activity
20182025
most citedGeneralized Einstein's and Brinkman's solutions for the effective viscosity of nanofluids

12 citations · 14 across the 7 of their papers we have counts for

collaborators

7 papers

cond-mat.other2025

On the influence of powder particle size on single-track formation in laser powder bed fusion of AlSi10Mg alloy

Y. Solyaev, V. Dobryanskiy, Nguyen Long +1

In this paper, we present the results of single-track experiments conducted for different fractions of standard AlSi10Mg powder, which were sieved to achieve varying mean size of t…

cond-mat.mtrl-sci2023★ 1 cited

Self-consistent homogenization approach for polycrystals within second gradient elasticity

Yury Solyaev

In this paper, we propose a generalized variant of Kröner's self-consistent scheme for evaluation of the effective standard and gradient elastic moduli of polycrystalline materials…

physics.class-ph2022★ 1 cited

Complete general solutions for equilibrium equations of isotropic strain gradient elasticity

Yury Solyaev

In this paper, we consider isotropic Mindlin-Toupin strain gradient elasticity theory in which the equilibrium equations contain two additional length-scale parameters and have the…

cond-mat.other2022

Gradient models of moving heat sources for powder bed fusion applications

Y. O. Solyaev, S. A. Lurie

In this paper, we derive closed form solutions for the quasi-stationary problems of moving heat sources within the gradient theory of heat transfer. This theory can be formally ded…

cond-mat.mtrl-sci2021

Self-consistent assessments for the effective properties of two-phase composites within strain gradient elasticity

Y. O. Solyaev

Analytical method for the second-order homogenization of two-phase composites within Mindlin-Toupin strain gradient elasticity theory is proposed. Direct approach and self-consiste…

cond-mat.soft2020★ 12 cited

Generalized Einstein's and Brinkman's solutions for the effective viscosity of nanofluids

Y. O. Solyaev, S. A. Lurie, N. A. Semenov

In this paper, we derive the closed form analytical solutions for the effective viscosity of the suspensions of solid spheres that take into account the size effects. This result i…

physics.class-ph2018

Analytical solution of a plane strain pure bending problem in second gradient electroelasticity

Yury Solyaev, Sergey Lurie

Semi-inverse analytical solution of a pure bending problem for piezoelectric layer is developed in the framework of linear electroelasticity theory with strain gradient and electri…