Homogenization of elastic-viscoplastic heterogeneous materials : Self-consistent and Mori-Tanaka schemes

By S. Mercier, A. Molinari. 2009

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An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials (2012, background): “On the other hand, several homogenization theories have being been recently proposed for the more general case of elasto-viscoplastic heterogeneous materials (Lahellec and Suquet, 2007a,b; Mercier and Molinari, 2009; Doghri et al., 2010).”
Multiscale modeling of plasticity based on embedding the viscoplastic self-consistent formulation in implicit finite elements (2012, methodology): “This strategy, originally proposed by Mercier and Molinari (2009), obviously simplifies the determination of the polycrystal’s constitutive behavior, although is less accurate than other, more involved, elasto-viscoplastic selfconsistent formulations recently proposed (e.g. Lahellec and Suquet,…”
A finite strain elastic–viscoplastic self-consistent model for polycrystalline materials (2010, methodology): “Following Molinari et al. (1997) and Mercier and Molinari (2009), using d=d+d, (3.”