10.1184/R1/6466193.v1
Hossein Pourmatin
Hossein
Pourmatin
Amit Acharya
Amit
Acharya
Kaushik Dayal
Kaushik
Dayal
A fundamental improvement to Ericksen-Leslie kinematics
Carnegie Mellon University
2013
Civil and Environmental Engineering
2013-05-25 00:00:00
Journal contribution
https://kilthub.cmu.edu/articles/journal_contribution/A_fundamental_improvement_to_Ericksen-Leslie_kinematics/6466193
<p>We demonstrate theory and computations for finite-energy line defect solutions in an improvement of Ericksen-Leslie liquid crystal theory. Planar director fields are considered in two and three space dimensions, and we demonstrate straight as well as loop disclination solutions. The possibility of static balance of forces in the presence of a disclination and in the absence of flow and body forces is discussed. The work exploits an implicit conceptual connection between the Weingarten-Volterra characterization of possible jumps in certain potential fields and the Stokes-Helmholtz resolution of vector fields. The theoretical basis of our work is compared and contrasted with the theory of Volterra disclinations in elasticity. Physical reasoning precluding a gauge-invariant structure for the model is also presented</p>