Homogenization of the nonlinear Maxwell model of viscoelasticity and of the Prandtl—Reuss model of elastoplasticity
نویسندگان
چکیده
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Homogenization of the nonlinear Maxwell model of viscoelasticity and of the Prandtl–Reuss model of elastoplasticity
here we denote by σ the stress tensor, by ε the linearized strain tensor, by B(x) the compliance tensor and by ∂φ(·, x) the subdifferential of a convex function φ(·, x). This relation accounts for elasto-viscoplasticity, including a nonlinear version of the classical Maxwell model of viscoelasticity and the Prandtl–Reuss model of elastoplasticity. The constitutive law is coupled with the equati...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2008
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210506000709