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 journalArticle

7 Citations (Scopus)

Abstract

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
Volume126
DOIs
Publication statusPublished - 2017 Apr 1
Externally publishedYes

Fingerprint

Material Point Method
Interpolation
Interpolate
Triangular pyramid
Polyhedron
Triangular
Finite Element Method
Finite element method
Numerical Examples
Three-dimensional
Family
Demonstrate

Keywords

  • 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

Cite this

On a family of convected particle domain interpolations in the material point method. / Nguyen, Vinh Phu; Nguyen, Chi Thanh; Rabczuk, Timon; Natarajan, Sundararajan.

In: Finite Elements in Analysis and Design, Vol. 126, 01.04.2017, p. 50-64.

Research output: Contribution to journalArticle

Nguyen, Vinh Phu ; Nguyen, Chi Thanh ; Rabczuk, Timon ; Natarajan, Sundararajan. / On a family of convected particle domain interpolations in the material point method. In: Finite Elements in Analysis and Design. 2017 ; Vol. 126. pp. 50-64.
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