Vol.124, No.2, 2020, pp.527-544, doi:10.32604/cmes.2020.010804
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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: erkan.oterkus@strath.ac.uk
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.
Keywords
Peridynamics; Euler-Bernoulli beam; functionally graded; state-based
Cite This Article
Yang, Z., Oterkus, E., Oterkus, S. (2020). A State-Based Peridynamic Formulation for Functionally Graded Euler-Bernoulli Beams. CMES-Computer Modeling in Engineering & Sciences, 124(2), 527–544.
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