Peridynamic thermal diffusion

Selda Oterkus, Erdogan Madenci, Abigail Agwai

Research output: Contribution to journalArticle

101 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)71-96
Number of pages26
JournalJournal of Computational Physics
Volume265
DOIs
StatePublished - May 15 2014

Keywords

  • 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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