activity
20132021
most citedExtreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect

3 citations · 4 across the 4 of their papers we have counts for

collaborators
Showing math.APShow all

3 papers · 1 filter

math.AP2021

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…

math.AP2015

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…

math.AP2013★ 1 cited

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 "…