Beam and plate formulations in peridynamic framework

Research output: Contribution to conferenceAbstract

Abstract

Every object in the world has a 3-Dimensional geometrical shape. Therefore, 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 presentation, such simplifications in the form of beam and plate formulations within peridynamic framework will be presented. The equations of motion are obtained by utilizing Euler-Lagrange equations. Moreover, it is possible to implement such formulations in finite element framework which can bring significant computational efficiency for the numerical solution process. The accuracy of the formulations is validated by considering various benchmark problems subjected to different loading and displacement/rotation boundary conditions.

Conference

ConferenceWorkshop on “Encounter of the third kind” on “Generalized continua and microstructures”
CountryItaly
CityArpino
Period3/04/187/04/18

Fingerprint

Geometry
Model structures
Computational efficiency
Equations of motion
Boundary conditions

Keywords

  • peridynamic framework
  • finite element framework
  • geometry

Cite this

Oterkus, E., Yang, Z., Vazic, B., & Oterkus, S. (2018). Beam and plate formulations in peridynamic framework. Abstract from Workshop on “Encounter of the third kind” on “Generalized continua and microstructures”, Arpino, Italy.
Oterkus, Erkan ; Yang, Zhenghao ; Vazic, Bozo ; Oterkus, Selda. / Beam and plate formulations in peridynamic framework. Abstract from Workshop on “Encounter of the third kind” on “Generalized continua and microstructures”, Arpino, Italy.1 p.
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Oterkus, E, Yang, Z, Vazic, B & Oterkus, S 2018, 'Beam and plate formulations in peridynamic framework' Workshop on “Encounter of the third kind” on “Generalized continua and microstructures”, Arpino, Italy, 3/04/18 - 7/04/18, .

Beam and plate formulations in peridynamic framework. / Oterkus, Erkan; Yang, Zhenghao; Vazic, Bozo; Oterkus, Selda.

2018. Abstract from Workshop on “Encounter of the third kind” on “Generalized continua and microstructures”, Arpino, Italy.

Research output: Contribution to conferenceAbstract

TY - CONF

T1 - Beam and plate formulations in peridynamic framework

AU - Oterkus, Erkan

AU - Yang, Zhenghao

AU - Vazic, Bozo

AU - Oterkus, Selda

PY - 2018/4/5

Y1 - 2018/4/5

N2 - Every object in the world has a 3-Dimensional geometrical shape. Therefore, 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 presentation, such simplifications in the form of beam and plate formulations within peridynamic framework will be presented. The equations of motion are obtained by utilizing Euler-Lagrange equations. Moreover, it is possible to implement such formulations in finite element framework which can bring significant computational efficiency for the numerical solution process. The accuracy of the formulations 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. Therefore, 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 presentation, such simplifications in the form of beam and plate formulations within peridynamic framework will be presented. The equations of motion are obtained by utilizing Euler-Lagrange equations. Moreover, it is possible to implement such formulations in finite element framework which can bring significant computational efficiency for the numerical solution process. The accuracy of the formulations is validated by considering various benchmark problems subjected to different loading and displacement/rotation boundary conditions.

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KW - finite element framework

KW - geometry

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M3 - Abstract

ER -

Oterkus E, Yang Z, Vazic B, Oterkus S. Beam and plate formulations in peridynamic framework. 2018. Abstract from Workshop on “Encounter of the third kind” on “Generalized continua and microstructures”, Arpino, Italy.