Dimension reduction analysis of a three-dimensional thin elastic plate reinforced with fractal ribbons

Asymptotic behavior of solutions to PDEs (35B40) Fractals (28A80) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Insulating layers and Robin problems on Koch mixtures
Asymptotically sharp weight korn's inequality for thin-walled elastic structures
Reinforcement problems for variational inequalities on fractal sets
Homogenization for conductive thin layers of pre-fractal type
Fractal reinforcement of elastic membranes
Boundary value problems and Brownian motion on fractals
Dirichlet forms and symmetric Markov processes
An introduction to \(\Gamma\)-convergence
Energy form on a closed fractal curve
Singular \(p\)-homogenization for highly conductive fractal layers
Homogenization of a quasilinear elliptic problem in a fractal-reinforced structure
Asymptotic analysis of an elastic material reinforced with thin fractal strips
Insulating layers of fractal type.
Layered fractal fibers and potentials
Dynamical Quasi-Filling Fractal Layers
Thin fractal fibers
Large elastic deformations of isotropic materials X. Reinforcement by inextensible cords
On the resistance of the Sierpiński carpet
Mesures associées à une forme de Dirichlet. Applications
The dual of Besov spaces on fractals
Homogenization of elastic materials reinforced by rigid notched fibres
Homogenization of elastic materials containing self-similar microcracks
Local and non-local Dirichlet forms on the Sierpiński carpet
Homogenization of an elastic material reinforced with thin rigid von Kármán ribbons
Resistance and spectral dimension of Sierpinski carpets