Rey Alejandro D
Department of Chemical Engineering, McGill University, Montreal, Quebec, Canada H3A 2B2.
J Colloid Interface Sci. 2006 Dec 1;304(1):226-38. doi: 10.1016/j.jcis.2006.08.027. Epub 2006 Aug 18.
The polar surface fluid model is used to derive the generalized dynamic shape equation and the interfacial rheological material functions for viscoelastic membranes and curved interfaces, taking viscous bending and torsion modes into full account. The materials modeling approach based on the polar surface fluid leads to the integration of bending and torsion dissipative modes with their elastic counterparts that appear in the dynamic shape equation and in the interfacial rheological functions. The covariant bending and torsion rates derived in this paper are shown to be related to the interfacial co-rotational derivative of the curvature tensor. The dynamic shape equation is used to analyze shape fluctuation in planar geometries, and to establish the role of bending dissipation in shape dynamics. The dynamic shape equation generalizes the static Helfrich shape equation by incorporating bending and torsion dissipation, and it generalizes the dynamic shape equation based on the Boussinesq-Scriven model by incorporating bending and torsion elasticity and dissipation.
极表面流体模型用于推导广义动态形状方程以及粘弹性膜和弯曲界面的界面流变材料函数，充分考虑了粘性弯曲和扭转模式。基于极表面流体的材料建模方法导致弯曲和扭转耗散模式与其在动态形状方程和界面流变函数中出现的弹性对应模式的整合。本文推导的协变弯曲和扭转速率与曲率张量的界面共旋导数相关。动态形状方程用于分析平面几何形状中的形状波动，并确定弯曲耗散在形状动力学中的作用。动态形状方程通过纳入弯曲和扭转耗散推广了静态赫尔弗里希形状方程，并且通过纳入弯曲和扭转弹性及耗散推广了基于布辛涅斯克 - 斯克里文模型的动态形状方程。
