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Ghost stabilisation of the Material Point Method for stable quasi-static and dynamic analysis of large deformation problems [dataset] Open Access

The unstable nature of the material point method is widely documented and is a barrier to the method being used for routine engineering analyses of large deformation problems. The vast majority of papers concerning this issue are focused on the instabilities that manifest when a material point crosses between background grid cells. However, there are other issues related to the stability of material point methods. This paper focuses on the issue of the conditioning of the global system of equations caused by the arbitrary nature of the position of the physical domain relative to the background computational grid. The issue is remedied here via the use of a Ghost stabilisation technique that penalises variations in the gradient of the solution field near the boundaries of the physical domain. This technique transforms the stability of the material point method, providing a robust computational framework for large deformation explicit dynamic and implicit quasi-static analysis.

Descriptions

Resource type

Dataset

Contributors

Creator: Coombs, William M. ¹

¹ Durham University, UK

Funder

Engineering and Physical Sciences Research Council

Research methods

Material Point Method

Other description

Figure data for the paper "Ghost stabilisation of the Material Point Method for stable quasi-static and dynamic analysis of large deformation problems"

Keyword

material point method
finite deformation mechanics
stabilisation
explicit dynamics
implicit analysis

Subject

Location

Language

Cited in

Identifier

ark:/32150/r1x920fw91n
doi:10.15128/r1x920fw91n

Rights

Creative Commons Attribution 4.0 International (CC BY)

Publisher

Durham University

Date Created

June 2023

File Details

Depositor

W.M. Coombs

Date Uploaded

6 July 2023, 05:07:38

Date Modified

6 July 2023, 08:07:49

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Characterization

File format: zip (ZIP Format)

Mime type: application/zip

File size: 2408968

Last modified: 2023:07:06 06:57:45+01:00

Filename: FigureData.zip

Original checksum: f8dd873705b8b5b5da00724ab9d6254f