Completely monotone fading memory relaxation moduli

Abstract

In linear viscoelasticity, the fundamental model is the Boltzmann causal integral equation σ(t) = ∫-∞t G(t - τ)γ̇(τ)dτ which defines how the stress σ(t) at time t depends on the earlier history of the shear rate γ̇(τ) via the relaxation modu