Torsional surface waves in a gradient-elastic half-space

By H. Georgiadis, I. Vardoulakis, G. Lykotrafitis. 2000

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Dispersive Rayleigh-Wave Propagation in Microstructured Solids Characterized by Dipolar Gradient Elasticity (2004, result): “Here, although complexity of the theory has been kept at the minimum by retaining a restricted number of material parameters (i.e., the Lame constants (λ, µ), the gradient coefficient c and the surface-energy coefficient b), a micro-inertia term was included because previous experience with gradient”
A new formulation and 𝒞0‐implementation of dynamically consistent gradient elasticity (2007, methodology): “Implementational aspects Physically realistic results have been obtained with the model of Equation (2) using one-dimensional dispersion analysis [10] and integral transformation methods [11, 12, 24].”
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results (2011, unknown): “(7), see also (Georgiadis et al., 2000).”
Elasticity Theories with Higher-order Gradients of Inertia and Stiffness for the Modelling of Wave Dispersion in Laminates (2007, background): “in ( Georgiadis et al., 2000 ) and in (Metrikine and Askes, 2002); all of these gradient theories can be seen as special cases of the generic formulation of Mindlin (1964).”