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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
Date Modified
16 January 2024, 16:01:35
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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
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