2 edition of Slip line field during rolling with a continuous speed field found in the catalog.
Slip line field during rolling with a continuous speed field
V F. Potapkin
Translated from Russian article in Izvestiya Vuz Chernaia Metallurgiia 1975, 7, 103-106.
|Statement||[by]V.F. Potapkin [and others].|
|Series||BISI -- 13852|
Figure shows the corresponding slip line field. The local field under the indenter is that due to Hill () for indentation of a strip of limited height. This can be matched up with a uniform deformation pattern in the centre of the strip, given by a series of square rigid blocks separated by velocity discontinuities. Figure 11 shows slip line solutions for a steady flow during surface sliding (a) and rolling (b) with the formation of a plastic wave in front of the contact area with a tool. The strain rates within the plastic zones are low, whereas shear strains during the crossing of rigid-plastic boundaries with velocity discontinuities are γ ~ 1.
Slip Line Field Method The slip-line field analysis, a graphical approach, depends upon the determination of the plastic flow pattern in the deforming material. Plastic flow, as discussed earlier, occurs predominantly by slip on planes of closely packed atoms and in the direction of the line of atoms which lie closest to the line of maximum. Rolling without slipping commonly occurs when an object such as a wheel, cylinder, or ball rolls on a surface without any skidding. To define such a motion we have to relate the translation of the object to its rotation. For example, let’s consider a wheel (or cylinder) rolling on a flat horizontal surface, as shown below. Where.
From the progression, evolution of the strain rate field closely follows that observed for the velocity field in figure 2, as the slip line patterns become more sharply defined beyond an indentation depth of mm. At the greater indentation depths, these slip lines extend over a region of – mm from the indenter face and along the. To develop slip line field theory to more general plane strain conditions, we need to recognize that the stress can vary from point to point. Therefore, p can vary, but k is a material constant. As a result of this, directions of maximum shear stress and the directions of principal stresses can vary along a slip line.
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It bends towards the work roll with the lower circumferential speed. Rolling stock with an entrance thickness of mm and a Δ v of 5% has a maximum curvature of m −1, i.e. a bending radius of m at a shape factor of 1 or a reduction per pass of It bends towards the work roll with the lower circumferential speed by: 5.
POTAPKIN and I. BOBUKH, Stress state in the deformation zone in the hot rolling of thick and medium stock. Steel in the USSR. 1, (). POTAPKIN, Field of linear slip when rolling medium-gauge sheet. Steel in the USSR.
1, (). POTAPKIN et al., Slip-line field during rolling with a continuous speed by: 9. In the present paper, the proposed photoviscoplasticity is applied to analyze the slip-line field, stress states near the contact surface and the normal roll pressure of the strip in the model test of the flat rolling.
As the results, the experimental slip-line field was remarkably different from the theoretical : T. Nishitani, A. Hasegawa. 1. Exact non-unique solution: (a) slip-line field, (b) hodograph. A slip-line field analysis of the rolling contact problem at high loads The deformation takes place in the region ABFDGA (Fig.
la) and along the velocity discontinuity line EDFB, the isolated slip-line ED being a circular arc of radius r and S as the by: 5. Influence of roll speed mismatch on strip curvature during the roughing stages of a hot rolling mill (& considered a rigid-plastic model of continuous hot rolling of low carbon steel.
One slip line meets the surface at the angle given by Eq. () and another at 90° to this direction. In a case where tangential frictional stress τ=μσ n =k, the condition is known as sticking sticking friction, one slip line meets the surface tangentially so that γ=0 and the complementary slip line meets the surface at 90°.
The Prandtl–Tomlenov solution predicts a. A slip-line field is proposed for the cold rolling process with slipping friction. The proposed solution is for small rolls only and a pass reduction of 20 per cent. A feature is a pressure drop. In this paper, a cold rolling slip-line field graphic model is established by analyzing the theory and mechanics during the process of external spline cold rolling according to assumptions.
The forward slip in strip rolling was defined as the relative difference between the roll surface speed and strip exit speed. It was always an important parameter because of its significant influence on friction and tension control. In this study a Phantom V digital high speed image acquisition and motion analysis system was used to record the movement of the roll and the workpiece during.
Referring back to slip line field solutions derived by Ale~ander~,~~,~3, typically as shown in Fig. 8, they do indicate that a neutral exists and that it may be a function of the L/have ratio, which could possibly be given by an empirical expression derived from those slip-line field solutions.
A Slip Line Field for the Hot Rolling Process J. Alexander, (Eng.), Ph.D. Proceedings of the Institution of Mechanical Engineers 1, The field is based on other slip-line fields developed for a rigid wedge sliding on a half-space and for negative rake angle orthogonal cutting.
It incorporates the observed phenomena of a small stable build-up of material adhered to the edge and a. Rolling is a common practice in golf green & soccer field management to increase speed short-term (hours) To produce a firm surface critical for those sports that require ball bounce, such as tennis, cricket, & baseball; Rolling is often used on newly seeded or sodded turf areas to aid turf: soil contact and speed-up establishment.
According to the governing rules of slip-line field theory (Dewhurst and Collins, ), slip-lines meet the bottom surface of the built-up region at angles η and π/2−η according to η = ⋅ −1 () cos m.
(3) The fan field angles θ and γ are found from geometrical considerations to. rolling and the potential for overly com-pacting soils.
But after knocking around with coaches and sports field managers I have come to the conclusion that field rolling is often a necessary and important part of making a safe and playable surface, Each individual situa-tion will require the judgment and expe-rience ofthe field manager.
If you have. The homogeneity of the deformation field is assessed with full field strain measurement by digital image correlation, and macrotexture is measured by x-ray diffraction. rolling speed.
Collins and Dewhurst explained that differential speed rolling makes strip warpage toward higher speed roll side by slip line field analysis. 2,3) Motomura and Tanaka conducted model rolling experiment and showed that strip warpage behavior in case of differential WR diameter rolling. 4) Kiuchi and Hsiang reported influence of inlet angle on.
Slip line field method of analysis-Quiz Questions: 49 kb: Stress, strain, elasticity and plasticity: Quiz Key: Slip line field method of analysis-Quiz key: Introduction to rolling processes Introduction – rolled products-rolling mills – typical rolling processes -Quiz Questions: 44 kb: Rolling.
countries, about percent of rolling products are produced with this type of rolling. Throughout this century, the rolling process has been analyzed by various analytical and numerical methods such as the slab method, the slip-line field method, the upper bound method, the boundary element method and the finite element method.
Oluwole OO, Olaogun O () Slip line field solu tion for second pass in lubricated 4-high reversing cold rolling sheet mill. Engineer ing 3(12) –. This video introduces the concept of "SLIP LINE FIELD THEORY" and was made as a part of MME at IIT Kanpur by a team of three members as: Agnish Dhiman, Bipin Kedia, Soumya Ranjan Sahoo.this point, slipping and friction occur between roll and work.
The amount of slip between the rolls and the work can be measured by means of the forward slip, a term used in rolling that is defined: Where s = forward slip; v f = final (exiting) work velocity, m/s (ft/sec); and v r = roll speed, m/s (ft/sec).Rolling a field with too fast a ground speed, especially on a bumpy, beat-up field may “bounce” the roller a little causing more turfgrass physical damage and getting poor results.
Rolling, and the depression made under the curved drum creates an advancing shear-zone underground as the turf surface deforms.