@inbook{e38b2be05ffa4f10b08adfafb3b3ba9f,
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",
author = "Zhenghao Yang and Erkan Oterkus and Selda Oterkus",
year = "2021",
month = apr,
day = "30",
doi = "10.1016/B978-0-12-820069-8.00006-8",
language = "English",
isbn = "9780128200698",
series = "A volume in Elsevier Series in Mechanics of Advanced Materials",
pages = "97--112",
editor = "Erkan Oterkus and Selda Oterkus and Erdogan Madenci",
booktitle = "Peridynamic Modeling, Numerical Techniques, and Applications",
}