A Monotonicity Method in Quasistatic Processes for Viscoplastic Materials of the from σ˙ = E ( ε(u˙ ), θ) + F(σ, ε(u), χ, θ )

Abstract

In this paper, we study a quasistatic problem for semilinear rate-type viscoplastic models with two parameters ; may be interpreted as the absolute temperature or an internal state variable. The existence and uniqueness of the solution is proved using monotony arguments followed by a CauchyLipschitz technique.