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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …