Peridynamic modeling of diffusion by using finite element analysis

Cagan Diyaroglu, Selda Oterkus, Erkan Oterkus, Erdogan Madenci

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)
176 Downloads (Pure)


Diffusion modeling is essential in understanding many physical phenomena such as heat transfer, moisture concentration, electrical conductivity, etc. In the presence of material and geometric discontinuities, and non-local effects, a non-local continuum approach, named as peridynamics, can be advantageous over the traditional local approaches. Peridynamics 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 peridynamic simulations which may result in several computational benefits. Hence, this study presents the peridynamic 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
Pages (from-to)1823-1831
Number of pages9
JournalIEEE Transactions on Components, Packaging and Manufacturing Technology
Issue number11
Early online date30 Aug 2017
Publication statusPublished - 30 Nov 2017


  • peridynamics
  • finite element
  • diffusion
  • model


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