Propagation of elastic waves in liquid crystals

Chandrasekhar, S. (1964) Propagation of elastic waves in liquid crystals Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering Sciences, 25 (1384). pp. 92-98. ISSN 0962-8444

PDF - Publisher Version

Official URL:

Related URL:


The model proposed by Maxwell for a visco-elastic medium is generalized by combining the properties of a crystalline solid and an anisotropic fluid. The basic equations are derived taking the elastic constants and the coefficients of viscosity both to be tensors of rank four. Expressions are given for the complex velocity of propagation of elastic waves of small amplitude as a function of direction. The theory is then applied to the 'stepped drop' (goutte a gradins) discovered by Grandjean, which consists of a number of exactly parallel layers, each layer terminating in a sharp step. The layers slide over one another very easily, but in any other direction the drop is extremely viscous. It is shown that for vibrations of frequency less than about 109 s-1, only the longitudinal wave is propagated normal to the layers, the two transverse waves being heavily damped. In the plane of the layers the longitudinal wave and one transverse component are propagated.

Item Type:Article
Source:Copyright of this article belongs to Royal Society Publishing.
ID Code:7986
Deposited On:25 Oct 2010 09:33
Last Modified:16 May 2016 18:05

Repository Staff Only: item control page