Open AccessA Monotonicity Method in Quasistatic Processes for Viscoplastic Materials of the from σ˙ = E ( ε(u˙ ), θ) + F(σ, ε(u), χ, θ )
Author(s) -
Farid Messelmi,
Abdelbaki Merouani
Publication year - 2013
Publication title -
international journal of open problems in computer science and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2079-0376
pISSN - 1998-6262
DOI - 10.12816/0006171
Subject(s) - quasistatic process , viscoplasticity , mathematics , monotonic function , mathematical analysis , thermodynamics , constitutive equation , physics , finite element method
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.
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