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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
and
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
Society for Industrial and Applied Mathematics
external identifiers
  • scopus:0345504862
ISSN
0036-1399
DOI
10.1137/S0036139998332938
language
English
LU publication?
no
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
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
2016-04-01 16:27:52
date last changed
2022-02-05 08:26:45
@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}},
  keywords     = {{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    = {{Society for Industrial and Applied Mathematics}},
  series       = {{SIAM Journal on Applied Mathematics}},
  title        = {{Integral equation methods and numerical solutions of crack and inclusion problems in planar elastostatics}},
  url          = {{https://lup.lub.lu.se/search/files/4680708/4580992.pdf}},
  doi          = {{10.1137/S0036139998332938}},
  volume       = {{59}},
  year         = {{1999}},
}