“…Strain gradient plasticity has been applied by several others to help understand microbend tests (Shi et al, 2008), plasticity (Abu-Al-Rub, 2008;Abu-Al-Rub and Voyiadjis, 2006;Qu et al, 2006;Volokh and Trapper, 2007;Wang et al, 2007), hardening effects (Abu-Al-Rub, 2008;Zhang et al, 2007), interface fracture and plasticity (Abu-Al-Rub, 2008;Siddiq et al, 2007) and the Taylor dislocation model (Hwang et al, 2004;Liu et al, 2005). The main concern is that the dissipative energy associated with even small oscillatory displacements of sharp tips could result in different properties (Cordill, 2007;Cordill et al, 2008), particularly with regard to dislocation nucleation and theoretical shear stress determinations. For example, at the macroscale, it has been known for some time that relatively small resonant-induced displacements on aircraft structures can lead to premature failure.…”