The following publications underpin AMPLE or have been produced using AMPLE.

Journal papers

WM Coombs, Ghost stabilisation of the Material Point Method for stable quasi-static and dynamic analysis of large deformation problems, International Journal for Numerical Methods in Engineering (2023), reprint here. Gold open access

G Pretti, WM Coombs, CE Augarde, B Sims, MM Puigvert, & JAR Gutierrez, A conservation law consistent updated Lagrangian material point method for dynamic analysis, Journal of Computational Physics 485 (2023), 112075. Gold open access

L Wang, WM Coombs, CE Augarde, M Cortis, MJ Brown, AJ Brennan, JA Knappett, C Davidson, D Richards, DJ White & AP White An efficient and locking-free material point method for three dimensional analysis with simplex elements, International Journal for Numerical Methods in Engineering, 122(15) (2023), 3876-3899. Gold open access

WM Coombs & CE Augarde, AMPLE: A Material Point Learning Environment, Advances in Engineering Software 139 (2020), 102748, preprint here. Gold open access

WM Coombs, CE Augarde, AJ Brennan, MJ Brown, TJ Charlton, JA Knappett, Y Ghaffari Motlagh & L Wang, On Lagrangian mechanics and the implicit material point method for large deformation elasto-plasticity, Computer Methods in Applied Mechanics and Engineering 358 (2020), 112622. Gold open access

L Wang , WM Coombs, CE Augarde, M Cortis, TJ Charlton, MJ Brown, JA Knappett, AJ Brennan, C Davidson, D Richards, & A Blake, On the use of domain-based material point methods for problems involving large distortion, Computer Methods in Applied Mechanics and Engineering 355 (2019) 1003-1025. Gold open access

Y Bing, M Cortis, TJ Charlton, WM Coombs & CE Augarde, B-spline based boundary conditions in the material point method, Computers & Structures 212 (2019), 257-274. Gold open access

WM Coombs, TJ Charlton, M Cortis & CE Augarde, Overcoming volumetric locking in material point methods, Computer Methods in Applied Mechanics and Engineering 333 (2018), 1-21. Gold open access

M Cortis, WM Coombs & CE Augarde, Imposition of essential boundary conditions in the material point method, International Journal for Numerical Methods in Engineering 113(1) (2018), 130-152. Gold open access

TJ Charlton, WM Coombs & CE Augarde, iGIMP: an implicit Generalised Interpolation Material Point Method for large deformations, Computers and Structures, 190 (2017), 108-125. Gold open access

Conference papers

WM Coombs, RS Crouch & CE Augarde (2010), 70-line 3D finite deformation elastoplastic finite-element code, in Benz, T. & Nordal, S. eds, 7th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE). Trondheim, Norway, Taylor & Francis Group, 151-156.

AMPLE: A Material Point Learning Environment

AMPLE was developed to address the sevre learning curve for researchers wishing to understand, and start using, the material point method. The software was developed at Durham University between 2014 and 2018 by Dr Will Coombs as a platform to test our new research ideas and understand the impact of adopting different material point variants. AMPLE was first released in January 2019 at the 2nd International Conference on the Material Point Method held at Cambridge University, UK.