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Chin. Phys. B, 2014, Vol. 23(10): 106103    DOI: 10.1088/1674-1056/23/10/106103

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

Fan Tian-You, Tang Zhi-Yi
School of Physics, Beijing Institute of Technology, Beijing 100081, China
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      Published:  15 October 2014
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:
About author:  61.30.-v; 61.30.Dk; 61.30.Jf

Cite this article: 

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

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