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

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

doi:10.1016/j.finel.2016.11.007

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

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

College of Engineering

Research output: Contribution to journal › Article › peer-review

38 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 language	English
Pages (from-to)	50-64
Number of pages	15
Journal	Finite Elements in Analysis and Design
Volume	126
DOIs	https://doi.org/10.1016/j.finel.2016.11.007
Publication status	Published - 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.

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

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10.1016/j.finel.2016.11.007

Cite this

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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.",

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AB - 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.

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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