3 citations · 3 across the 6 of their papers we have counts for
7 papers
Homogenisation and spectral convergence of high-contrast convolution type operators
Mikhail Cherdantsev, Andrey Piatnitski, Igor Velcic
The paper deals with homogenisation problems for high-contrast symmetric convolution-type operators with integrable kernels in media with a periodic microstructure. We adapt the tw…
Homogenization of elasto-plastic plate equations with vanishing hardening
Marin Bužančić, Igor Velčić, Josip Žubrinić
We study the asymptotic behavior of thin heterogeneous elastoplastic plates in the framework of linearized elastoplasticity, focusing on the regime where the plate thickness vanish…
Poroelastic plate model obtained by simultaneous homogenization and dimension reduction
Marin Bužančić, Pedro Hernandez-Llanos, Igor Velčić +1
In this paper, the starting point of our analysis is a coupled system of linear elasticity and Stokes equation. We consider two small parameters: the thickness of the thin plat…
Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II
Kirill Cherednichenko, Alexander Kiselev, Igor Velčić +1
We construct an order-sharp theory for a double-porosity model in the full linear elasticity setup. Crucially, we uncover time and frequency dispersive properties of highly oscilla…
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes
Marin Bužančić, Elisa Davoli, Igor Velčić
We identify effective models for thin, linearly elastic and perfectly plastic plates exhibiting a microstructure resulting from the periodic alternation of two elastoplastic phases…
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
Marin Bužančić, Elisa Davoli, Igor Velčić
An effective model is identified for thin perfectly plastic plates whose microstructure consists of the periodic assembling of two elastoplastic phases, as the periodicity paramete…
Eigenfunctions localised on a defect in high-contrast random media
Matteo Capoferri, Mikhail Cherdantsev, Igor Velčić
We study the properties of eigenvalues and corresponding eigenfunctions generated by a defect in the gaps of the spectrum of a high-contrast random operator. We consider a family o…