Analysis of functionally graded Timoshenko beams by using peridynamics

Yang, Zhenghao and Oterkus, Erkan and Oterkus, Selda (2020) Analysis of functionally graded Timoshenko beams by using peridynamics. Journal of Peridynamics and Nonlocal Modeling. ISSN 2522-8978 (In Press)

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    Abstract

    In this study, a new peridynamic formulation is presented for functionally graded Timoshenko beams. The governing equations of the peridynamic formulation are obtained by utilising Euler-Lagrange equation and Taylor’s expansion. The proposed formulation is validated by considering a Timoshenko beam subjected to different boundary conditions including pinned support – roller support, clamped – roller support, and clamped – free boundary conditions. Results from peridynamics are compared against finite element analysis results. A very good agreement is obtained for transverse displacements, rotations and axial displacements along the beam.