A simple, scalable, and robust implicit material point method [dataset]

Duddu, Ravindra (Vanderbilt University, USA); Zhang, Wangcheng (Durham University, UK); Augarde, Charles (Durham University, UK); Giuliano Pretti (University of Toronto); Coombs, William (Durham University, UK); Sutcliffe, Sam (Durham University, UK)

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A simple, scalable, and robust implicit material point method [dataset] Open Access

An implicit Material Point Method is presented using a new dynamic relaxation solver, allowing for a simple and efficient quasi-static formulation that may be readily implemented in existing explicit-dynamic codes. The use of dynamic relaxation and aggregation is shown to produce an extremely robust Material Point Method scheme, with good convergence characteristics across a range of challenging problems. A new simple fictitious mass matrix formulation based on estimated wave-speed is derived and presented, allowing for the trivial restructuring of explicit dynamic codes to implicit to solve quasi-static problems. Finally, a range of large deformation quasi-static problems, both elastic and elasto-plastic, are used to demonstrate the convergence characteristics of the method.

Descriptions

Resource type: Dataset
Contributors: Creator: Sutcliffe, Sam ¹
Creator: Coombs, William ¹
Creator: Zhang, Wangcheng ¹
Creator: Duddu, Ravindra ²
Creator: Giuliano Pretti ³
Creator: Augarde, Charles ¹

¹ Durham University, UK
² Vanderbilt University, USA
³ University of Toronto
Funder: Durham University
Research methods
Other description: This file contains the dataset for the paper to be published in the International Journal for Numerical Methods in Engineering.
Keyword: material point method
implicit
large deformation
dynamic relaxation
Subject: Material point method
Location
Language
Cited in
Identifier: ark:/32150/r1f4752g845
doi:10.15128/r1f4752g845
Rights: Creative Commons Attribution 4.0 International (CC BY)
Publisher: Durham University
Date Created

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Depositor: S.J.V. Sutcliffe
Date Uploaded: 22 January 2026, 13:01:12
Date Modified: 24 June 2026, 12:06:23
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Characterization: File format: zip (ZIP Format)

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File size: 19551980

Last modified: 2026:06:15 13:43:13+01:00

Filename: A_simple_scalable_and_robust_implicit_material_point_method [dataset].zip

Original checksum: 1d5af20c734190c76e5f02ea895f5ae9

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