5 papers
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…
An operator-asymptotic approach to periodic homogenization for equations of linearized elasticity
Yi-Sheng Lim, Josip Žubrinić
We present an operator-asymptotic approach to the problem of homogenization of periodic composite media in the setting of three-dimensional linearized elasticity. This is based on…
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…
Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast
Kirill Cherednichenko, Igor Velčić, Josip Žubrinić
We provide resolvent asymptotics as well as various operator-norm estimates for the system of linear partial differential equations describing the thin infinite elastic rod with ma…