A particle method for history-dependent materials
type: Item
instance of: scholarly article
title: A particle method for history-dependent materials
zbMATH Open document ID: 0851.73078
DOI: 10.1016/0045-7825(94)00033-6
author: Yanyan Li
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-06-13T00:00:00Z
full work available at URL: metadc1385575
review text: We propose a particle-in-cell method in which particles are interpreted as material points that are followed through the complete loading process. A fixed Eulerian grid provides the means for determining a spatial gradient. Because the grid can also be interpreted as an updated Lagrangian frame, the usual convection term in the acceleration associated with Eulerian formulations does not appear. With the use of maps between material points and the grid, the advantages of both Eulerian and Lagrangian schemes are utilized, so that mesh tangling is avoided while material variables are tracked through the complete deformation history. Example solutions in two dimensions are given to illustrate the robustness of the algorithm.
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 881006
zbMATH Keywords: Eulerian schemes
zbMATH Keywords: particle-in-cell method
zbMATH Keywords: fixed Eulerian grid
zbMATH Keywords: spatial gradient
zbMATH Keywords: updated Lagrangian frame
zbMATH Keywords: Lagrangian schemes
MaRDI profile type: Publication
OpenAlex ID: W3022929377
cites work: FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
cites work: Mass matrix formulation of the FLIP particle-in-cell method
cites work: A numerical method for suspension flow
cites work: An arbitrary Lagrangian-Eulerian computing method for all flow speeds
cites work: Computational methods in Lagrangian and Eulerian hydrocodes
cites work: High strain Lagrangian hydrodynamics. A three-dimensional SPH code for dynamic material response
Wikidata QID: Q127549016
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description: scientific article; zbMATH DE number 881006