Two-dimensional implementation of the coarsening method for linear peridynamics

Research output: Contribution to journalArticle

Abstract

Peridynamic theory was introduced to overcome the limitations of classical continuum mechanics (CCM) in handling discontinuous material response. However, for certain problems, it is computationally expensive with respect to CCM based approaches. To reduce the computational time, a coarsening method was developed and its capabilities were demonstrated for one-dimensional structures by substituting a detailed model with a surrogate model with fewer degrees of freedom. The objective of this study is to extend the application of coarsening method for linear peridynamics for two-dimensional analysis. Moreover, the existing one-dimensional coarsening method was further explored by considering various different micromodulus functions. The numerical results demonstrated that coarsening approach has a potential to reduce the computational time with high accuracy for both one-dimensional and two-dimensional problems.
LanguageEnglish
Pages252-275
Number of pages24
JournalAIMS Materials Science
Volume6
Issue number2
DOIs
Publication statusPublished - 3 Apr 2019

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Coarsening
Continuum mechanics
Materials handling

Keywords

  • peridynamics
  • coarsening
  • non-local
  • numerical
  • composite

Cite this

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title = "Two-dimensional implementation of the coarsening method for linear peridynamics",
abstract = "Peridynamic theory was introduced to overcome the limitations of classical continuum mechanics (CCM) in handling discontinuous material response. However, for certain problems, it is computationally expensive with respect to CCM based approaches. To reduce the computational time, a coarsening method was developed and its capabilities were demonstrated for one-dimensional structures by substituting a detailed model with a surrogate model with fewer degrees of freedom. The objective of this study is to extend the application of coarsening method for linear peridynamics for two-dimensional analysis. Moreover, the existing one-dimensional coarsening method was further explored by considering various different micromodulus functions. The numerical results demonstrated that coarsening approach has a potential to reduce the computational time with high accuracy for both one-dimensional and two-dimensional problems.",
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author = "Yakubu Galadima and Erkan Oterkus and Selda Oterkus",
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Two-dimensional implementation of the coarsening method for linear peridynamics. / Galadima, Yakubu; Oterkus, Erkan; Oterkus, Selda.

In: AIMS Materials Science, Vol. 6, No. 2, 03.04.2019, p. 252-275.

Research output: Contribution to journalArticle

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