Peridynamic higher-order beam formulation

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In this study, a novel higher-order peridynamic beam formulation is presented. The formulation is obtained by using Euler-Lagrange equations and Taylor’s expansion. To demonstrate the capability of the presented approach, several different beam configurations are considered including simply supported beam subjected to distributed loading, simply supported beam with concentrated load, clamped-clamped beam subjected to distributed loading, cantilever beam subjected to a point load at its free end, and cantilever beam subjected to a moment at its free end. Transverse displacement results along the beam obtained from peridynamics and finite element method are compared with each other and very good agreement is obtained between the two approaches.
Original languageEnglish
Pages (from-to)67-83
Number of pages17
JournalJournal of Peridynamics and Nonlocal Modeling
Issue number1
Early online date28 Sep 2020
Publication statusE-pub ahead of print - 28 Sep 2020


  • peridynamics
  • higher-order
  • beam
  • Euler-Lagrange equations


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