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Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions

Helsing, Johan LU and Ojala, Rikard LU (2009) In International Journal of Solids and Structures 46(25-26). p.4437-4450
Abstract
We present a fast algorithm for the calculation of elastostatic fields

in two-dimensional assemblies of elastic grains, separated by sharp

grain boundaries. The algorithm uses an integral equation approach,

combined with the fast multipole method and recursive compression to

resolve stress concentrations also very close to grain boundary

junctions. Singular basis functions on analytic form are not

required. Accurate results can be obtained at a cost roughly

proportional to the number of grains in the assembly. Large-scale

problems, with thousands of grains, are solved using modest

computational resources.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Granular media, Corner singularities, Large-scale computations, Fast multipole method, Elasticity, Multi-wedge points, Integral equation
in
International Journal of Solids and Structures
volume
46
issue
25-26
pages
4437 - 4450
publisher
Elsevier
external identifiers
  • wos:000272107200016
  • scopus:70350102869
ISSN
0020-7683
DOI
10.1016/j.ijsolstr.2009.09.008
language
English
LU publication?
yes
id
11fba4e2-890b-4d7b-934f-eb2f554a30db (old id 1472031)
alternative location
http://www.maths.lth.se/na/staff/helsing/IJSS09.pdf
date added to LUP
2009-10-23 14:51:40
date last changed
2017-03-15 09:39:37
@article{11fba4e2-890b-4d7b-934f-eb2f554a30db,
  abstract     = {We present a fast algorithm for the calculation of elastostatic fields<br/><br>
in two-dimensional assemblies of elastic grains, separated by sharp<br/><br>
grain boundaries. The algorithm uses an integral equation approach,<br/><br>
combined with the fast multipole method and recursive compression to<br/><br>
resolve stress concentrations also very close to grain boundary<br/><br>
junctions. Singular basis functions on analytic form are not<br/><br>
required. Accurate results can be obtained at a cost roughly<br/><br>
proportional to the number of grains in the assembly. Large-scale<br/><br>
problems, with thousands of grains, are solved using modest<br/><br>
computational resources.},
  author       = {Helsing, Johan and Ojala, Rikard},
  issn         = {0020-7683},
  keyword      = {Granular media,Corner singularities,Large-scale computations,Fast multipole method,Elasticity,Multi-wedge points,Integral equation},
  language     = {eng},
  number       = {25-26},
  pages        = {4437--4450},
  publisher    = {Elsevier},
  series       = {International Journal of Solids and Structures},
  title        = {Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions},
  url          = {http://dx.doi.org/10.1016/j.ijsolstr.2009.09.008},
  volume       = {46},
  year         = {2009},
}