An Euler-Bernoulli beam formulation in ordinary state-based peridynamic framework

Cagan Diyaroglu, Erkan Oterkus, Selda Oterkus

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Every object in the world has a 3-Dimensional geometrical shape and it is usually possible to model structures in a 3-Dimensional fashion although this approach can be computationally expensive. In order to reduce computational time, the 3-Dimensional geometry can be simplified as a beam, plate or shell type of structure depending on the geometry and loading. This simplification should also be accurately reflected in the formulation which is used for the analysis. In this study, such an approach is presented by developing an Euler-Bernoulli beam formulation within ordinary-state based peridynamic framework. The equation of motion is obtained by utilizing Euler-Lagrange equations. The accuracy of the formulation is validated by considering various benchmark problems subjected to different loading and displacement/rotation boundary conditions.
LanguageEnglish
Number of pages24
JournalMathematics and Mechanics of Solids
Early online date2 Sep 2017
DOIs
Publication statusE-pub ahead of print - 2 Sep 2017

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Euler-Bernoulli Beam
Geometry
Formulation
Model structures
Equations of motion
Euler-Lagrange Equations
Boundary conditions
Simplification
Equations of Motion
Shell
Benchmark
Framework
Model

Keywords

  • Euler-Bernoulli beam
  • peridynamic framework
  • Euler-Lagrange equations
  • boundary conditions
  • 3-dimensional geometry

Cite this

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