Open Access

ARTICLE

A State-Based Peridynamic Formulation for Functionally Graded Euler-Bernoulli Beams

Zhenghao Yang, Erkan Oterkus^*, Selda Oterkus

PeriDynamics Research Centre, Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, Glasgow, G4 0LZ, UK

* Corresponding Author: Erkan Oterkus. Email:

Computer Modeling in Engineering & Sciences 2020, 124(2), 527-544. https://doi.org/10.32604/cmes.2020.010804

Received 30 March 2020; Accepted 12 May 2020; Issue published 20 July 2020

Abstract

In this study, a new state-based peridynamic formulation is developed for functionally graded Euler-Bernoulli beams. The equation of motion is developed by using Lagrange’s equation and Taylor series. Both axial and transverse displacements are taken into account as degrees of freedom. Four different boundary conditions are considered including pinned support-roller support, pinned support-pinned support, clamped-clamped and clamped-free. Peridynamic results are compared against finite element analysis results for transverse and axial deformations and a very good agreement is observed for all different types of boundary conditions.

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Keywords

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