Asymptotic Homogenization of Composite Materials and Structures

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Multiscale isogeometric topology optimization for lattice materials (2017, background): “On the other hand, homogenization methods (HMs), especially asymptotic homogenization (AH), have been proved to be able to rigorously predict the mechanical behavior of periodic materials [10-13].”
Homogenization and dimensional reduction of composite plates with in-plane heterogeneity (2011, unknown): “…stress analysis of a representative volume element (Sun and Vaidya, 1996), variational asymptotic method for unit cell homogenization (VAMUCH) (Yu, 2005; Yu and Tang, 2007), and many others (see, e.g. Hollister and Kikuchi (1992), Kalamkarov et al. (2009), Kanouté et al. (2009) for a review).”
Mechanical properties of lattice materials via asymptotic homogenization and comparison with alternative homogenization methods (2013, methodology): “and (iii) topology optimization problems, as described in the work of Hassani and Hinton [39], and Liu et al.”
Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, methodology): “The asymptotic homogenization method was continuously developed and nowadays, it still is a very popular research topic [12, 17, 51, 98, 116].”