Peridynamic modelling of higher order functionally graded plates

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Abstract

With the development of advanced manufacturing technologies, the importance of functionally graded materials is growing since they are advantageous over widely used traditional composites. In this paper, 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 (FEA) counterparts. According to the comparison, peridynamic and finite element analysis results agree very well with each other.
Original languageEnglish
Number of pages31
JournalMathematics and Mechanics of Solids
Publication statusAccepted/In press - 28 Feb 2021

Keywords

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

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