New effective bending rigidity and structural instability analysis of noncircular cross-section elastic rod model

2021 ◽  
Author(s):  
Zhixia Wang ◽  
Wei Wang ◽  
Qichang Zhang
Keyword(s):  
Cross Section ◽  
Structural Instability ◽  
Bending Rigidity ◽  
Elastic Rod ◽  
Instability Analysis ◽  
Noncircular Cross Section ◽  
Rod Model ◽  
Elastic Rod Model

scholarly journals Equilibrium Configurations of the Noncircular Cross-Section Elastic Rod Model with the Elliptic KB Method

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Yongzhao Wang ◽  
Qichang Zhang ◽  
Wei Wang
Keyword(s):  
Cross Section ◽  
Dynamical Behavior ◽  
Elliptic Functions ◽  
Physical Parameters ◽  
Valuable Insight ◽  
Elastic Rod ◽  
Noncircular Cross Section ◽  
Equilibrium Configurations ◽  
Rational Expressions ◽  
Elastic Rod Model

The mechanical deformation of DNA is very important in many biological processes. In this paper, we consider the reduced Kirchhoff equations of the noncircular cross-section elastic rod characterized by the inequality of the bending rigidities. One family of exact solutions is obtained in terms of rational expressions for classical Jacobi elliptic functions. The present solutions allow the investigation of the dynamical behavior of the system in response to changes in physical parameters that concern asymmetry. The effects of the factor on the DNA conformation are discussed. A qualitative analysis is also conducted to provide valuable insight into the topological configuration of DNA segments.

scholarly journals Asymmetric elastic rod model for DNA

2009 ◽  
Vol 80 (1) ◽  
Author(s):  
B. Eslami-Mossallam ◽  
M. R. Ejtehadi
Keyword(s):  
Elastic Rod ◽  
Rod Model ◽  
Elastic Rod Model

Elastic Rod Model of a DNA Loop in theLacOperon

1999 ◽  
Vol 83 (23) ◽  
pp. 4900-4903 ◽  
Author(s):  
Alexander Balaeff ◽  
L. Mahadevan ◽  
Klaus Schulten
Keyword(s):  
Elastic Rod ◽  
Dna Loop ◽  
Rod Model ◽  
Elastic Rod Model

scholarly journals Elastic rod model of a supercoiled DNA molecule

2000 ◽  
Vol 2 (4) ◽  
pp. 377 ◽  
Author(s):  
C. Bouchiat ◽  
M. Mézard
Keyword(s):  
Elastic Rod ◽  
Supercoiled Dna ◽  
Dna Molecule ◽  
Rod Model ◽  
Elastic Rod Model

ELASTICITY OF A HELICAL RIBBON WITH NONCIRCULAR CROSS SECTION

2005 ◽  
Vol 19 (05) ◽  
pp. 249-267 ◽  
Author(s):  
ZICONG ZHOU
Keyword(s):  
Cross Section ◽  
External Force ◽  
Elastic Model ◽  
Bending Rigidity ◽  
General Shape ◽  
Helical Ribbon ◽  
Discontinuous Transition ◽  
Noncircular Cross Section ◽  
Asymmetric Elasticity ◽  
Straight Rod

We derive the general shape equations in terms of Euler angles for an elastic model of uniform ribbon with noncircular cross section and vanishing spontaneous curvatures. We show that it has in general not a planar solution for a closed ribbon free of external force and torque. We study the conditions to form a helix with the axis along the direction of the applied force for a ribbon under external force and twisting. We find that if the bending rigidity is greater than the twisting rigidity, then no such helical rod can exist. Our stability analysis shows that a helical ribbon is in general stable or at least metastable under arbitrary force and torque. We find that the extension of the ribbon may undergo a discontinuous transition from a twisted straight rod to a helical ribbon. The intrinsic asymmetric elasticity of a helical ribbon under external torque is also studied.

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