scholarly journals On curves of constant torsion I

2013 ◽  
Vol 104 (2) ◽  
pp. 213-227 ◽  
Author(s):  
Larry M. Bates ◽  
O. Michael Melko
Keyword(s):  
Constant Torsion

Closed curves of constant torsion

1974 ◽  
Vol 25 (1) ◽  
pp. 313-317
Author(s):  
Joel L. Weiner
Keyword(s):  
Closed Curves ◽  
Constant Torsion

Helices, Hasimoto Surfaces and Bäcklund Transformations

2000 ◽  
Vol 43 (4) ◽  
pp. 427-439 ◽  
Author(s):  
Thomas A. Ivey
Keyword(s):  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Similar Investigation ◽  
Screw Motion ◽  
Single Screw ◽  
Wave Solutions ◽  
First Case ◽  
Pseudospherical Surfaces ◽  
Special Cases ◽  
Constant Torsion

AbstractTravelling wave solutions to the vortex filament flow generated by elastica produce surfaces in ℝ3 that carry mutually orthogonal foliations by geodesics and by helices. These surfaces are classified in the special cases where the helices are all congruent or are all generated by a single screw motion. The first case yields a new characterization for the Bäcklund transformation for constant torsion curves in R3, previously derived fromthe well-known transformation for pseudospherical surfaces. A similar investigation for surfaces in H3 or S3 leads to a new transformation for constant torsion curves in those spaces that is also derived from pseudospherical surfaces.

Molecular dynamics simulation studies on the plastic behaviors of an iron nanowire under torsion

RSC Advances ◽  
2016 ◽  
Vol 6 (34) ◽  
pp. 28792-28800 ◽  
Author(s):  
Chong Qiao ◽  
Yanli Zhou ◽  
Xiaolin Cai ◽  
Weiyang Yu ◽  
Bingjie Du ◽  
...  
Keyword(s):  
Molecular Dynamics ◽  
Plastic Deformation ◽  
Molecular Dynamics Simulation ◽  
Deformation Mechanism ◽  
Driving Force ◽  
Dynamics Simulation ◽  
Simulation Studies ◽  
Plastic Deformation Mechanism ◽  
Constant Torsion ◽  
External Driving

The plastic deformation mechanism of iron (Fe) nanowires under torsion is studied using the molecular dynamics (MD) method by applying an external driving force at a constant torsion speed.

scholarly journals An explicit formula for spherical curves with constant torsion

2012 ◽  
Vol 259 (2) ◽  
pp. 361-372 ◽  
Author(s):  
Demetre Kazaras ◽  
Ivan Sterling
Keyword(s):  
Explicit Formula ◽  
Constant Torsion
Sign in / Sign up

Export Citation Format

Share Document