Search Results - "Mityushev, Vladimir"

Lattice sums for double periodic polyanalytic functions by Drygaś, Piotr, Mityushev, Vladimir

“…In 1892, Lord Rayleigh estimated the effective conductivity of rectangular arrays of disks and proved, employing the Eisenstein summation, that the lattice sum…”
Get full text

Random 2D Composites and the Generalized Method of Schwarz by Mityushev, Vladimir

“…Two-phase composites with nonoverlapping inclusions randomly embedded in matrix are investigated. A straightforward approach is applied to estimate the…”
Get full text

Optimal Random Packing of Spheres and Extremal Effective Conductivity by Mityushev, Vladimir, Zhunussova, Zhanat

“…A close relation between the optimal packing of spheres in Rd and minimal energy E (effective conductivity) of composites with ideally conducting spherical…”
Get full text

Conductivity of a two-dimensional composite containing elliptical inclusions by Mityushev, Vladimir

“…We develop a method of functional equations to derive analytical approximate formulae for the effective conductivity tensor of the two-dimensional composites…”
Get full text

Simulating local fields in carbon nanotube-reinforced composites for infinite strip with voids by Nasser, Mohamed M. S., Kalmoun, El Mostafa, Mityushev, Vladimir, Rylko, Natalia

“…A numerical simulation of the thermal properties is conducted for an isotropic and homogeneous infinite strip composite reinforced by carbon nanotubes (CNTs)…”
Get full text

A criterion of collective behavior of bacteria by Czapla, Roman, Mityushev, Vladimir V

“…It was established in the previous works that hydrodynamic interactions between the swimmers can lead to collective motion. Its implicit evidences were…”
Get more information

Effective Conductivity of Densely Packed Disks and Energy of Graphs by Nawalaniec, Wojciech, Necka, Katarzyna, Mityushev, Vladimir

“…The theory of structural approximations is extended to two-dimensional double periodic structures and applied to determination of the effective conductivity of…”
Get full text

A fast algorithm for computing the flux around non-overlapping disks on the plane by Mityushev, Vladimir, Rylko, Natalia

“…Conductivity of n non-overlapping disks embedded in a two-dimensional background can be investigated by the method of images which is based on the successive…”
Get full text

Neutral coated inclusions of finite conductivity by Jarczyk, Pawe, Mityushev, Vladimir

“…We discuss the conductivity of two-dimensional media with coated neutral inclusions of finite conductivity. Such an inclusion, when inserted in a matrix, does…”
Get full text

Contrast Expansion Method for Elastic Incompressible Fibrous Composites by Drygaś, Piotr, Mityushev, Vladimir

“…Contrast parameter expansion of the elastic fields for 2D composites is developed by Schwarz’s method and by the method of functional equations for the case of…”
Get full text

Asymptotic behavior of the longitudinal permeability of a periodic array of thin cylinders by Paolo Musolino, Vladimir Mityushev

“…We consider a Newtonian fluid flowing at low Reynolds numbers along a spatially periodic array of cylinders of diameter proportional to a small nonzero…”
Get full text

Effective properties of two-dimensional dispersed composites. Part II. Revision of self-consistent methods by Mityushev, Vladimir

“…The generalized alternating method of Schwarz was applied to boundary value problems for a multiply connected domain in the prior work Part I [62]. Approximate…”
Get full text

Electrokinetic phenomena in wavy channels by Malevich, Alexander E., Mityushev, Vladimir V., Adler, Pierre M.

“…Electroosmotic flows are studied in wavy channels by expanding the solution into a double series for a binary dilute electrolyte. Electroosmotic flows are…”
Get full text

Effective properties of two-dimensional dispersed composites. Part I. Schwarz's alternating method by Mityushev, Vladimir, Rylko, Natalia

“…•Alternating method of Schwarz is developed for dispersed composites.•A symbolic-numerical algorithm is analyzed.•New analytical formulas for the effective…”
Get full text

Optimal and stable random pattern formations by Mityushev, Vladimir

“…•Graph model to describe the vast range of patterns is developed.•Optimal graphs which determine biological structures are described.•It is explained why…”
Get full text

Pattern formations and optimal packing by Mityushev, Vladimir

“…•A connection between pattern formations and optimal random packing is established.•All the optimal structures are precisely described.•Random optimal packings…”
Get full text

Effective conductivity of a random suspension of highly conducting spherical particles by Mityushev, Vladimir, Nawalaniec, Wojciech

“…Randomly distributed non-overlapping perfectly conducting spheres are embedded in a conducting matrix with the concentration of inclusions f. Jeffrey (1973)…”
Get full text

Transport properties of two–dimensional composite materials with circular inclusions by Mityushev, Vladimir

“…We consider the transport properties of a two–dimensional, two–component, composite medium made from a collection of non–overlapping, identical, circular…”
Get full text

Study of anisotropy in polydispersed 2D micro and nano-composites by Elbow and K-Means clustering methods by Rylko, Natalia, Stawiarz, Michał, Kurtyka, Pawel, Mityushev, Vladimir

“…A new two-dimensional polydisperse model for testing multiphase composites is developed. The verification of the model is carried out based on the…”
Get full text

Basic sums and their random dynamic changes in description of microstructure of 2D composites by Mityushev, Vladimir, Nawalaniec, Wojciech

“…[Display omitted] •Justification of the new approach to composites based on the special sums.•Analytical formulae for conductivity.•Fast determination of the…”
Get full text