A Voronoi cell material point method for large deformation solid mechanics problems

Vinh Phu Nguyen, Giang Dinh Nguyen

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review


Particle methods have been increasingly used in numerical simulations of complex problems in both sciences and engineering. A plethora of different particle methods exists of which the material point method (MPM) is a promising method that is able to deal with high strain rate problems that involve contact, impact, damage and fragmentation. Particle domains in the MPM are currently represented by quadrilaterals in two dimensions. Extension to polygonal particle domains is presented based on a simple sub-division of the polygons into sub-triangles. This allows MPM simulations to be carried out for structures and materials discretized by Voronoi tessellations. Performances of the proposed method are illustrated by means of numerical simulations.
Original languageEnglish
Title of host publicationAdvances of Computational Mechanics in Australia
EditorsYuantong Gu, Hong Guan, Emilie Sauret, Suvash Saha, Haifei Zhan, Rodney Persky
Place of PublicationPfaffikon Switzerland
PublisherTrans Tech Publications
Number of pages6
ISBN (Print)9783038355281
Publication statusPublished - 2016
Externally publishedYes
EventAustralasian Conference on Computational Mechanics 2015 - Brisbane, Australia
Duration: 30 Nov 20151 Dec 2015
Conference number: 2nd
https://www.scientific.net/AMM.846.-5.pdf (Preface)

Publication series

NameApplied Mechanics and Materials
PublisherTrans Tech Publications
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482


ConferenceAustralasian Conference on Computational Mechanics 2015
Abbreviated titleACCM 2015
Internet address


  • Material point method (MPM)
  • Convected particle domain interpolation (CPDI)
  • Polygonal particle domain
  • Voronai diagrams
  • Particle methods
  • Voronoi cell MPM (VC-MPM)

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