Abstract
The Material Point Method (MPM) is an emerging numerical method that provides a natural solution to dynamic problems involving large deformation and contact/impact. However, the method can be prohibitively time consuming because extremely small time steps often have to be used to obtain a reliable solution. The paper presents an adaptive time stepping algorithm with error control for the material point method. The proposed approach is based on an error estimate derived from the global energy. This error estimate is then used to control the time step size. The proposed algorithm is validated for a 1D dynamic problem involving impact of two elastic bars. The proposed time stepping algorithm seems to be able to recover the correct solution with arbitrary step sizes specified by the user. As such, it is hoped that the proposed algorithm may offer a way to overcome some of the shortcomings of the MPM. A conceptually similar algorithm may be used for 2D & 3D problems with more advanced boundary conditions and material models.
| Original language | English |
|---|---|
| Title of host publication | Numerical Methods in Geotechnical Engineering - Proceedings of the 7th European Conference on Numerical Methods in Geotechnical Engineering |
| Pages | 157-162 |
| Number of pages | 6 |
| Publication status | Published - 2010 |
| MoE publication type | A4 Conference publication |
| Event | European Conference on Numerical Methods in Geotechnical Engineering - Trondheim, Norway Duration: 2 Jun 2010 → 4 Jun 2010 Conference number: 7 |
Conference
| Conference | European Conference on Numerical Methods in Geotechnical Engineering |
|---|---|
| Abbreviated title | NUMGE |
| Country/Territory | Norway |
| City | Trondheim |
| Period | 02/06/2010 → 04/06/2010 |