Analysis of functionally graded Timoshenko beams by using peridynamics

Zhenghao Yang; Erkan Oterkus; Selda Oterkus

doi:10.1007/s42102-020-00044-9

Analysis of functionally graded Timoshenko beams by using peridynamics

Zhenghao Yang, Erkan Oterkus, Selda Oterkus

Naval Architecture, Ocean And Marine Engineering

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

12 Downloads (Pure)

Abstract

In this study, a new peridynamic formulation is presented for functionally graded Timoshenko beams. The governing equations of the peridynamic formulation are obtained by utilising Euler-Lagrange equation and Taylor’s expansion. The proposed formulation is validated by considering a Timoshenko beam subjected to different boundary conditions including pinned support – roller support, clamped – roller support, and clamped – free boundary conditions. Results from peridynamics are compared against finite element analysis results. A very good agreement is obtained for transverse displacements, rotations and axial displacements along the beam.

Original language	English
Pages (from-to)	148-166
Number of pages	20
Journal	Journal of Peridynamics and Nonlocal Modeling
Volume	3
Early online date	10 Oct 2020
DOIs	https://doi.org/10.1007/s42102-020-00044-9
Publication status	Published - Jun 2021

Keywords

peridynamics
Timoshenko beam
functionally graded
non local

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10.1007/s42102-020-00044-9Licence: CC BY 4.0

Yang-etal-JPNM-2020-Analysis-of-functionally-graded-Timoshenko-beams-by-using-peridynamicsFinal published version, 1.48 MBLicence: CC BY 4.0

Cite this

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title = "Analysis of functionally graded Timoshenko beams by using peridynamics",

abstract = "In this study, a new peridynamic formulation is presented for functionally graded Timoshenko beams. The governing equations of the peridynamic formulation are obtained by utilising Euler-Lagrange equation and Taylor{\textquoteright}s expansion. The proposed formulation is validated by considering a Timoshenko beam subjected to different boundary conditions including pinned support – roller support, clamped – roller support, and clamped – free boundary conditions. Results from peridynamics are compared against finite element analysis results. A very good agreement is obtained for transverse displacements, rotations and axial displacements along the beam. ",

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author = "Zhenghao Yang and Erkan Oterkus and Selda Oterkus",

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doi = "10.1007/s42102-020-00044-9",

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T1 - Analysis of functionally graded Timoshenko beams by using peridynamics

AU - Yang, Zhenghao

AU - Oterkus, Erkan

AU - Oterkus, Selda

PY - 2021/6

Y1 - 2021/6

N2 - In this study, a new peridynamic formulation is presented for functionally graded Timoshenko beams. The governing equations of the peridynamic formulation are obtained by utilising Euler-Lagrange equation and Taylor’s expansion. The proposed formulation is validated by considering a Timoshenko beam subjected to different boundary conditions including pinned support – roller support, clamped – roller support, and clamped – free boundary conditions. Results from peridynamics are compared against finite element analysis results. A very good agreement is obtained for transverse displacements, rotations and axial displacements along the beam.

AB - In this study, a new peridynamic formulation is presented for functionally graded Timoshenko beams. The governing equations of the peridynamic formulation are obtained by utilising Euler-Lagrange equation and Taylor’s expansion. The proposed formulation is validated by considering a Timoshenko beam subjected to different boundary conditions including pinned support – roller support, clamped – roller support, and clamped – free boundary conditions. Results from peridynamics are compared against finite element analysis results. A very good agreement is obtained for transverse displacements, rotations and axial displacements along the beam.

KW - peridynamics

KW - Timoshenko beam

KW - functionally graded

KW - non local

U2 - 10.1007/s42102-020-00044-9

DO - 10.1007/s42102-020-00044-9

M3 - Article

SN - 2522-896X

VL - 3

SP - 148

EP - 166

JO - Journal of Peridynamics and Nonlocal Modeling

JF - Journal of Peridynamics and Nonlocal Modeling

ER -

Analysis of functionally graded Timoshenko beams by using peridynamics

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