Peridynamic modelling of higher order functionally graded plates

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With the development of advanced manufacturing technologies, the importance of functionally graded materials is growing as they are advantageous over widely used traditional composites. In this paper, we present a novel peridynamic model for higher order functional graded plates for various thicknesses. Moreover, the formulation eliminates the usage of shear correction factors. Euler–Lagrange equations and Taylor's expansion are utilised to derive the governing equations. The capability of the developed peridynamic model is demonstrated by considering several benchmark problems. In these benchmark cases simply supported, clamped and mixed boundary conditions are also tested. The peridynamic results are also verified by their finite element analysis counterparts. According to the comparison, peridynamic and finite element analysis results agree very well with each other.

Original languageEnglish
Pages (from-to)1737-1759
Number of pages23
JournalMathematics and Mechanics of Solids
Issue number12
Early online date19 Apr 2021
Publication statusPublished - 1 Dec 2021


  • peridynamics
  • functionally graded
  • higher order plate theory
  • non-local
  • Euler-Lagrange formulation


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