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.
|Number of pages||20|
|Journal||Journal of Peridynamics and Nonlocal Modeling|
|Publication status||Accepted/In press - 21 Sep 2020|
- Timoshenko beam
- functionally graded
- non local