A new two-dimensional polydisperse model for testing multiphase composites is developed.
The verification of the model is carried out based on the microstructure of two composites …

The article is devoted to recently established connection between the packing problem of
disks on torus and the effective conductivity of composites with circular inclusions. The …

Optimal packing is applied in physics for investigation of macroscopic properties of
composites and porous media. The present paper demonstrates that the optimal packing of …

The overwhelming majority of mathematical problems, describing realistic systems and
processes, contain two parts: first, the problem needs to be characterized by an effective …

Mixing and blending systems are used to achieve uniformity and consistency in the nano-
material for additive manufacturing of 3D parts. The desired properties of nanomaterial …

The $\mathbb R $-linear boundary value problem in a multiply connected domain on a flat
torus is considered. This problem is closely related to the Riemann-Hilbert problem on …

The R-linear boundary value problem in a multiply connected domain on a flat torus is
considered. This problem is closely related to the Riemann-Hilbert problem on analytical …

The article is devoted to the recently established connection between the problem of
packing disks on a torus and the effective conductivity of composites with circular inclusions …