A model of crack based on dislocations in smectic A liquid crystals

doi:10.1088/1674-1056/23/10/106103

Abstract A plastic crack model for smectic A liquid crystals under longitudinal shear is suggested. The solution of the screw dislocation in smectic A is the key to the correct result that we obtained by overcoming a longstanding puzzle. We further use the dislocation pile-up principle and the singular integral equation method to construct the solution of the crack in the phase. From the solution, we can determine the size of the plastic zone at the crack tip and the crack tip opening (tearing) displacement, which are the parameters relevant to the local stability/instability of materials. Our results may be useful for developing soft-matter mechanics.

Keywords: smectic A screw dislocation dislocation pile-up plastic crack local instability

Received: 05 March 2014
Revised: 17 April 2014
Accepted manuscript online:

PACS:	61.30.-v	(Liquid crystals)
	61.30.Dk	(Continuum models and theories of liquid crystal structure)
	61.30.Jf	(Defects in liquid crystals)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11272055).

Corresponding Authors: Tang Zhi-Yi
E-mail: 7491903@qq.com

About author: 61.30.-v; 61.30.Dk; 61.30.Jf

Cite this article:

Fan Tian-You (范天佑), Tang Zhi-Yi (唐志毅) A model of crack based on dislocations in smectic A liquid crystals 2014 Chin. Phys. B 23 106103


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