Multi-scale second-order computational homogenization of multi-phase materials : a nested finite element solution strategy

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Multi-scale boundary element modelling of material degradation and fracture (2007, methodology): “Multi-scale homogenization methods provide the advantage of modelling a specific material at different scales simultaneously [6—9].”
Computational multiscale modelling of heterogeneous material layers (2009, methodology): “This consists of a nested solution scheme [11] involving both the macro- and the microlevel boundary value problems, which are solved iteratively by means of the nonlinear finite-element method.”
Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation (2012, neutral): “[4, 5, 6], Kaczmarczyk et al.”