Analysis of functionally graded Timoshenko beams by using peridynamics

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In this study, a new peridynamic formulation is presented for functionally graded Timoshenko beams. The governing equations of the peridynamic formulation are obtained by utilising Euler-Lagrange equation and Taylor’s expansion. The proposed formulation is validated by considering a Timoshenko beam subjected to different boundary conditions including pinned support – roller support, clamped – roller support, and clamped – free boundary conditions. Results from peridynamics are compared against finite element analysis results. A very good agreement is obtained for transverse displacements, rotations and axial displacements along the beam.
Original languageEnglish
Pages (from-to)148-166
Number of pages20
JournalJournal of Peridynamics and Nonlocal Modeling
Early online date10 Oct 2020
Publication statusE-pub ahead of print - 10 Oct 2020


  • peridynamics
  • Timoshenko beam
  • functionally graded
  • non local


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