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Implicit essential boundaries in the Material Point Method

Cortis, M.; Coombs, W.M.; Augarde, C.E.

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Authors

M. Cortis



Abstract

The Material Point Method (MPM) is a numerical boundary value problem (BVP) solver developed from particle- in-cell (PIC) methods that discretises the continuum into a set of material points. Information at these material points is mapped to a background Eulerian grid which is used to solve the governing equations. Once solved information is updated at the material points and these points are convected through the grid. The background grid is then reset, allowing the method to easily handle problems involving large deformations without mesh distortion. However, imposition of essential boundary conditions in the (MPM) is challenging when the physical domain does not conform to the background grid. In this research, an implicit boundary method (IBM), based on the work of Kumar et al. [1], is proposed to ensure that essential boundary conditions are satisfied in elastostatic MPM problems.

Citation

Cortis, M., Coombs, W., & Augarde, C. (2016). Implicit essential boundaries in the Material Point Method. In Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff (116-119)

Conference Name 24th UK Conference of the Association for Computational Mechanics in Engineering.
Conference Location Cardiff, UK
Start Date Mar 31, 2023
End Date Apr 1, 2016
Acceptance Date Mar 2, 2016
Publication Date Apr 1, 2016
Deposit Date Apr 4, 2016
Publicly Available Date Apr 5, 2016
Publisher Cardiff University
Pages 116-119
Book Title Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff.
Publisher URL http://acme2016.sciencesconf.org/84339
Additional Information Conference date: 31 March - 1 April 2016

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