Peridynamic model for a Mindlin plate resting on a Winkler elastic foundation

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Abstract

In this study, a peridynamic model is presented for a Mindlin plate resting on a Winkler elastic foundation. In order to achievestatic and quasi-static loading conditions, direct solution of the peridynamic equations are utilised by directly assigning inertia terms to zero rather than using widely adapted Adaptive Dynamic Relaxationapproach. The formulation is verified by comparing againsta finite elementsolutionfor transverse loading conditionwithout considering damageand comparing against a previous study for pure bending of a Mindlin plate with a central crack made of PMMA material havingnegligibly small elastic foundation stiffness. Finally, the fracture behaviour of a pre-cracked Minlin platerested on a Winkler foundation subjected to transverse loadingrepresenting a floating ice floe interacting with sloping structures. Similar fracture patternsobserved in field observations weresuccessfully captured by peridynamics.
Original languageEnglish
Number of pages10
JournalJournal of Peridynamics and Nonlocal Modeling
Early online date10 Jan 2020
DOIs
Publication statusE-pub ahead of print - 10 Jan 2020

Keywords

  • Mindlin plate
  • Winkler elastic foundation
  • adaptive dynamic relaxation

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