Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2016

Идентификатор DOI: 10.17516/1997-1397-2016-9-4-432-442

Ключевые слова: Elastic membrane, Elliptic boundary value problem, Living cell, Magnetic polarizability

Аннотация: An analytical solution of the problem on elastic deformation of a membrane allows analyzing deformation of typical living cells under the influence of magnetic disks attached to the cells. Based on the numerical solution of two-dimensional elliptic boundary value problems, the magnetic polarizabilities of the disks are obtained as the functions of magnetic permeability of the disk substance. It is shown that typical thin disks made of iron, nickel and cobalt in the mode far from saturation are magnetized substantially the same as a disk with infinite magnetic permeability. Though the solved problems are stationary, the results are also usable in the analysis of quasi-stationary processes such as low-frequency variation of external magnetic field. © Siberian Federal University. All rights reserved.

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 9, Is. 4

Номера страниц: 432-442

• Denisenko Valery V. (Inst Computat Modeling SB RAS, Akademgorodok 50-44, Krasnoyarsk 660036, Russia; Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia)
• Sadovskii Vladimir M. (Inst Computat Modeling SB RAS, Akademgorodok 50-44, Krasnoyarsk 660036, Russia; Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia)
• Zamay Sergey S. (Krasnoyarsk Sci Ctr SB RAS, Akademgorodok 50, Krasnoyarsk 660036, Russia)

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