On the Extension of Elastic Two-Ply Filament Yarns

1975 ◽  
Vol 42 (4) ◽  
pp. 821-824 ◽  
Author(s):  
N. C. Huang
Keyword(s):  
Linear Theory ◽  
Cross Section ◽  
Circular Cross Section ◽  
Axial Extension ◽  
Curved Rods ◽  
Curved Rod ◽  
Helical Configuration

This paper deals with the small extension of linearly elastic two-ply filament yarns. Each filament is treated as a long slender curved rod with circular cross section and helical configuration. Analysis is based on the linear theory of slender curved rods. Two problems are investigated, namely, the extension of a yarn with fixed ends and the extension of a yarn with free ends. In comparison with a previous study of a similar problem, it is found that the method adopted in this paper can provide more accurate results and better geometrical and physical insights into the problem. In this study, the yarn elongation and the filament stress are determined for yarns with various helical angles. The effect of the superposition of a twisting moment on the axial extension is also investigated.

Finite Extension of an Elastic Strand With a Central Core

1978 ◽  
Vol 45 (4) ◽  
pp. 852-858 ◽  
Author(s):  
N. C. Huang
Keyword(s):  
Cross Section ◽  
Circular Cross Section ◽  
Single Layer ◽  
Finite Extension ◽  
Contact Forces ◽  
Central Core ◽  
The Core ◽  
Axial Forces ◽  
Helical Angle ◽  
Curved Rods

This paper deals with the finite extension of an elastic strand with a central core surrounded by a single layer of helical wires subjected to axial forces and twisting moments. The central core is considered as a straight rod of circular cross section and the helical wires are regarded as slender curved rods with circular cross section. The theory of slender curved rods is used in the analysis. Geometrical nonlinearities due to the reductions in helical angle and cross section of the core and wires are included. It is found that as a result of the contact between the central core and helical wires, a separation between helical wires can occur during the extension of the strand. Stresses in the core and wires as well as the contact forces between the core and wires are analyzed for strands with various helical angles subjected to different axial forces. Examples are presented for the finite extension of strands with fixed ends and strands with free ends.

SAF file: It's really three dimensional file

2018 ◽  
Vol 14 (1) ◽  
pp. 1
Author(s):  
Prof. Dr. Jamal Aziz Mehdi
Keyword(s):  
Cross Section ◽  
Root Canal ◽  
Three Dimensional ◽  
Circular Cross Section ◽  
Circular Motion ◽  
Root Canal Treatment ◽  
Metal Core ◽  
Rotating Blade

The biological objectives of root canal treatment have not changed over the recentdecades, but the methods to attain these goals have been greatly modified. Theintroduction of NiTi rotary files represents a major leap in the development ofendodontic instruments, with a wide variety of sophisticated instruments presentlyavailable (1, 2).Whatever their modification or improvement, all of these instruments have onething in common: they consist of a metal core with some type of rotating blade thatmachines the canal with a circular motion using flutes to carry the dentin chips anddebris coronally. Consequently, all rotary NiTi files will machine the root canal to acylindrical bore with a circular cross-section if the clinician applies them in a strictboring manner

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