LAUSR

Abstract This paper is concentrated on the non-local bending analysis of nanobeams and the improvement of the space-Fractional Euler-Bernoulli beam (s-FEBB) theory. A new kinematics is proposed for s-FEBB and a numerical algorithm is developed to enable the introduction of a variable length scale, arbitrary boundary conditions, and arbitrary transverse load conditions. The obtained results indicate that the scale effect depends on boundary conditions and the distribution of the length scale as well as the order of fractional continua. Moreover, the identification and validation based on silver nanobeam bending experimental tests confirmed the capability of the proposed fractional model to capture the measurements.