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AMPLE : A Material Point Learning Environment.

Coombs, W.M. and Augarde, C.E. (2020) 'AMPLE : A Material Point Learning Environment.', Advances in engineering software., 139 . p. 102748.


The Material Point Method is a computational tool ideally suited to modelling solid mechanics problems involving large deformations where conventional mesh-based methods struggle. Explicit and implicit formulations are available, but for both the learning curve for understanding the method and arriving at a useful implementation is severe. Researchers must understand and implement finite element analysis, non-linear material behaviour, finite deformation mechanics and non-linear solution methods before they can even verify their formulations. This issue represents a significant barrier for post-doctoral researchers, graduate students and undergraduate students to start working with (and understanding) the method. This paper presents A Material Point Learning Environment (AMPLE) based around implicit variants of the method, with the aim of softening this steep learning curve via MATLAB-based, accessible and compact scripts. The code is freely available from

Item Type:Article
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Publisher statement:© 2019 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (
Date accepted:22 October 2019
Date deposited:23 October 2019
Date of first online publication:01 November 2019
Date first made open access:04 November 2019

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