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 …
slender structures. Prestrained elastic plates show spontaneous bending in equilibrium—a …
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
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 …
of the periodic assembling of two elastoplastic phases, as the periodicity parameter …
Spectral and evolution analysis of composite elastic plates with high contrast
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 …
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
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 …
microstructure resulting from the periodic alternation of two elastoplastic phases. We study …
Small‐amplitude homogenization of elastic plates via H‐measures
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 …
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
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 …
of linear partial differential equations describing thin infinite elastic rods with material …
A poroelastic plate model obtained by simultaneous homogenization and dimension reduction
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 …
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 …
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 …
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 …
Stokes equation. We consider two small parameters: the thickness h of the thin plate and the …