Couple stress based strain gradient theory for elasticity

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A size-dependent model for functionally graded micro-plates for mechanical analyses (2013, background): “Yang et al. (2002) suggested the necessity of consideration of the equilibrium equation of moments of couples for material elements.”
Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates (2019, methodology): “[13], the constitutive equation for the stress and strain tensor, respectively, are defined as:”
Size-dependent generalized thermoelasticity using Eringen's nonlocal model (2015, background): “In these cases, the classical elasticity theory should be modified by introducing additional material length scale parameters, and comes to the non-classical elasticity, of which the widely adopted models contain: nonlocal elasticity proposed by Eringen (2002), gradient elasticity proposed by Aifant”
Longitudinal vibration analysis for microbars based on strain gradient elasticity theory (2014, background): “Modified couple stress theory is a higher-order continuum theory which has been elaborated by Yang et al. (2002).”
Buckling analysis of functionally graded microbeams based on the strain gradient theory (2013, background): “[16], which contains a new higher-order equilibrium relation for moments of couples in addition to well-known classical equilibrium relations for forces and moments of forces and only one additional material length scale parameter.”