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On the Implementation of a Material Point-Based Arc-Length Method [dataset] Open Access

The Material Point Method is a versatile technique which can be used to solve various types of solid mechanics problems, especially those involving large deformations. However, the capability of the Material Point Method to track a load-displacement response can deteriorate once a limit point, such as snap-through or snap-back, in the response is encountered. One way of overcoming this is to use path following techniques, such as an arc-length method. This technique is well established in finite element analysis but not within any Material Point Method formulation. This paper provides for the first time an arc-length controlled implicit, quasi-static Material Point Method. The modifications to the standard arc-length scheme to allow for the stable execution of an arc-length solver within the Material Point Method are detailed. The capability of the Material Point-based arc-length method is demonstrated through a number of problems, which include linear elastic, non-linear elastic, linear elastic-perfectly plastic and linear elastic-plastic softening material behaviour under large deformations. The techniques presented in this paper are essential for arc-length techniques to be applied effectively to the Material Point Method and the combination of these techniques makes the method suitable for new problems that cannot be solved with existing implicit Material Point approaches.

Descriptions

Resource type

Dataset

Contributors

Contact person: Coombs, William M. ¹
Creator: Gavin, Nathan ¹

¹ Durham University, UK

Funder

Engineering and Physical Sciences Research Council

Research methods

Material Point Method

Other description

Figure data for the paper "On the Implementation of a Material Point-Based Arc-Length Method"

Keyword

Subject

Material point method

Location

Language

Cited in

Identifier

ark:/32150/r2g158bh325
doi:10.15128/r2g158bh325

Rights

Creative Commons Attribution 4.0 International (CC BY)

Publisher

Durham University

Date Created

File Details

Depositor

W.M. Coombs

Date Uploaded

15 January 2024, 13:01:07

Date Modified

16 January 2024, 16:01:35

Audit Status

Audits have not yet been run on this file.

Characterization

File format: zip (ZIP Format)

Mime type: application/zip

File size: 13954936

Last modified: 2024:01:15 13:13:28+00:00

Filename: MPBALM_data.zip

Original checksum: 1baea64e212ea21e49e8f3cacaaa3008