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Anisotropic peridynamic model—Formulation and implementation

Ahadi, Aylin LU and Krochmal, Jakob (2018) In AIMS Materials Science 5(4). p.742-755
Abstract
In this work, anisotropy is introduced in a peridynamic model. The spherical influence function is replaced by an ellipsoidal influence function. The model is mathematically formulated and implemented into the source files of LAMMPS, extending the program in a straight-forward manner. The extension ca be applied to other peridynamic model and here it is introduced into elasto-plastic peridynamic model in LAMMPS. The implemented model is tested through simulating beams loaded in compression. The model is found to alter the material behavior in the simulations compared to the original isotropic mode. A clear qualitative and quantitative difference in behavior is shown independently of pre-existing simulation parameters. The model is shown to... (More)
In this work, anisotropy is introduced in a peridynamic model. The spherical influence function is replaced by an ellipsoidal influence function. The model is mathematically formulated and implemented into the source files of LAMMPS, extending the program in a straight-forward manner. The extension ca be applied to other peridynamic model and here it is introduced into elasto-plastic peridynamic model in LAMMPS. The implemented model is tested through simulating beams loaded in compression. The model is found to alter the material behavior in the simulations compared to the original isotropic mode. A clear qualitative and quantitative difference in behavior is shown independently of pre-existing simulation parameters. The model is shown to be internally consistent. Finally we also demonstrated that the model can easily be extended to include several preferable direction opening for application as modeling elastic-plastic deformation of anisotropic heterogeneous crystalline matter. (Less)
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
peridynamics, anisotropy, PDLAMMPS, implementation
in
AIMS Materials Science
volume
5
issue
4
pages
15 pages
publisher
AIMS Press
external identifiers
  • scopus:85062373692
ISSN
2372-0484
DOI
10.3934/matersci.2018.4.742
project
Peridynamic modeling of materials
language
Swedish
LU publication?
yes
id
d225ef6b-7db7-4be0-ab19-11caf663d773
date added to LUP
2018-08-13 13:45:19
date last changed
2021-09-22 05:01:23
@article{d225ef6b-7db7-4be0-ab19-11caf663d773,
  abstract     = {In this work, anisotropy is introduced in a peridynamic model. The spherical influence function is replaced by an ellipsoidal influence function. The model is mathematically formulated and implemented into the source files of LAMMPS, extending the program in a straight-forward manner. The extension ca be applied to other peridynamic model and here it is introduced into elasto-plastic peridynamic model in LAMMPS. The implemented model is tested through simulating beams loaded in compression. The model is found to alter the material behavior in the simulations compared to the original isotropic mode. A clear qualitative and quantitative difference in behavior is shown independently of pre-existing simulation parameters. The model is shown to be internally consistent. Finally we also demonstrated that the model can easily be extended to include several preferable direction opening for application as modeling elastic-plastic deformation of anisotropic heterogeneous crystalline matter.},
  author       = {Ahadi, Aylin and Krochmal, Jakob},
  issn         = {2372-0484},
  language     = {swe},
  number       = {4},
  pages        = {742--755},
  publisher    = {AIMS Press},
  series       = {AIMS Materials Science},
  title        = {Anisotropic peridynamic model—Formulation and implementation},
  url          = {http://dx.doi.org/10.3934/matersci.2018.4.742},
  doi          = {10.3934/matersci.2018.4.742},
  volume       = {5},
  year         = {2018},
}