[HTML][HTML] Variational approach to modeling soft and stiff interfaces in the Kirchhoff-Love theory of plates

A Furtsev, E Rudoy - International Journal of Solids and Structures, 2020 - Elsevier
Within the framework of the Kirchhoff-Love theory, a thin homogeneous layer (called
adhesive) of small width between two plates (called adherents) is considered. It is assumed …

[HTML][HTML] Equilibrium problem for elastic body with delaminated T-shape inclusion

A Khludnev, T Popova - Journal of Computational and Applied Mathematics, 2020 - Elsevier
We analyze an equilibrium problem for 2D elastic body with a T-shape thin inclusion in
presence of damage. A part of the inclusion is elastic, and the other part is a rigid one. A …

Junction problem for rigid and Timoshenko elastic inclusions in elastic bodies

AM Khludnev, L Faella… - … and Mechanics of Solids, 2017 - journals.sagepub.com
This paper concerns an equilibrium problem for a two-dimensional elastic body with a thin
Timoshenko elastic inclusion and a thin rigid inclusion. It is assumed that the inclusions …

T-shape inclusion in elastic body with a damage parameter

A Khludnev - Journal of Computational and Applied Mathematics, 2021 - Elsevier
We consider an equilibrium problem for a 2D elastic body with a thin elastic T-shape
inclusion. A part of the inclusion is delaminated from the elastic body forming a crack …

Optimal control of parameters for elastic body with thin inclusions

A Khludnev, AC Esposito, L Faella - Journal of Optimization Theory and …, 2020 - Springer
In this paper, an equilibrium problem for 2D non-homogeneous anisotropic elastic body is
considered. It is assumed that the body has a thin elastic inclusion and a thin rigid inclusion …

Junction of a periodic family of elastic rods with a thin plate. Part II

D Blanchard, A Gaudiello, G Griso - Journal de mathématiques pures et …, 2007 - Elsevier
In this second paper, we consider again a set of elastic rods periodically distributed over an
elastic plate whose thickness tends here to 0. This work is then devoted to describe the …

Junction problem for Euler-Bernoulli and Timoshenko elastic inclusions in elastic bodies

A Khludnev, T Popova - Quarterly of Applied Mathematics, 2016 - ams.org
In the paper, we consider an equilibrium problem for a 2D elastic body with thin Euler-
Bernoulli and Timoshenko elastic inclusions. It is assumed that inclusions have a joint point …

[HTML][HTML] Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control

A Khludnev, T Popova - Computers & Mathematics with Applications, 2019 - Elsevier
The paper concerns an analysis of an equilibrium problem for 2D elastic body with two
semirigid inclusions. It is assumed that inclusions have a joint point, and we investigate a …

Boundary homogenization and reduction of dimension in a Kirchhoff–Love plate

D Blanchard, A Gaudiello, TA Mel'Nyk - SIAM Journal on Mathematical …, 2008 - SIAM
We investigate the asymptotic behavior, as ε tends to 0^+, of the transverse displacement of
a Kirchhoff–Love plate composed of two domains \Omega_ε^+∪Ω^-_ε⊂\mathbbR^2 …

Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure

A Gaudiello, G Panasenko… - Communications in …, 2016 - World Scientific
In the paper, we consider the Dirichlet boundary value problem for the biharmonic equation
defined in a thin T-like shaped structure. Our goal is to construct an asymptotic expansion of …