Beam and plate models in peridynamics

Zhenghao Yang; Erkan Oterkus; Selda Oterkus

doi:10.1016/B978-0-12-820069-8.00006-8

Beam and plate models in peridynamics

Zhenghao Yang
, Erkan Oterkus
, Selda Oterkus

Civil Engineering

University of Strathclyde

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

In this chapter, peridynamic formulations for Timoshenko beams and Mindlin plates are presented. Governing equations are obtained by using Euler-Lagrange equations. The capability of the presented formulations is demonstrated by considering two benchmark problems. In the first problem, a simply supported beam subjected to transverse loading is considered. In the second case, a simply supported Mindlin plate subjected to transverse loading is analyzed. Peridynamic results are compared against finite element solutions and a very good agreement is obtained between the two solutions.

Original language	English
Title of host publication	Peridynamic Modeling, Numerical Techniques, and Applications
Publisher	Elsevier
Pages	97-112
Number of pages	16
ISBN (Electronic)	9780128200698
DOIs	https://doi.org/10.1016/B978-0-12-820069-8.00006-8
State	Published - Jan 1 2021

Keywords

Euler-Lagrange equations
Mindlin plate
Nonlocal
Peridynamics
Timoshenko beam

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10.1016/B978-0-12-820069-8.00006-8

Cite this

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title = "Beam and plate models in peridynamics",

abstract = "In this chapter, peridynamic formulations for Timoshenko beams and Mindlin plates are presented. Governing equations are obtained by using Euler-Lagrange equations. The capability of the presented formulations is demonstrated by considering two benchmark problems. In the first problem, a simply supported beam subjected to transverse loading is considered. In the second case, a simply supported Mindlin plate subjected to transverse loading is analyzed. Peridynamic results are compared against finite element solutions and a very good agreement is obtained between the two solutions.",

keywords = "Euler-Lagrange equations, Mindlin plate, Nonlocal, Peridynamics, Timoshenko beam",

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T1 - Beam and plate models in peridynamics

AU - Yang, Zhenghao

AU - Oterkus, Erkan

AU - Oterkus, Selda

PY - 2021/1/1

Y1 - 2021/1/1

N2 - In this chapter, peridynamic formulations for Timoshenko beams and Mindlin plates are presented. Governing equations are obtained by using Euler-Lagrange equations. The capability of the presented formulations is demonstrated by considering two benchmark problems. In the first problem, a simply supported beam subjected to transverse loading is considered. In the second case, a simply supported Mindlin plate subjected to transverse loading is analyzed. Peridynamic results are compared against finite element solutions and a very good agreement is obtained between the two solutions.

AB - In this chapter, peridynamic formulations for Timoshenko beams and Mindlin plates are presented. Governing equations are obtained by using Euler-Lagrange equations. The capability of the presented formulations is demonstrated by considering two benchmark problems. In the first problem, a simply supported beam subjected to transverse loading is considered. In the second case, a simply supported Mindlin plate subjected to transverse loading is analyzed. Peridynamic results are compared against finite element solutions and a very good agreement is obtained between the two solutions.

KW - Euler-Lagrange equations

KW - Mindlin plate

KW - Nonlocal

KW - Peridynamics

KW - Timoshenko beam

UR - https://www.scopus.com/pages/publications/85126818105

U2 - 10.1016/B978-0-12-820069-8.00006-8

DO - 10.1016/B978-0-12-820069-8.00006-8

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SP - 97

EP - 112

BT - Peridynamic Modeling, Numerical Techniques, and Applications

PB - Elsevier

ER -

Beam and plate models in peridynamics

Abstract

Keywords

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