Abstract

A unified continuum theory is introduced to characterize the dynamical behavior of liquid crystal polymers (LCP), subject to electromechanical interactions. LCP particles are considered to have arbitrary shapes with variables inertia, possessing variable degree orientations. They can translate, rotate and undergo stretchings. They are subject to electromagnetic (E–M) loads and thermal effects. Balance laws are given and exact constitutive equations are obtained by means of the second law of thermodynamics and the axiom of material frame-indifference. Quasi-linear constitutive equations are derived and restrictions on the material moduli are obtained. A nonlinear theory is formulated for the purely mechanical case that excludes E–M effects and heat conduction for the purpose of rheological considerations. The theory is applicable to LCPs with short chains, with side chains and micellar polymers.

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