Locking constraints for elastic rods and a curvature bound for spatial curves

2005 ◽  
Vol 24 (4) ◽  
pp. 377-402 ◽  
Author(s):  
Friedemann Schuricht
Keyword(s):  
Elastic Rods ◽  
Curvature Bound ◽  
Spatial Curves

scholarly journals Harmonic branched coverings and uniformization of CAT(k) spheres

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Christine Breiner ◽  
Chikako Mese
Keyword(s):  
Harmonic Map ◽  
Branched Coverings ◽  
Curvature Bound ◽  
Branched Covering

Abstract Let S be a surface with a metric d satisfying an upper curvature bound in the sense of Alexandrov (i.e. via triangle comparison). We show that an almost conformal harmonic map from a surface into ( S , d ) {(S,d)} is a branched covering. As a consequence, if ( S , d ) {(S,d)} is homeomorphically equivalent to the 2-sphere 𝕊 2 {\mathbb{S}^{2}} , then it is conformally equivalent to 𝕊 2 {\mathbb{S}^{2}} .

Strain pulse propagation in composite elastic rods

Composites ◽  
1970 ◽  
Vol 1 (3) ◽  
pp. 190
Author(s):  
V.K Varatharajulu ◽  
I Kayek Sabih
Keyword(s):  
Pulse Propagation ◽  
Elastic Rods ◽  
Strain Pulse

Curvature bound for a curve flow with a prescribed rate of change in enclosed area

2018 ◽  
Vol 29 (08) ◽  
pp. 1850053
Author(s):  
Jianbo Fang ◽  
Shengliang Pan ◽  
Yunlong Yang
Keyword(s):  
Rate Of Change ◽  
Partial Answer ◽  
Curvature Bound ◽  
Curve Flow ◽  
Nonlocal Flow

This paper deals with the curvature bound for a nonlocal curve flow with a prescribed rate of change in enclosed area via Andrews–Bryan’s distance comparison. As a by-product, a partial answer to a conjecture given by Dallaston and McCue is obtained and the [Formula: see text] convergence of the curvature for the nonlocal flow is achieved.

On Extensional Oscillations and Waves in Elastic Rods

1998 ◽  
Vol 3 (3) ◽  
pp. 277-295 ◽  
Author(s):  
Shankar Krishnaswamy ◽  
R. C. Batra
Keyword(s):  
Elastic Rods ◽  
Oscillations And Waves

Modeling and numerical treatment of elastic rods with frictionless self-contact

2009 ◽  
Vol 198 (47-48) ◽  
pp. 3751-3764 ◽  
Author(s):  
Mourad Chamekh ◽  
Saloua Mani-Aouadi ◽  
Maher Moakher
Keyword(s):  
Elastic Rods ◽  
Numerical Treatment

scholarly journals Spatially complex localisation in twisted elastic rods constrained to a cylinder

2002 ◽  
Vol 39 (7) ◽  
pp. 1863-1883 ◽  
Author(s):  
G.H.M. van der Heijden ◽  
A.R. Champneys ◽  
J.M.T. Thompson
Keyword(s):  
Elastic Rods
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