Abstract
The paper shows a moving least squares reconstruction technique applied to the B-spline Material Point Method (B-spline MPM). It has been shown previously that B-spline MPM can reduce grid-crossing errors inherent in the original Material Point Method. However, in the large deformation regime where the gridcrossing occurs more frequently, the convergence rate of B-spline MPMis lower. In this paper, moving least squares reconstruction is employed to retrieve the expected convergence rate. The proposed improvement is examined in terms of the spatial convergence using the methods of manufactured solutions for large deformations.
| Original language | English |
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| Title of host publication | Proceedings of the Second International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction |
| Subtitle of host publication | 8 – 10 January 2019, University of Cambridge, United Kingdom |
| Pages | 35-41 |
| Number of pages | 7 |
| Publication status | Published - 2019 |
| Event | MPM 2019: 2nd International Conference on the Material Point Method for Modelling Soil–Water–Structure Interaction - Cambridge, United Kingdom Duration: 8 Jan 2019 → 10 Jan 2019 Conference number: 2 http://mpm2019.eu/home |
Conference
| Conference | MPM 2019: 2nd International Conference on the Material Point Method for Modelling Soil–Water–Structure Interaction |
|---|---|
| Abbreviated title | MPM 2019 |
| Country/Territory | United Kingdom |
| City | Cambridge |
| Period | 8/01/19 → 10/01/19 |
| Internet address |
Bibliographical note
greenKeywords
- moving least squares
- function reconstruction
- B-spline basis function
- Material Point Method