A homogenized bending theory for prestrained plates

K Böhnlein, S Neukamm, D Padilla-Garza… - Journal of Nonlinear …, 2023 - Springer
The presence of prestrain can have a tremendous effect on the mechanical behavior of
slender structures. Prestrained elastic plates show spontaneous bending in equilibrium—a …

Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure

M Bužančić, E Davoli, I Velčić - Calculus of variations and partial …, 2024 - Springer
An effective model is identified for thin perfectly plastic plates whose microstructure consists
of the periodic assembling of two elastoplastic phases, as the periodicity parameter …

Spectral and evolution analysis of composite elastic plates with high contrast

M Bužančić, K Cherednichenko, I Velčić, J Žubrinić - Journal of elasticity, 2022 - Springer
We analyse the behaviour of thin composite plates whose material properties vary
periodically in-plane and possess a high degree of contrast between the individual …

Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes

M Bužančić, E Davoli, I Velčić - Advances in Calculus of Variations, 2024 - degruyter.com
We identify effective models for thin, linearly elastic and perfectly plastic plates exhibiting a
microstructure resulting from the periodic alternation of two elastoplastic phases. We study …

Small‐amplitude homogenization of elastic plates via H‐measures

N Antonić, K Burazin, J Jankov - ZAMM‐Journal of Applied …, 2022 - Wiley Online Library
Small‐amplitude homogenization is a procedure for computing the first correction in the
homogenization limit. By using H‐measures, we calculate the first correction in the small …

Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast

K Cherednichenko, I Velčić, J Žubrinić - Calculus of variations and partial …, 2023 - Springer
We provide resolvent asymptotics as well as various operator-norm estimates for the system
of linear partial differential equations describing thin infinite elastic rods with material …

A poroelastic plate model obtained by simultaneous homogenization and dimension reduction

M Bužančić, P Hernandez-Llanos, I Velčić… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper, the starting point of our analysis is coupled system of elasticity and Stokes
equation. We consider two small parameters: the thickness $ h $ of the thin plate and the …

Homogenization of elastic plate equation∗

K Burazin, J Jankov, M Vrdoljak - Mathematical Modelling and Analysis, 2018 - jau.vgtu.lt
We are interested in general homogenization theory for fourth-order elliptic equation
describing the Kirchhoff model for pure bending of a thin solid symmetric plate under a …

Sharp operator‐norm asymptotics for thin elastic plates with rapidly oscillating periodic properties

K Cherednichenko, I Velčić - Journal of the London …, 2022 - Wiley Online Library
We analyse a system of partial differential equations describing the behaviour of an elastic
plate with periodic moduli in the two planar directions, in the asymptotic regime when the …

[PDF][PDF] Poroelastic plate model obtained by simultaneous homogenization and dimension reduction

M Buzancic, P Hernández-Llanos, I Velcic… - arXiv preprint arXiv …, 2024 - researchgate.net
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 h of the thin plate and the …