Beam Bending Solutions Based on Nonlocal Timoshenko Beam Theory

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Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory (2017, unknown): “…obtained from the Eringen diﬀerential model regarding a cantilever beam when compared to other boundary conditions, both for the static (Peddieson et al., 2003; Wang and Liew, 2007; Challamel and Wang, 2008; Wang et al., 2008; Challamel et al., 2014) and vibrational behaviour (Lu et al., 2006).”
Variational analysis of gradient elastic flexural plates under static loading (2010, unknown): “, 2003; Park and Gao, 2006), non-local elasticity (Pisano and Fuschi, 2003; Reddy, 2007;Wang et al., 2008) and other generalized elasticity (Lakes, 1995) theories.”
Bending analysis of microtubules using nonlocal Euler–Bernoulli beam theory (2011, background): “It is also accepted that some mechanical properties such as vibration, bending and buckling of beam like micro structures based on nonlocal elasticity theory are entirely different from their counterparts based on the classical (macro) beam theory [22–36].”