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

Chen, Hailong

doi:10.1016/j.cma.2018.11.001

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:

^[1]

Idaho National Lab. (INL), Idaho Falls, ID (United States); Univ. of Kentucky, Lexington, KY (United States)

Publication Date:: 2018-11-22

Research Org.:: Idaho National Lab. (INL), Idaho Falls, ID (United States)

Sponsoring Org.:: USDOE Office of Nuclear Energy (NE)

OSTI Identifier:: 1562887

Alternate Identifier(s):: OSTI ID: 1636184

Report Number(s):: INL/JOU-18-45698-Rev000
Journal ID: ISSN 0045-7825; TRN: US2000770

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.

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                    Chen, Hailong. A comparison study on peridynamic models using irregular non-uniform spatial discretization.  United States.  https://doi.org/10.1016/j.cma.2018.11.001

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                    Chen, Hailong. Thu .  
"A comparison study on peridynamic models using irregular non-uniform spatial discretization".  United States.  https://doi.org/10.1016/j.cma.2018.11.001.  https://www.osti.gov/servlets/purl/1562887.

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@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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Works referenced in this record:

Variable horizon in a peridynamic medium
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Thermomechanical peridynamic analysis with irregular non-uniform domain discretization
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Hu, Yile; Chen, Hailong; Spencer, Benjamin W.
Engineering Fracture Mechanics, Vol. 197
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Non-ordinary state-based peridynamic analysis of stationary crack problems
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Works referencing / citing this record:

Family Member Search Algorithms for Peridynamic Analysis
journal, January 2020

Vazic, Bozo; Diyaroglu, Cagan; Oterkus, Erkan
Journal of Peridynamics and Nonlocal Modeling, Vol. 2, Issue 1
DOI: 10.1007/s42102-019-00027-5

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

Abstract

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