arXiv subjects

V. A. Goloveshkin

Publications and source records attributed to V. A. Goloveshkin.

4 recordsLinked to original sources

arXiv2023

Solutions of the (3 + 1) dimensional Charney-Obukhov equation for the ocean, Part I: case of "separation'' of variables

Exact solutions describing Rossby waves and vortices in ocean propagating along the zonal direction at a constant velocity are considered for the (3+1)-dimensional nonlinear Charney-Obukhov equation. In the first part of our work, we give examples of solutions of the Charney-Obukhov equation that satisfy the nonlinear boundary conditions of the ocean, for a special case that corresponds to the "separation" of variables.

math.AP↗

arXiv2018

Fragmentation model of a rapidly expanding ring with arbitrary cross-section

In the paper (Goloveshkin and Myagkov 2014) we proposed a two-dimensional energy-based model of fragmentation of rapidly expanding cylinder under plane strain conditions. The model allowed one to estimate the average fragment length and the number of fragments produced by ductile fracture of the cylinder. In present note we show that the proposed approach can be used to estimate the number of fragments in a problem of fragmentation of a rapidly expanding ring with arbitrary cross-section.

physics.class-ph↗

arXiv2016

Estimate of the number of fragments formed during the rapid radial expansion of a ring

In recent paper (Goloveshkin and Myagkov 2014) we proposed a two-dimensional energy-based model of fragmentation of rapidly expanding cylinder under plane strain conditions. The model allowed one to estimate the average fragment length and the number of fragments produced by ductile fracture of the cylinder. In present note we show that the proposed approach can be used to estimate the number of fragments in a problem of fragmentation of an expanding ring.

cond-mat.soft↗

arXiv2013

Fragmentation model for expanding cylinder

A two-dimensional energy-based model of fragmentation of rapidly expanding cylinder under plane strain conditions is proposed. The model allows us to estimate the average fragment length and the number of fragments produced by ductile fracture of the cylinder. Comparison of obtained results with published experimental data on the fragmentation of the aluminum rings and cylinders shows that they are in good agreement.

cond-mat.mtrl-sci↗