Multi-scale boundary element modelling of material degradation and fracture

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The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals (2009, background): “Such formulations have been adapted in damage nucleation models (Arata et al., 2002; Hao et al., 2003, 2004; Clayton and McDowell, 2004; Sfantos and Aliabadi, 2007; Kabir et al., 2007).”
A three-dimensional cohesive-frictional grain-boundary micromechanical model for intergranular degradation and failure in polycrystalline materials (2013, methodology): “the analysis of polycrystalline microstructures and their failure processes, both in two and three dimensions [5]: among different approaches, multiscale methods appear to be the most promising, as they are able to bring together and link the diverse scales acting in the initiation and evolution of ”
Computational homogenization for heterogeneous thin sheets (2010, methodology): “g the finite element method [18, 22, 23, 25], the boundary element method [27], the Voronoi cell method [16, 17], a crystal plasticity framework [19, 20] or numerical methods based on Fast Fourier Transforms [21, 28] and Transformation Field Analysis [29].”
Micromechanics of spatially uniform heterogeneous media: A critical review and emerging approaches (2009, background): “[110], Qin [132], Otani and Nishimura [111], Sfantos and Aliabadi [144], as well as the discrete Fourier transform approach [76,108].”