Effective behavior of linear viscoelastic composites: A time-integration approach

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A model-reduction approach in micromechanics of materials preserving the variational structure of constitutive relations (2016, methodology): “After time-discretization, the overall stress σ at time tn+1 derives from the effective potential w̃∆ (Lahellec and Suquet, 2007a,b) (deduced from the local variational principle (10)), σ = ∂w̃∆ ∂ε (ε), w̃∆(ε) = Inf ε∈K(ε) 〈 Inf α J(ε,α) 〉 , (21) where ε is the prescribed macroscopic strain at time…”
On the effective behavior of nonlinear inelastic composites: I. Incremental variational principles (2007, methodology): “The latter problem amounts to finding the effective energy w̃∆ of a composite material with one potential w∆.”