Stochastic homogenisation of high-contrast media
نویسندگان
چکیده
منابع مشابه
High contrast homogenisation in nonlinear elasticity under small loads
We study the homogenisation of geometrically nonlinear elastic composites with high contrast. The composites we analyse consist of a perforated matrix material, which we call the “stiff” material, and a “soft” material that fills the remaining pores. We assume that the pores are of size 0 < ε 1 and are periodically distributed with period ε. We also assume that the stiffness of the soft materia...
متن کاملStochastic Homogenisation of Singularly Perturbed Integral Functionals
We study the relative impact of small-scale random inhomogeneities and singular perturbations in nonlinear elasticity. More precisely, we analyse the asymptotic behaviour of the energy functionals Fε(ω)(u) = ∫ A ( f ( ω, x ε ,Du ) + ε|∆u| ) dx, where ω is a random parameter and ε > 0 denotes a typical length-scale associated with the variations in the elastic properties of the body. For f stati...
متن کاملStochastic Homogenisation of Singularly Perturbed Integral Functionals
We study the relative impact of small-scale random inhomogeneities and singular perturbations in nonlinear elasticity. More precisely, we analyse the asymptotic behaviour of the energy functionals Fε(ω)(u) = ∫ A ( f ( ω, x ε ,Du ) + ε|∆u| ) dx, where ω is a random parameter and ε > 0 denotes a typical length-scale associated with the variations in the elastic properties of the body. For f stati...
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ژورنال
عنوان ژورنال: Applicable Analysis
سال: 2018
ISSN: 0003-6811,1563-504X
DOI: 10.1080/00036811.2018.1495327