in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more complex than have previously been possible. Our results are orders of magnitudes more accurate than those of previous investigators, which rely on integral equations of Fredholm's first kind.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
effective elastic properties, integral equation of Fredholm type, linear elasticity, cracks, composite material, stress intensity factors, numerical methods
in
SIAM Journal on Applied Mathematics
volume
59
issue
3
pages
965 - 982
publisher
SIAM Publications
ISSN
0036-1399
DOI
10.1137/S0036139998332938
language
English
LU publication?
yes
id
c3c584d9-9fa6-416f-9c26-c8c511e8a3e8 (old id 4580991)
alternative location
http://www.maths.lth.se/na/staff/helsing/SIAP99.pdf
date added to LUP
2014-08-18 14:14:02
date last changed
2017-03-15 09:39:38
@article{c3c584d9-9fa6-416f-9c26-c8c511e8a3e8,
  abstract     = {We present algorithms for crack and inclusion problems in planar linear elastostatics. The algorithms are based on new integral equations. For the pure crack problem the integral equations are of Fredholm's second kind. Our algorithms show great stability and allow for solutions to problems more complex than have previously been possible. Our results are orders of magnitudes more accurate than those of previous investigators, which rely on integral equations of Fredholm's first kind.},
  author       = {Helsing, Johan and Peters, Gunnar},
  issn         = {0036-1399},
  keyword      = {effective elastic properties,integral equation of Fredholm type,linear elasticity,cracks,composite material,stress intensity factors,numerical methods},
  language     = {eng},
  number       = {3},
  pages        = {965--982},
  publisher    = {SIAM Publications},
  series       = {SIAM Journal on Applied Mathematics},
  title        = {Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics},
  url          = {http://dx.doi.org/10.1137/S0036139998332938},
  volume       = {59},
  year         = {1999},
}