Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions
Författare
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.
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.
Avdelning/ar
- Matematik LTH
- Harmonic Analysis and Applications
Publiceringsår
2009
Språk
Engelska
Sidor
4437-4450
Publikation/Tidskrift/Serie
International Journal of Solids and Structures
Volym
46
Issue
25-26
Fulltext
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Elsevier
Ämne
- Mathematics
Nyckelord
- Granular media
- Corner singularities
- Large-scale computations
- Fast multipole method
- Elasticity
- Multi-wedge points
- Integral equation
Status
Published
Forskningsgrupp
- Harmonic Analysis and Applications
- Harmonic Analysis and Applications
ISBN/ISSN/Övrigt
- ISSN: 0020-7683