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On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites

Helsing, Johan LU and Greengard, Leslie (1998) In Journal of the Mechanics and Physics of Solids 46(8). p.1441-1462
Abstract
We present a fast algorithm for the calculation of elastostatic fields in locally isotropic composites. The method uses an integral equation approach due to Sherman, combined with the fast multipole method and an adaptive quadrature technique. Accurate solutions can be obtained with inclusions of arbitrary shape at a cost roughly proportional to the number of points needed to resolve the interface. Large-scale problems, with hundreds of thousands of interface points can be solved using modest computational resources.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
elasticity, inclusion, void, inhomogeneous material, boundary integral equation
in
Journal of the Mechanics and Physics of Solids
volume
46
issue
8
pages
1441 - 1462
publisher
Elsevier
external identifiers
  • scopus:0032136801
ISSN
1873-4782
DOI
10.1016/S0022-5096(97)00041-0
language
English
LU publication?
yes
id
900cbe9f-94f3-48ba-baf7-492a41878a3c (old id 4697010)
alternative location
http://www.maths.lth.se/na/staff/helsing/JMPS98.pdf
date added to LUP
2014-10-24 11:30:02
date last changed
2017-03-15 09:39:36
@article{900cbe9f-94f3-48ba-baf7-492a41878a3c,
  abstract     = {We present a fast algorithm for the calculation of elastostatic fields in locally isotropic composites. The method uses an integral equation approach due to Sherman, combined with the fast multipole method and an adaptive quadrature technique. Accurate solutions can be obtained with inclusions of arbitrary shape at a cost roughly proportional to the number of points needed to resolve the interface. Large-scale problems, with hundreds of thousands of interface points can be solved using modest computational resources.},
  author       = {Helsing, Johan and Greengard, Leslie},
  issn         = {1873-4782},
  keyword      = {elasticity,inclusion,void,inhomogeneous material,boundary integral equation},
  language     = {eng},
  number       = {8},
  pages        = {1441--1462},
  publisher    = {Elsevier},
  series       = {Journal of the Mechanics and Physics of Solids},
  title        = {On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites},
  url          = {http://dx.doi.org/10.1016/S0022-5096(97)00041-0},
  volume       = {46},
  year         = {1998},
}