Internal Rotations and Stress Tensor Symmetry in Theories of Nematic Liquids and Solids
A. I. Leonov, V. S. Volkov
Abstract
The paper analyses kinematics and dynamics of internal rotations with spin and their effects on the constitutive relations for uniaxial (nematic) liquids and for weakly elastic nematic solids. It is shown that neglecting the internal rotational inertia terms and effects of director gradient made the stress symmetric. This not only highly simplifies the theories but also allows calculating all the kinematic variables of internal rotations without any additional constants, other than those presented in the simplified theory with symmetric stress.
Create a lesson
Related papers
Active Sculpting: morphodynamics of internally stirred active vesicles
Devadevan M M, Brato Chakrabarti
Emergent medium-range order in amorphous silicon
Zhen Zhang, Stephen R. Elliott, Yujie Wang et al.
Complex pattern in periodically driven binary Quincke colloids
Chuan Yu Zhang, Mu Yue Zhao, Xiao Yi Zhou et al.
Why shaking faster does not untangle: frequency-selective extraction of filaments from tangled matter
Ishant Tiwari, Sutikshan Bansal, Rosalind Huang et al.
Geometry-Encoded Hidden Orientational Memory
Vladimir A. Baulin
Curie-Weiss cell fluid model: Fitting to experimental critical-point data
I. V. Pylyuk, O. A. Dobush, M. P. Kozlovskii et al.