Higher order asymptotic homogenization and wave propagation in periodic composite materials

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Equivalent models of corrugated panels (2012, background): “, 2011), topology optimisation (Allaire, 2001; Bendsoe and Kikuchi, 1998) and waves propagation in periodic media (Ruzzene and Baz, 2000; Andrianov et al., 2008; Gonella and Ruzzene, 2008).”
High-frequency homogenization for periodic media (2010, methodology): “This usually implies slow variation of relevant fields both on the microscale and macroscale, which limits the applicability of the associated expansions to low frequency situations, see e.g. Parnell & Abrahams (2006) or Andrianov et al. (2008).”
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results (2011, result): “(Askes et al., 2002; Metrikine and Askes, 2002). The sign of the gradient term and the issues of uniquenss and stability versus the ability to describe dispersive wave propagation have led to a lot of discussion, see for instance the early study of Mindlin and Tiersten (1962) and more recently Yang ”