One-dimensional nonlocal and gradient elasticity: Closed-form solution and size effect

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Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory (2017, unknown): “This softening eﬀect of the Eringen’s nonlocality has been previously reported in the literature for static behavior of rods subjected to axial loads (Benvenuti and Simone, 2013).”
Nonlocal elasticity in nanobeams: the stress-driven integral model (2017, methodology): “In order to get well-posed problems, adjustments were proposed in Pisano and Fuschi (2003) , Challamel and Wang (2008) , Benvenuti and Simone (2013) and Khodabakhshi and Reddy (2015) by following the idea of a local-nonlocal mixture early contributed in Eringen (1972 , 1987) Further models, based…”
Stress-driven versus strain-driven nonlocal integral model for elastic nano-beams (2017, background): “[18] by assuming a uniform local elastic compliance C 1⁄4 E 1:”