The role of interfaces in enhancing the yield strength of composites and polycrystals

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A mathematical basis for strain-gradient plasticity theory. Part II: Tensorial plastic multiplier (2009, methodology): “One possibility is to write these contributions to the free energy in terms of scalar invariants of the arguments, as has been done for a deformation theory of plasticity by Fleck and Willis (2004), and Aifantis and Willis (2005, 2006).”
Interfaces in crystalline materials (2009, background): “(2a) the plastic strain in the bicrystal is obtained as [1]:”
A physically based gradient plasticity theory (2006, background): “Initial attempts in these directions have been made by Acharya and Beaudoin (2000), Qiu et al. (2001), Arsenlis et al. (2004), Evers et al. (2004), and Aifantis and Willis (2005).”
Longitudinal vibrations of nano-rods by stress-driven integral elasticity (2019, methodology): “The pioneering continuummechanics based methods, addressing size-dependency of nano-structures, include Eringen strain-driven nonlocal integral theory [5], [6], Mindlin strain gradient theory [7], [8], first-order strain gradient theory [9], [10], second-order strain gradient theory [11]–[13], coupl”
On the gradient approach - Relation to Eringen's nonlocal theory (2011, background): “P) dependence on the grain size within a gradient plasticity framework with interfacial energy (Aifantis & Willis, 2005).”