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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

3 April 2023, 13:04:23

Date Modified

4 April 2023, 09:04:33

Audit Status

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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