3 citations · 4 across the 4 of their papers we have counts for
5 papers
High-contrast random composites: homogenisation framework and new spectral phenomena
Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić
We develop a framework for multiscale analysis of elliptic operators with high-contrast random coefficients. For a general class of such operators, we provide a detailed spectral a…
Stochastic homogenisation of high-contrast media
Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić
Using a suitable stochastic version of the compactness argument of [V. V. Zhikov, 2000. On an extension of the method of two-scale convergence and its applications. Sb. Math., 191(…
Extreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect
Mikhail Cherdantsev, Kirill Cherednichenko, Shane Cooper
Following a number of recent studies of resolvent and spectral convergence of non-uniformly elliptic families of differential operators describing the behaviour of periodic composi…
Bending of thin periodic plates
Mikhail Cherdantsev, Kirill Cherednichenko
We show that nonlinearly elastic plates of thickness with an -periodic structure such that exhibit non-standard behaviour in the asym…
High contrast homogenisation in nonlinear elasticity under small loads
Mikhail Cherdantsev, Kirill Cherednichenko, Stefan Neukamm
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 "…