Buckling analysis of Euler–Bernoulli beams using Eringen’s two-phase nonlocal model

The inconsistency of Eringen’s nonlocal differential model, as applied to investigate nanostructures, has recently triggered the study of nonlocal integral models. In this paper we adopt Eringen’s two-phase nonlocal integral model to carry out an analytical study on the buckling problem of Euler-Bernoulli beams. By using a reduction method rigorously proved in the previous work, the resulting integro-differential equation for the problem is...