3 papers
math.AP2026
Homogenization of elasto-plastic plate equations with vanishing hardening
Marin BužanÄiÄ, Igor VelÄiÄ, Josip ŽubriniÄ
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…
math.AP2025
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…
math.AP2025
Poroelastic plate model obtained by simultaneous homogenization and dimension reduction
Marin BužanÄiÄ, Pedro Hernandez-Llanos, Igor VelÄiÄ +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…