### Abstract

Original language | English |
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Number of pages | 24 |

Journal | Mathematics and Mechanics of Solids |

Early online date | 2 Sep 2017 |

DOIs | |

Publication status | E-pub ahead of print - 2 Sep 2017 |

### Fingerprint

### Keywords

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

### Cite this

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**An Euler-Bernoulli beam formulation in ordinary state-based peridynamic framework.** / Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda.

Research output: Contribution to journal › Article

TY - JOUR

T1 - An Euler-Bernoulli beam formulation in ordinary state-based peridynamic framework

AU - Diyaroglu, Cagan

AU - Oterkus, Erkan

AU - Oterkus, Selda

PY - 2017/9/2

Y1 - 2017/9/2

N2 - 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.

AB - 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.

KW - Euler-Bernoulli beam

KW - peridynamic framework

KW - Euler-Lagrange equations

KW - boundary conditions

KW - 3-dimensional geometry

UR - http://journals.sagepub.com/home/mms

U2 - 10.1177/1081286517728424

DO - 10.1177/1081286517728424

M3 - Article

JO - Mathematics and Mechanics of Solids

JF - Mathematics and Mechanics of Solids

SN - 1081-2865

ER -