3 papers
math-ph2017
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(…
math.AP2012
Derivation of a homogenized von-Karman shell theory from 3D elasticity
Peter Hornung, Igor Velcic
We derive the model of homogenized von Kármán shell theory, starting from three dimensional nonlinear elasticity. The original three dimensional model contains two small parameters…
math.AP2012
Derivation of a homogenized nonlinear plate theory from 3d elasticity
Peter Hornung, Stefan Neukamm, Igor Velcic
We derive, via simultaneous homogenization and dimension reduction, the Gamma-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to,…