Particle method modeling of nonlocal multiresolution continua

Zili Dai, Miguel A. Bessa, Shaofan Li, Wing Kam Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This work is concerned with the application of two different particle methods, the state-based peridynamics and the reproducing kernel particle method, to model the nonlocal multiresolution continuum. It is shown that both methods lead to the same results in uniform grids, and that they can offer an alternative to the finite element method based multiscale analysis. The equivalence between the two methods is explained in a comparison study, which shows that the statebased peridynamics may have better computational efficiency, but the RKPM synchronized derivative approach may have the possibility of faster convergence.

Original languageEnglish (US)
Pages (from-to)43-60
Number of pages18
JournalLecture Notes in Computational Science and Engineering
Volume100
StatePublished - Jan 1 2014

Keywords

  • Micromorphic continuum
  • Multiresolution continuum
  • Reproducing kernel particle method
  • State-based peridynamics

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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