An enhanced affine formulation and the corresponding numerical algorithms for the mean-field homogenization of elasto-viscoplastic composites

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Homogenization of elasto-(visco) plastic composites based on an incremental variational principle (2012, methodology): “For comparison, we also show results obtained with an incremental tangent method (Doghri and Ouaar, 2003; Pierard and Doghri, 2006b), labeled ‘‘Inc.Tgt’’ in the figures and briefly described in Appendix C.”
Micromechanics of particle-reinforced elasto-viscoplastic composites : Finite element simulations versus affine homogenization (2007, methodology): “A recent implementation of the affine formulation which takes into account internal parameters was presented for two-phase elastoviscoplastic composites in Pierard and Doghri (2006a) and it is the one adopted in this investigation.”