Experimental study of vector and scalar properties of 9Kh2 steel in deformation along flat curvilinear trajectories. Part 1. Logarithmic-spiral trajectories

Abstract. An experimental study of the vector and scalar properties was carried out when changing the direction of deformation on samples made of 9X2 steel. It is shown that after the exhaustion of a certain interval of the trajectory lengths, scalar and vector properties seem to forget the change in the direction of deformation and correspond to the trajectories without changing the direction.

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Maximum Entropy (Most Likely) Double Helical and Double Logarithmic Spiral Trajectories in Space-Time

Scientific Reports ◽

10.1038/s41598-019-46765-w ◽

2019 ◽

Vol 9 (1) ◽

Cited By ~ 1

Author(s):

M. C. Parker ◽

C. Jeynes

Keyword(s):

Maximum Entropy ◽

Logarithmic Spiral ◽

Space Time ◽

Spiral Trajectories

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The Geometry of the Shear Zone in Metal Cutting

Journal of Engineering for Industry ◽

10.1115/1.3604657 ◽

1968 ◽

Vol 90 (2) ◽

pp. 420-424 ◽

Cited By ~ 3

Author(s):

R. F. Scrutton

Keyword(s):

Strain Rate ◽

Shear Zone ◽

Slip Line ◽

Metal Cutting ◽

Logarithmic Spiral ◽

Line Field ◽

Slip Line Field ◽

Starting Point ◽

Fundamental Quantity ◽

Spiral Trajectories

The choice of a suitable trajectory shape and slip-line field for the shear zone must be influenced by the degree of work hardening and thermal softening, and is necessarily difficult. Although probably incorrect, the geometry of a polar slip-line field is described in terms of the properties of circular and logarithmic spiral trajectories, as this affords a suitable starting point. It is then assumed that the fundamental quantity is the trajectory shape, and it is shown that a slip-line field may be determined which corresponds to any given set of spiral trajectories. The choice of spirals is limited by the condition of volume continuity. The results of Kececioglu (1960) [4] are reexamined in the light of more recent theories of the shear zone and the experimentally determined strain-rate values are shown to be incorrectly derived. A suitable trajectory shape must first be adopted before calculating the value of the strain rate in terms of the width of the zone.

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Logarithmic spiral trajectories generated by Solar sails

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/s10569-017-9812-6 ◽

2018 ◽

Vol 130 (2) ◽

Cited By ~ 5

Author(s):

Marco Bassetto ◽

Lorenzo Niccolai ◽

Alessandro A. Quarta ◽

Giovanni Mengali

Keyword(s):

Logarithmic Spiral ◽

Solar Sails ◽

Spiral Trajectories

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Experimental study on the restoration from a tilt-azimuth series for improvement in resolution

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s042482010013955x ◽

1995 ◽

Vol 53 ◽

pp. 636-637

Author(s):

Norio Baba ◽

Norihiko Ichise ◽

Syunya Watanabe

Keyword(s):

Experimental Study ◽

Spherical Aberration ◽

Incident Beam ◽

Optical Parameters ◽

Beam Tilting ◽

Illumination Method ◽

Restoration Method ◽

Illumination Mode

The tilted beam illumination method is used to improve the resolution comparing with the axial illumination mode. Using this advantage, a restoration method of several tilted beam images covering the full azimuthal range was proposed by Saxton, and experimentally examined. To make this technique more reliable it seems that some practical problems still remain. In this report the restoration was attempted and the problems were considered. In our study, four problems were pointed out for the experiment of the restoration. (1) Accurate beam tilt adjustment to fit the incident beam to the coma-free axis for the symmetrical beam tilting over the full azimuthal range. (2) Accurate measurements of the optical parameters which are necessary to design the restoration filter. Even if the spherical aberration coefficient Cs is known with accuracy and the axial astigmatism is sufficiently compensated, at least the defocus value must be measured. (3) Accurate alignment of the tilt-azimuth series images.

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