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An implicit high-order material point method

Ghaffari Motlagh, Y.; Coombs, W.M.

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Authors

Y. Ghaffari Motlagh



Contributors

A. Rohe
Editor

K. Soga
Editor

H. Teunissen
Editor

B. Z. Coelho
Editor

Abstract

The material point method (MPM) is a version of the particle-in-cell (PIC) which has substantial advantages over pure Lagrangian or Eulerian methods in numerical simulations of problems involving large deformations. The MPM helps to avoid mesh distortion and tangling problems related to Lagrangian methods and as well as the advection errors associated with Eulerian methods. Despite the MPM being promoted for its ability to solve large deformation problems the method suffers from instabilities when material points cross between elements. These instabilities are due to the lack of smoothness of the grid basis functions used for mapping information between the material points and the background grid. In this paper a novel high-order MPM is developed to eliminate the cell-crossing instability and improve the accuracy of the MPM method.

Citation

Ghaffari Motlagh, Y., & Coombs, W. (2017). An implicit high-order material point method. Procedia engineering, 175, 8-13. https://doi.org/10.1016/j.proeng.2017.01.003

Journal Article Type Conference Paper
Conference Name 1st International Conference on the Material Point Method (MPM 2017)
Conference Location Delft, Netherlands
Acceptance Date Dec 5, 2016
Online Publication Date Feb 27, 2017
Publication Date Feb 27, 2017
Deposit Date Jan 17, 2017
Publicly Available Date Jan 17, 2017
Journal Procedia Engineering
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 175
Pages 8-13
DOI https://doi.org/10.1016/j.proeng.2017.01.003
Public URL https://durham-repository.worktribe.com/output/1147691

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