Thermal diffusion analysis by using dual horizon peridynamics

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In this study, Dual Horizon Peridynamics formulation is presented for thermal diffusion analysis. Lagrangian formalism is utilised to derive the governing equations. The proposed formulation allows utilisation of variable discretisation and horizon sizes inside the solution domain which can result in significant benefits in terms of computational time. To demonstrate the capability of the Dual Horizon Peridynamics formulation, three different example problems
are considered including a square plate with temperature and no flux boundary conditions, a square plate under thermal shock loading, and a square plate with an insulated crack. For all problems that are considered good agreement is obtained between peridynamics (PD) predictions and finite element method (FEM) results.
Original languageEnglish
Number of pages24
JournalJournal of Thermal Stresses
Publication statusAccepted/In press - 20 Oct 2020


  • thermal diffusion
  • dual horizon
  • peridynamics


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