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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: email

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

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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APA Style
Yang, Z., Oterkus, E., Oterkus, S. (2020). A state-based peridynamic formulation for functionally graded euler-bernoulli beams. Computer Modeling in Engineering & Sciences, 124(2), 527-544. https://doi.org/10.32604/cmes.2020.010804
Vancouver Style
Yang Z, Oterkus E, Oterkus S. A state-based peridynamic formulation for functionally graded euler-bernoulli beams. Comput Model Eng Sci. 2020;124(2):527-544 https://doi.org/10.32604/cmes.2020.010804
IEEE Style
Z. Yang, E. Oterkus, and S. Oterkus "A State-Based Peridynamic Formulation for Functionally Graded Euler-Bernoulli Beams," Comput. Model. Eng. Sci., vol. 124, no. 2, pp. 527-544. 2020. https://doi.org/10.32604/cmes.2020.010804



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