Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects

Abstract In this study, the static bending behaviour of a size-dependent thick beam is considered including FGM (Functionally Graded Materials) effects. The presented theory further development and extension space-fractional (non-local) Euler–Bernoulli model (s-FEBB) to Timoshenko (s-FTB) one by proper taking into account shear deformation. Furthermore, detailed parametric study on influence length scale order fractional continua for different boundary conditions demonstrates, how non-locality affects response s-FTB model. differences in results between s-FEBB models are shown as well indicate when deformations need be considered. Finally, material parameter identification validation based SU-8 polymer microbeams confirm effectiveness