The Representative Volume Size in Static and Dynamic Micro-Macro Transitions

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A new formulation and 𝒞0‐implementation of dynamically consistent gradient elasticity (2007, background): “In order to extend the model of Equation (1) such that realistic wave dispersion is obtained while at the same time providing rigorous microstructural backgrounds for the additional parameters, new continualization procedures have been derived [10, 11], see also the more recent multi-dimensional ext”
Elasticity Theories with Higher-order Gradients of Inertia and Stiffness for the Modelling of Wave Dispersion in Laminates (2007, background): “performed in dynamics as well, and an extended set of equations of motion was derived as ( Gitman et al., 2005 )”
On the gradient approach - Relation to Eringen's nonlocal theory (2011, methodology): “(3)3 may be obtained by a slight modification of a ‘‘homogenization’’ argument utilized in Gitman, Askes, and Aifantis (2005).”
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results (2011, methodology): “Such a model was also derived from various micromechanical considerations by Engelbrecht et al. (2005) and Gitman et al. (2005).”
Multiscale aggregating discontinuities: A method for circumventing loss of material stability (2008, unknown): “[6].”