Peridynamic thermal diffusion

Selda Oterkus, Erdogan Madenci, Abigail Agwai

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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.
Original languageEnglish
Pages (from-to)71-96
Number of pages26
JournalJournal of Computational Physics
Early online date4 Feb 2014
Publication statusPublished - 15 May 2014



  • thermal
  • conduction
  • diffusion
  • peridynamics
  • nonlocal

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