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.
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.
| Original language | English |
|---|---|
| Pages (from-to) | 4437-4450 |
| Journal | International Journal of Solids and Structures |
| Volume | 46 |
| Issue number | 25-26 |
| DOIs | |
| Publication status | Published - 2009 |
Bibliographical note
The information about affiliations in this record was updated in December 2015.The record was previously connected to the following departments: Numerical Analysis (011015004)
Subject classification (UKÄ)
- Mathematics
Free keywords
- Granular media
- Corner singularities
- Large-scale computations
- Fast multipole method
- Elasticity
- Multi-wedge points
- Integral equation