| Title | Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions |
| Authors | Johan Helsing, Rikard Ojala |
| Alternative Location | http://www.maths.lth.se/na/... |
| Alternative Location | http://dx.doi.org/10.1016/j..., Restricted Access |
| Publication | International Journal of Solids and Structures |
| Year | 2009 |
| Volume | 46 |
| Issue | 25-26 |
| Pages | 4437 - 4450 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Pergamon |
| Abstract English | We present a fast algorithm for the calculation of elastostatic fields<br> in two-dimensional assemblies of elastic grains, separated by sharp<br> grain boundaries. The algorithm uses an integral equation approach,<br> combined with the fast multipole method and recursive compression to<br> resolve stress concentrations also very close to grain boundary<br> junctions. Singular basis functions on analytic form are not<br> required. Accurate results can be obtained at a cost roughly<br> proportional to the number of grains in the assembly. Large-scale<br> problems, with thousands of grains, are solved using modest<br> computational resources. |
| Keywords | Granular media, Corner singularities, Large-scale computations, Fast multipole method, Elasticity, Multi-wedge points, Integral equation, |
| ISBN/ISSN/Other | ISSN: ISSN: 0020-7683 |
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