In this chapter, peridynamic formulations for Timoshenko beams and Mindlin plates are presented. Governing equations are obtained by using Euler-Lagrange equations. The capability of the presented formulations is demonstrated by considering two benchmark problems. In the first problem, a simply supported beam subjected to transverse loading is considered. In the second case, a simply supported Mindlin plate subjected to transverse loading is analyzed. Peridynamic results are compared against finite element solutions and a very good agreement is obtained between the two solutions.
Original languageEnglish
Title of host publicationPeridynamic Modeling, Numerical Techniques, and Applications
EditorsErkan Oterkus, Selda Oterkus, Erdogan Madenci
Place of PublicationAmsterdam, Netherlands
Number of pages16
Publication statusPublished - 30 Apr 2021

Publication series

NameA volume in Elsevier Series in Mechanics of Advanced Materials


  • Euler-Lagrange equations
  • Mindlin plate
  • nonlocal
  • peridynamics
  • Timoshenko beam


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