Peridynamic thermal diffusion

Selda Oterkus, Erdogan Madenci, Abigail Agwai

Research output: Contribution to journalArticlepeer-review

184 Scopus citations


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 (US)
Pages (from-to)71-96
Number of pages26
JournalJournal of Computational Physics
StatePublished - May 15 2014


  • Conduction
  • Diffusion
  • Nonlocal
  • Peridynamics
  • Thermal

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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