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

Research output: Contribution to journalArticle

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.
LanguageEnglish
JournalJournal of Peridynamics and Nonlocal Modeling
DOIs
Publication statusAccepted/In press - 9 Apr 2019

Fingerprint

Mindlin plates
Ice
Stiffness
Cracks

Keywords

  • Mindlin plate
  • Winkler elastic foundation
  • adaptive dynamic relaxation

Cite this

@article{49087a3237364dceb61ee697a078cf82,
title = "Peridynamic model for a Mindlin plate resting on a Winkler elastic foundation",
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.",
keywords = "Mindlin plate, Winkler elastic foundation, adaptive dynamic relaxation",
author = "Bozo Vazic and Erkan Oterkus and Selda Oterkus",
year = "2019",
month = "4",
day = "9",
doi = "10.1007/s42102-019-00011-z",
language = "English",
journal = "Journal of Peridynamics and Nonlocal Modeling",
issn = "2522-896X",

}

TY - JOUR

T1 - Peridynamic model for a Mindlin plate resting on a Winkler elastic foundation

AU - Vazic, Bozo

AU - Oterkus, Erkan

AU - Oterkus, Selda

PY - 2019/4/9

Y1 - 2019/4/9

N2 - 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.

AB - 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.

KW - Mindlin plate

KW - Winkler elastic foundation

KW - adaptive dynamic relaxation

U2 - 10.1007/s42102-019-00011-z

DO - 10.1007/s42102-019-00011-z

M3 - Article

JO - Journal of Peridynamics and Nonlocal Modeling

T2 - Journal of Peridynamics and Nonlocal Modeling

JF - Journal of Peridynamics and Nonlocal Modeling

SN - 2522-896X

ER -