Derivation of a linear prestressed elastic rod model from three-dimensional elasticity

2013 ◽  
Vol 20 (10) ◽  
pp. 1215-1233
Author(s):  
Maroje Marohnić ◽  
Josip Tambača
2009 ◽  
Vol 80 (1) ◽  
Author(s):  
B. Eslami-Mossallam ◽  
M. R. Ejtehadi

1999 ◽  
Vol 83 (23) ◽  
pp. 4900-4903 ◽  
Author(s):  
Alexander Balaeff ◽  
L. Mahadevan ◽  
Klaus Schulten

2000 ◽  
Vol 2 (4) ◽  
pp. 377 ◽  
Author(s):  
C. Bouchiat ◽  
M. Mézard

2001 ◽  
Vol 11 (07) ◽  
pp. 1237-1252 ◽  
Author(s):  
MLADEN JURAK ◽  
JOSIP TAMBAČA

A one-dimensional model of a curved rod is derived from the three-dimensional linearized elasticity. No positivity assumption on the curvature of the central line of the curved rod is made. The model is obtained by taking the limit in the equilibrium equation of the three-dimensional elastic rod when the thickness of the rod goes to zero. The appropriate convergence result is proved.


Soft Matter ◽  
2020 ◽  
Vol 16 (32) ◽  
pp. 7544-7555
Author(s):  
Robert Welch ◽  
Sarah A. Harris ◽  
Oliver G. Harlen ◽  
Daniel J. Read

KOBRA is a coarse-grained algorithm for parameterising and simulating slender proteins using Kirchoff rods.


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