Modeling of electrodynamic processes by means of mechanical analogies

EA Ivanova - ZAMM‐Journal of Applied Mathematics and …, 2021 - Wiley Online Library
This study continues the line of earlier research in mechanical models of electrodynamic
processes suggested in previous works. The basic steps we take to construct these models …

[PDF][PDF] Рациональная механика сплошных сред

ПА Жилин - Санкт-Петербург: Изд-во политехн. ун-та, 2012 - researchgate.net
Основой классической механики, лежащей вне логических структур, является
убеждение в возможности объективного описания окружающего нас мира. Главной …

Thermo-electrodynamics of conductive media based on the nonlinear viscoelastic Cosserat continuum of a special type

EA Ivanova - Acta Mechanica, 2023 - Springer
We develop a general nonlinear theory of thermo-electrodynamics. We show that two
theories constructed in our previous works, namely the linear theory of thermo …

Basic equations of Kelvin's medium and analogy with ferromagnets

E Grekova, P Zhilin - Journal of elasticity and the physical science of solids, 2001 - Springer
A nonlinear elastic Cosserat continuum of special kind whose particles have dynamical
spins (Kelvin's medium) is considered. The basic equations for this medium are obtained on …

On a micropolar continuum approach to some problems of thermo-and electrodynamics

EA Ivanova - Acta Mechanica, 2019 - Springer
A new nonlinear model of a micropolar continuum is suggested. The peculiarity of the model
is that the constitutive equations depend only on the strain measures associated with …

A new approach to modeling of thermal and electrical conductivities by means of the Cosserat continuum

EA Ivanova - Continuum Mechanics and Thermodynamics, 2022 - Springer
We develop a linear theory of the Cosserat continuum of a special type. This continuum
possesses only rotational degrees of freedom. The constitutive equation for the moment …

Modeling of thermal and electrical conductivities by means of a viscoelastic Cosserat continuum

EA Ivanova - Continuum Mechanics and Thermodynamics, 2022 - Springer
We consider a linear theory of a viscoelastic Cosserat continuum of a special type. In doing
so, we associate the main variables characterizing the stress–strain state of the continuum …

Modeling of physical fields by means of the Cosserat continuum

EA Ivanova - ZAMM‐Journal of Applied Mathematics and …, 2023 - Wiley Online Library
We consider a special type Cosserat continuum and suggest analogies between quantities
characterizing the stress–strain state of the continuum and quantities characterizing physical …

A more complete thermodynamic framework for fluent continua

K Surana - Journal of Thermal Engineering, 2015 - dergipark.org.tr
Polar decomposition of the changing velocity gradient tensor in a deforming fluent continua
into pure stretch rates and rates of rotations shows that a location and its neighboring …

Non-classical continuum theories for solid and fluent continua and some applications

KS Surana, D Mysore, JN Reddy - International Journal of Smart …, 2019 - Taylor & Francis
This paper presents two specific thermodynamically consistent non-classical continuum
theories for solid and fluent continua. The first non-classical continuum theory for solid …