On a family of convected particle domain interpolations in the material point method

Vinh Phu Nguyen, Chi Thanh Nguyen, Timon Rabczuk, Sundararajan Natarajan

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)


We present a family of convected particle domain interpolations (CPDIs) within the framework of the material point method (MPM). That includes two dimensional triangular, quadrilateral, and polygonal CPDIs and three dimensional tetrahedron and polyhedron CPDIs. Theoretical derivations as well as computer implementation aspects are provided. A new perspective of CPDIs is given to link it to the recent works on the coupling of MPM and the finite element method. Numerical examples are given to demonstrate the performance of the proposed method.

Original languageEnglish
Pages (from-to)50-64
Number of pages15
JournalFinite Elements in Analysis and Design
Publication statusPublished - 2017 Apr 1

Bibliographical note

Funding Information:
Funding support from the Australian Research Council via project DE160100577 (Vinh Phu Nguyen) is gratefully acknowledged. VPN appreciates the support of the School of Civil, Environmental and Mining Engineering during his stay at the University of Adelaide. VPN thanks the stimulating discussions with and the encouragement of Dr. Rebecca Brannon at University of Utah.

Publisher Copyright:
© 2016 Elsevier B.V.


  • Convected particle domain interpolation (CPDI)
  • Large deformation
  • Material point method (MPM)
  • Polygon
  • Polyhedra

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics


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