A Slip-Line Field Model for the Determination of Chip Curl Radius

1995 ◽  
Vol 117 (2) ◽  
pp. 266-271 ◽  
Author(s):  
X. D. Liu ◽  
L. C. Lee ◽  
K. Y. Lam
Keyword(s):  
Slip Line ◽  
Field Model ◽  
Elastic Recovery ◽  
Line Field ◽  
Slip Line Field

A slip-line field model is presented for the determination of the chip curl radius when cutting with a grooved restricted contact tool. The calculated values are found to provide a good approximation, especially for larger uncut chip thicknesses. The calculated results are consistently lower than the measured ones due to the elastic recovery of the chip after leaving the groove.

The Relation Between the Friction of Lubricated Rough Surfaces and Apparent Normal Pressure

1989 ◽  
Vol 111 (2) ◽  
pp. 260-264 ◽  
Author(s):  
P. Lacey ◽  
A. A. Torrance ◽  
J. A. Fitzpatrick
Keyword(s):  
Surface Roughness ◽  
Friction Coefficient ◽  
Boundary Lubrication ◽  
Slip Line ◽  
Field Model ◽  
Rough Surfaces ◽  
Normal Pressure ◽  
Line Field ◽  
Slip Line Field ◽  
Asperity Contacts

Most previous studies of boundary lubrication have ignored the contribution of surface roughness to friction. However, recent work by Moalic et al. (1987) has shown that when asperity contacts can be modelled by a slip line field, there is a precise relation between the friction coefficient and the asperity slope. Here, it is shown that there is also a relation between the friction coefficient and the normal pressure for rough surfaces which can be predicted from a development of the slip line field model.

A slip-line field model of abrasive wear

Wear ◽  
1996 ◽  
Vol 196 (1-2) ◽  
pp. 35-45 ◽  
Author(s):  
A.A. Torrance ◽  
T.R. Buckley
Keyword(s):  
Abrasive Wear ◽  
Slip Line ◽  
Field Model ◽  
Line Field ◽  
Slip Line Field

scholarly journals Flow along Tool-Chip Interface in Orthogonal Metal Cutting

1966 ◽  
Vol 8 (1) ◽  
pp. 36-41 ◽  
Author(s):  
H. E. Enahoro ◽  
P. L. B. Oxley
Keyword(s):  
Steady State ◽  
Contact Zone ◽  
Slip Line ◽  
Metal Cutting ◽  
Field Model ◽  
The Body ◽  
Line Field ◽  
Slip Line Field ◽  
Chip Flow ◽  
Orthogonal Metal Cutting

In recent papers it has been suggested that over part of the tool-chip contact zone the chip does not slide but sticks to the tool, chip flow taking place by shear within the body of the chip. Sticking contact is inconsistent with steady state cutting and in this paper a slip-line field model of chip flow is presented which does not include sticking contact and which is consistent with the relevant experimental observations.

Indentation Analysis for General Shapes of Surface Boundaries and Punch Profiles

1971 ◽  
Vol 11 (03) ◽  
pp. 321-329
Author(s):  
W.C. Schneider ◽  
J.B. Cheatham
Keyword(s):  
Slip Line ◽  
Plastic Material ◽  
Yield Condition ◽  
Tangent Plane ◽  
Plastic Body ◽  
Line Field ◽  
Slip Line Field ◽  
Plastic Materials ◽  
The Right

American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. Abstract When a punch indents a plastic material, the surrounding surface is frequently of an irregular shape and the surface of the punch is often curved or rounded rather than sharp and straight. In this paper equations are presented for the determination of the pressure presented for the determination of the pressure beneath a punch of general profile. The usual procedure for determining the pressure beneath procedure for determining the pressure beneath a punch indenting a plastic material is to assume a slip-line field and then compute the pressure on the basis of that assumption. pressure on the basis of that assumption. In this paper we wish to free the designer from the need to assume a slip-line field when calculating the pressure beneath a punch. To this end, we present Theorem I, which reveals that the pressure is independent of the slipline shape but depends only on its terminal points. For many practical problems, points. For many practical problems, information about the terminal points is known even though the slip-line shape is unknown. Equations for the pressure distribution as well as the external loads needed to cause incipient plastic flow are given. Examples are presented to illustrate their use. presented to illustrate their use. For nonsymmetrical problems the concept of a slip-line "triple point" is presented to determine whether the right or left boundary should be used to determine pressure at the point in question. A Tresca's yield condition point in question. A Tresca's yield condition is assumed in the examples considered; however, extension to a Coulomb plastic should present no difficulties. Introduction In past analyses most of the plane-strain plasticity solutions for the indentation of plasticity solutions for the indentation of plastic materials such as rocks under pressure, plastic materials such as rocks under pressure, soils and metals have applied-to situations for which the pressure on the indenter is uniform. For example, sharp wedges, either smooth or rough, indenting a smooth flat half-space or acting adjacent to a straight inclined edge have uniform pressure at the interface between the punch and the plastic material. If the indenter is curved and/or the material being indented has a curved or irregular, shape, then the pressure distribution will be nonuniform in most cases. In the present paper theorems are presented that permit the analysis of presented that permit the analysis of indentation problems for which the indentation pressure is nonuniform. pressure is nonuniform. In Theorem I we prove that the indentation pressure at a point on a punch depends only on pressure at a point on a punch depends only on the angle between the tangents to the punch surface and the boundary at the two ends of a slip-line, through the point in question. Fig. 1A schematically illustrates the slip-line field adjacent to a curved punch which is indenting a curved boundary of plastic material We are concerned here only with incipient flow for the configuration shown. After the punch has penetrated an incremental distance into the plastic body it will be necessary to calculate plastic body it will be necessary to calculate the new surface configuration by use of the appropriate velocity field. The angle Theta denote the inclination of a given surface with respect to the horizontal axis while the angle Psi determines the angle of inclination of a slip line with respect to a given surface at a point. On the right side of the punch the point. On the right side of the punch the tangent to the punch surface at A forms an angle Theta A to the horizontal axis and the a slip line is inclined at the angle Psi A to the tangent plane at A. Likewise at the free surface, B, plane at A. Likewise at the free surface, B, the tangent-plane angle's Theta B and slip-line direction is Psi B. Thus the a slip line turns through an angle [Psi B - Theta B + Psi A - Theta A] from Point B to Point A. The same procedure can be applied to the left side of the punch from Point D to C.

A Machining Program Employing a Slip Line Field Modelling Technique Over Other Constitutive Models

2020 ◽  
Vol 10 (2) ◽  
pp. 18-48
Author(s):  
Hridayjit Kalita ◽  
Kaushik Kumar
Keyword(s):  
Slip Line ◽  
Field Model ◽  
Plastic Material ◽  
Constitutive Models ◽  
Line Field ◽  
Slip Line Field ◽  
Stress Equilibrium ◽  
Common Technique ◽  
Trial And Error Method ◽  
Chip Separation

Machining involves complex plastic material flow at the chip separation site which makes it difficult to predict forces and other machining outputs to higher accuracy. Modelling is a common technique which facilitates incorporation of analytical and experimentally derived equations to visualize the process and analyses the mechanism. It saves time and machining factors can be optimized without any trial and error method. In this paper, the significance of slip line field model over other constitutive laws in defining the complex regions in machining are thoroughly reviewed and a slip line field model is chosen which incorporates build up edge (BUE) of a larger size than the other previously defined slip line models for machining. The modified model also incorporate a region of shear zone instead of a shear line, takes into account the chip curl effect and conform to the velocity discontinuity and stress equilibrium. The slip line fields are generated using MATLAB and employing Dewhurst-Collin's matrix technique.

scholarly journals Applicability of an orthogonal cutting slip-line field model for the microscale

2014 ◽  
Vol 229 (12) ◽  
pp. 2250-2264 ◽  
Author(s):  
Lara Rebaioli ◽  
Gabriele Biella ◽  
Massimiliano Annoni ◽  
J Rhett Mayor ◽  
Quirico Semeraro
Keyword(s):  
Slip Line ◽  
Field Model ◽  
Orthogonal Cutting ◽  
Line Field ◽  
Slip Line Field
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