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.
Bibliographical noteFunding 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.
© 2016 Elsevier B.V.
- Convected particle domain interpolation (CPDI)
- Large deformation
- Material point method (MPM)
ASJC Scopus subject areas
- Computer Graphics and Computer-Aided Design
- Applied Mathematics