Peridynamic Modeling of Diffusion by Using Finite-Element Analysis

Cagan Diyaroglu, Selda Oterkus, Erkan Oterkus, Erdogan Madenci

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


Diffusion modeling is essential in understanding many physical phenomena such as heat transfer, moisture concentration, and electrical conductivity. In the presence of material and geometric discontinuities and nonlocal effects, a nonlocal continuum approach, named peridynamics (PD), can be advantageous over the traditional local approaches. PD is based on integro-differential equations without including any spatial derivatives. In general, these equations are solved numerically by employing meshless discretization techniques. Although fundamentally different, commercial finite-element software can be a suitable platform for PD simulations that may result in several computational benefits. Hence, this paper presents the PD diffusion modeling and implementation procedure in a widely used commercial finite-element analysis software, ANSYS. The accuracy and capability of this approach is demonstrated by considering several benchmark problems.

Original languageEnglish (US)
Article number8022980
Pages (from-to)1823-1831
Number of pages9
JournalIEEE Transactions on Components, Packaging and Manufacturing Technology
Issue number11
StatePublished - Nov 2017


  • Diffusion
  • finite element
  • model
  • peridynamics (PD)

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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