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

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

›› 2014, Vol. 23 ›› Issue (10): 106103-106103.doi: 10.1088/1674-1056/23/10/106103

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

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

范天佑, 唐志毅

School of Physics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2014-03-05 修回日期:2014-04-17 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11272055).

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

Fan Tian-You (范天佑), Tang Zhi-Yi (唐志毅)

School of Physics, Beijing Institute of Technology, Beijing 100081, China

Received:2014-03-05 Revised:2014-04-17 Online:2014-10-15 Published:2014-10-15
Contact: Tang Zhi-Yi E-mail:7491903@qq.com
About author:61.30.-v; 61.30.Dk; 61.30.Jf
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11272055).

摘要/Abstract

摘要： 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.

关键词: smectic A, screw dislocation, dislocation pile-up, plastic crack, local instability

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.

Key words: smectic A, screw dislocation, dislocation pile-up, plastic crack, local instability

中图分类号: (Liquid crystals)

61.30.-v

61.30.Dk (Continuum models and theories of liquid crystal structure) 61.30.Jf (Defects in liquid crystals)

范天佑, 唐志毅. A model of crack based on dislocations in smectic A liquid crystals[J]. , 2014, 23(10): 106103-106103.

Fan Tian-You (范天佑), Tang Zhi-Yi (唐志毅). A model of crack based on dislocations in smectic A liquid crystals[J]. Chin. Phys. B, 2014, 23(10): 106103-106103.

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

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

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