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

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Author

Summary, in English

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.

Department/s

Publishing year

2009

Language

English

Pages

4437-4450

Publication/Series

International Journal of Solids and Structures

Volume

46

Issue

25-26

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • Granular media
  • Corner singularities
  • Large-scale computations
  • Fast multipole method
  • Elasticity
  • Multi-wedge points
  • Integral equation

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 0020-7683