Peridynamic thermal diffusion

Selda Oterkus, Erdogan Madenci, Abigail Agwai

Research output: Contribution to journalArticle

82 Citations (Scopus)

Abstract

This study presents the derivation of ordinary state-based peridynamic heat conduction equation based on the Lagrangian formalism. The peridynamic heat conduction parameters are related to those of the classical theory. An explicit time stepping scheme is adopted for numerical solution of various benchmark problems with known solutions. It paves the way for applying the peridynamic theory to other physical fields such as neutronic diffusion and electrical potential distribution.
LanguageEnglish
Pages71-96
Number of pages26
JournalJournal of Computational Physics
Volume265
Early online date4 Feb 2014
DOIs
Publication statusPublished - 15 May 2014

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Thermal diffusion
thermal diffusion
Heat conduction
conductive heat transfer
derivation
formalism

Keywords

  • thermal
  • conduction
  • diffusion
  • peridynamics
  • nonlocal

Cite this

Oterkus, Selda ; Madenci, Erdogan ; Agwai, Abigail. / Peridynamic thermal diffusion. In: Journal of Computational Physics. 2014 ; Vol. 265. pp. 71-96.
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Peridynamic thermal diffusion. / Oterkus, Selda; Madenci, Erdogan; Agwai, Abigail.

In: Journal of Computational Physics, Vol. 265, 15.05.2014, p. 71-96.

Research output: Contribution to journalArticle

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AU - Oterkus, Selda

AU - Madenci, Erdogan

AU - Agwai, Abigail

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AB - This study presents the derivation of ordinary state-based peridynamic heat conduction equation based on the Lagrangian formalism. The peridynamic heat conduction parameters are related to those of the classical theory. An explicit time stepping scheme is adopted for numerical solution of various benchmark problems with known solutions. It paves the way for applying the peridynamic theory to other physical fields such as neutronic diffusion and electrical potential distribution.

KW - thermal

KW - conduction

KW - diffusion

KW - peridynamics

KW - nonlocal

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