Helical Configurations of Elastic Rods in the Presence of Interfacial Traction  

作　　者：王永昭 张琪昌 王炜 韩建鑫 

机构地区：[1]Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin University [2]School of Mechanical Engineering, Tianjin University

出　　处：《Transactions of Tianjin University》2015年第3期223-227,共5页天津大学学报（英文版）

基　　金：Supported by the National Nature Science Foundation of China(No.11372210);the Research Fund for the Doctoral Program of Higher Education of China(No.20120032110010);Tianjin Research Program of Application Foundation and Advanced Technology(No.12JCZDJC28000)

摘　　要：The Kirchhoff thin elastic rod models are always the important basis to explore the configuration mecha- nism of the flexible structures in both the macroscopic and microscopic scale. As a continuum model of DNA, a thin elastic rod subjected to interfacial interactions is used to investigate the helical equilibrium configuration of DNA in salt solution. In this paper, the Kirchhoff＇s equations in the presence of interracial traction and the free energy density functions of different configurations are studied. The transition formula of the free energy between B-DNA and Z- DNA is obtained, and the results show that the free energy of the transition is mainly determined by the salt concentra- tion, which agrees well with the experimental data.The Kirchhoff thin elastic rod models are always the important basis to explore the configuration mechanism of the flexible structures in both the macroscopic and microscopic scale. As a continuum model of DNA, a thin elastic rod subjected to interfacial interactions is used to investigate the helical equilibrium configuration of DNA in salt solution. In this paper, the Kirchhoff's equations in the presence of interfacial traction and the free energy density functions of different configurations are studied. The transition formula of the free energy between B-DNA and ZDNA is obtained, and the results show that the free energy of the transition is mainly determined by the salt concentration, which agrees well with the experimental data.

关 键 词：interfacial energy static Kirchhoff＇s equations helical configuration ionic concentration B-DNA to Z-DNA transition 

分 类 号：O343[理学—固体力学]