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A conservation law consistent updated Lagrangian material point method for dynamic analysis [dataset] Open Access

The Material Point Method (MPM) is well suited to modelling dynamic solid mechanics problems undergoing large deformations with non-linear, history dependent material behaviour. However, the vast majority of existing material point method implementations do not inherit conservation properties (momenta and energy) from their continuum formulations. This paper provides, for the first time, a dynamic updated Lagrangian material point method for elasto-plastic materials undergoing large deformation that guarantees momenta and energy conservation. Sources of energy dissipation during point-to- grid and grid-to-point mappings for FLuid Implicit Particle (FLIP) and Particle In Cell (PIC) approaches are clarified and a novel time-stepping approach is proposed based on an efficient approximation of the Courant-Friedrich-Lewy (CFL) condition. The formulation provided in this paper provides a platform for understanding the energy conservation nature of future/existing features of material point methods, such as contact approaches.

Descriptions

Resource type
Dataset
Contributors
Creator: Pretti, Giuliano 1
Contact person: Coombs, William M. 1
Editor: Coombs, William M. 1
Editor: Augarde, Charles E. 1
1 Durham University, UK
Funder
Engineering and Physical Sciences Research Council
Research methods
Material Point Method
Other description
Keyword
Material point method
Large deformation mechanics
Dynamic analysis
Energy consistency
Momenta consistency
Mapping techniques
Subject
Location
Language
Cited in
doi:10.1016/j.jcp.2023.112075
Identifier
ark:/32150/r2r494vk20f
doi:10.15128/r2r494vk20f
Rights
Creative Commons Attribution 4.0 International (CC BY)

Publisher
Durham University
Date Created
2023-04-03

File Details

Depositor
W.M. Coombs
Date Uploaded
Date Modified
4 April 2023, 09:04:33
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Characterization
File format: zip (ZIP Format)
Mime type: application/zip
File size: 12993986
Last modified: 2023:04:03 14:54:41+01:00
Filename: EC_paper_Data.zip
Original checksum: ef2828b051ef56008e863763f5fca286
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User N. Syrotiuk has updated A conservation law consistent updated Lagrangian material point method for dynamic analysis [dataset] 11 months ago
User N. Syrotiuk has updated A conservation law consistent updated Lagrangian material point method for dynamic analysis [dataset] 11 months ago