Application of a second-order implicit material point method

M Burg, L.J. Lim, Ronald Brinkgreve

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)
27 Downloads (Pure)


In this work, we present the application of a newly developed implicit second-order Material Point Method (MPM) on offshore geotechnical applications. The presented second-order MPM uses a special set of piecewise quadratic shape functions to circumvent the well-known issue of producing zero nodal mass contributions. To mitigate the effect of the standard MPM to produce highly oscillating stresses across cell interfaces, we have carried over our ideas obtained from the derivation of the second-order MPM to the Dual Domain Material Point (DDMP) Method, too. The resulting second-order DDMP Method produces a smoother stress distribution across the entire computational domain while being able to profit from the improved convergence rates of second-order finite elements. In a numerical example from geotechnical engineering applications, we illustrate the practical application of our enhanced Material Point and DDMP Methods by simulating a cone penetration.
Original languageEnglish
Title of host publicationProcedia Engineering
Editors Alexander Rohe, Kenichi Soga, Hans Teunissen, Bruno Zuada Coelho
Number of pages8
Publication statusPublished - 2017
Event1st International Conference on the Material Point Method: Modelling Large Deformation and Soil–Water–Structure Interaction - Deltares, Delft, Netherlands
Duration: 10 Jan 201713 Jan 2017
Conference number: 1

Publication series

NameProcedia Engineering
ISSN (Electronic)1877-7058


Conference1st International Conference on the Material Point Method
Abbreviated titleMPM 2017
OtherWe are delighted to invite you to join us at the First International Conference on the Material Point Method for “Modelling Large Deformation and Soil–Water–Structure Interaction” organised by the Anura 3D MPM Research Community in January 2017 in Delft. This is the first conference following a series of international workshops and symposia previously held in Padova (2016), Barcelona (2015), Cambridge (2014) and Delft (2013) in the context of the FP7 Marie-Curie project MPM–DREDGE.
Internet address


  • material point method
  • DDMP
  • large deformations
  • particle-in-cell method
  • offshore geotechnical engineering


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