A Kirchhoff plate formulation in a state-based peridynamic framework

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Abstract

In recent years, there has been rapid progress on peridynamics. It has been applied to many different material systems, used for coupled field analysis and is suitable for multi-scale analysis. This study mainly focuses on peridynamic analysis for plate-type structures. For this purpose, a new peridynamic Kirchhoff plate is developed. The new formulation is computationally efficient by having only one degree of freedom for each material point. Moreover, it is based on the state-based peridynamic formulation, which does not impose any limitation on material constants. After presenting how to impose simply supported and clamped boundary conditions in this new formulation, several numerical studies are considered to demonstrate the accuracy and capability of the proposed formulation.

Original languageEnglish
Number of pages15
JournalMathematics and Mechanics of Solids
Early online date17 Nov 2019
DOIs
Publication statusE-pub ahead of print - 17 Nov 2019

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Keywords

  • peridynamics
  • coupled field analysis
  • Kirchhoff plate
  • continuum mechanics
  • state-based
  • non-local

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