A state-based peridynamic formulation for functionally graded Euler-Bernoulli beams

Yang, Zhenghao and Oterkus, Erkan and Oterkus, Selda (2020) A state-based peridynamic formulation for functionally graded Euler-Bernoulli beams. CMES - Computer Modeling in Engineering and Sciences, 124 (2). pp. 527-544. ISSN 1526-1506

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    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.