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Title: A comparison study on peridynamic models using irregular non-uniform spatial discretization

Abstract

The applicability of peridynamic models to problems with irregular non-uniformly discretized solution domain is critical. In this study, a systematic comparison study on results predicted by eight peridynamic models, including bond-based, ordinary state-based and non-ordinary state-based mechanics and heat conduction models, for three different types of problems, including thermal, mechanical and coupled thermo-mechanical, with irregular spatial discretization are performed. It’s found that for the case of irregular but semi-uniform spatial discretization, all these models yield good predictions compared to analytical local solutions. For the case of irregular and non-uniform spatial discretization, models formulated specifically for this configuration give much better results than the conventional formulations which don’t consider the neighborhood difference among material points in the spatial discretization. As a result for either cases of spatial discretization, the bond-associated correspondence material model predicts the most accurate results.

Authors:
ORCiD logo [1]
  1. Idaho National Lab. (INL), Idaho Falls, ID (United States); Univ. of Kentucky, Lexington, KY (United States)
Publication Date:
Research Org.:
Idaho National Lab. (INL), Idaho Falls, ID (United States)
Sponsoring Org.:
USDOE Office of Nuclear Energy (NE)
OSTI Identifier:
1562887
Report Number(s):
INL/JOU-18-45698-Rev000
Journal ID: ISSN 0045-7825
Grant/Contract Number:  
AC07-05ID14517
Resource Type:
Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Volume: 345; Journal Issue: C; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Peridynamics; Irregular non-uniform spatial discretization; Comparison study

Citation Formats

Chen, Hailong. A comparison study on peridynamic models using irregular non-uniform spatial discretization. United States: N. p., 2018. Web. doi:10.1016/j.cma.2018.11.001.
Chen, Hailong. A comparison study on peridynamic models using irregular non-uniform spatial discretization. United States. doi:10.1016/j.cma.2018.11.001.
Chen, Hailong. Thu . "A comparison study on peridynamic models using irregular non-uniform spatial discretization". United States. doi:10.1016/j.cma.2018.11.001.
@article{osti_1562887,
title = {A comparison study on peridynamic models using irregular non-uniform spatial discretization},
author = {Chen, Hailong},
abstractNote = {The applicability of peridynamic models to problems with irregular non-uniformly discretized solution domain is critical. In this study, a systematic comparison study on results predicted by eight peridynamic models, including bond-based, ordinary state-based and non-ordinary state-based mechanics and heat conduction models, for three different types of problems, including thermal, mechanical and coupled thermo-mechanical, with irregular spatial discretization are performed. It’s found that for the case of irregular but semi-uniform spatial discretization, all these models yield good predictions compared to analytical local solutions. For the case of irregular and non-uniform spatial discretization, models formulated specifically for this configuration give much better results than the conventional formulations which don’t consider the neighborhood difference among material points in the spatial discretization. As a result for either cases of spatial discretization, the bond-associated correspondence material model predicts the most accurate results.},
doi = {10.1016/j.cma.2018.11.001},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = C,
volume = 345,
place = {United States},
year = {2018},
month = {11}
}

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This content will become publicly available on November 22, 2019
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