On the asymmetric elasticity of twisted dsDNA

2005 ◽  
Vol 350 (1) ◽  
pp. 70-83 ◽  
Author(s):  
Zicong Zhou ◽  
Pik-Yin Lai
Keyword(s):  
Asymmetric Elasticity

scholarly journals Some Problems of Thermoelastic Equilibrium of a Rectangular Parallelepiped in Terms of Asymmetric Elasticity

2001 ◽  
Vol 8 (4) ◽  
pp. 767-784
Author(s):  
N. Khomasuridze
Keyword(s):  
Thermal Field ◽  
Separation Of Variables ◽  
Contact Problems ◽  
Rectangular Parallelepiped ◽  
Effective Solution ◽  
Contact Conditions ◽  
Thermoelastic Equilibrium ◽  
Boundary Contact ◽  
Asymmetric Elasticity ◽  
Surface Disturbances

Abstract An effective solution of a number of boundary value and boundary contact problems of thermoelastic equilibrium is constructed for a homogeneous isotropic rectangular parallelepiped in terms of asymmetric and pseudo-asymmetric elasticity (Cosserat's continuum and pseudo- continuum). Two opposite faces of a parallelepiped are affected by arbitrary surface disturbances and a stationary thermal field, while for the four remaining faces symmetry or anti-symmetry conditions (for a multilayer rectangular parallelepiped nonhomogeneous contact conditions are also defined) are given. The solutions are constructed in trigonometric series using the method of separation of variables.

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.

Mechanical impedance of a thin layer in asymmetric elasticity

2018 ◽  
Vol 316 ◽  
pp. 467-479 ◽  
Author(s):  
Athmane Abdallaoui ◽  
Keddour Lemrabet
Keyword(s):  
Thin Layer ◽  
Mechanical Impedance ◽  
Asymmetric Elasticity

Numerical analysis of singular solutions of two-dimensional problems of asymmetric elasticity

2013 ◽  
Vol 48 (4) ◽  
pp. 397-404 ◽  
Author(s):  
V. V. Korepanov ◽  
V. P. Matveenko ◽  
A. Yu. Fedorov ◽  
I. N. Shardakov
Keyword(s):  
Numerical Analysis ◽  
Singular Solutions ◽  
Two Dimensional ◽  
Asymmetric Elasticity
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