Peridynamic mindlin plate formulation for functionally graded materials

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Abstract

In this study, a new peridynamic Mindlin plate formulation is presented which is suitable for the analysis of functionally graded materials. The governing equations of peridynamic formulation are obtained by using Euler-Lagrange equations in conjunction with Taylor’s expansion. To validate the new formulation, three different numerical benchmark problems are considered for a Mindlin plate subjected to simply supported, fully clamped and mixed (clamped-simply supported) boundary conditions. Peridynamic results are compared against results from finite element analysis and a good agreement is observed between the two methods.
Original languageEnglish
Article number76
Number of pages25
JournalJournal of Composites Science
Volume4
Issue number2
DOIs
Publication statusPublished - 19 Jun 2020

Keywords

  • peridynamics
  • mindlin plate
  • functionality graded materials
  • transverse shear deformation

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