A unified continuum theory for electrodynamics of polymeric liquid crystals

A unified continuum theory is introduced to characterize the dynamical beha vior of liquid crystal polymers (LCP), subject to electromechanical interac tions. LCP particles are considered to have arbitrary shapes with variables inertia, possessing variable degree orientations. They can translate, rota te and undergo stretchings. They are subject to electromagnetic (E-M) loads and thermal effects. Balance laws are given and exact constitutive equatio ns are obtained by means of the second law of thermodynamics and the axiom of material frame-indifference. Quasi-linear constitutive equations are der ived and restrictions on the material moduli are obtained. A nonlinear theo ry is formulated for the purely mechanical case that excludes E-M effects a nd heat conduction for the purpose of rheological considerations. The theor y is applicable to LCPs with short chains, with side chains and micellar po lymers. (C) 2000 Elsevier Science Ltd. All rights reserved.