scholarly journals Rigorous Solution of Slopes’ Stability considering Hydrostatic Pressure

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Chengchao Li ◽  
Pengming Jiang ◽  
Aizhao Zhou
Keyword(s):  
Hydrostatic Pressure ◽  
Slip Line ◽  
Slip Surface ◽  
Limit State ◽  
Soil Parameters ◽  
Rigorous Solution ◽  
Line Field ◽  
Discontinuity Line ◽  
Slip Line Field ◽  
Sliding Mechanism

According to characteristics of soils in failure, a sliding mechanism of slopes in limit state is divided into five parts, for building a slip line field satisfying all possible boundary conditions. An algorithm is built to obtain the rigorous solution approaching upper and lower bound values simultaneously, which satisfies the static boundary and the kinematical boundary based on the slip line field, while stress discontinuity line and velocity discontinuity line are key points. This algorithm is copared with the Spencer method to prove its feasibility with a special example. The variation of rigorous solution, including an ultimate load and a sliding belt the rigid body sliding along rather than a single slip surface for friction-type soils, is achieved considering hydrostatic pressure with soil parameters changing.

Calculation of stresses in the wall-ironing of cups

1979 ◽  
Vol 14 (2) ◽  
pp. 43-47 ◽  
Author(s):  
B Dood
Keyword(s):  
Hydrostatic Pressure ◽  
Wall Thickness ◽  
Slip Line ◽  
Internal Diameter ◽  
Slab Method ◽  
Line Field ◽  
Slip Line Field

The experimentally determined effects of die angle, friction and reduction on the ironing process are briefly described and the limitations of the slab method for the calculation of the ironing load are outlined. Hill's two-centred fan slip-line field for ironing is discussed and the static inadmissibility of some of the solutions is described. A further limitation on these fields is shown to occur when the hydrostatic pressure at the slip-line cusp at the punch surface is less than or equal to − k. Under these circumstances, it is predicted that thinning of the material at the punch will occur, which in practice would give a product with a reduced wall thickness and an increased internal diameter.

Slip Line Field Analysis of a Simple Plane Strain Closed-Die Forging

1989 ◽  
Vol 203 (2) ◽  
pp. 91-99
Author(s):  
M V Srinivas ◽  
P Alva ◽  
S K Biswas
Keyword(s):  
Velocity Field ◽  
Plane Strain ◽  
Slip Line ◽  
Field Analysis ◽  
Line Field ◽  
Slip Line Field ◽  
Die Forging ◽  
Closed Die Forging ◽  
Cavity Filling ◽  
Single Cavity

A slip line field is proposed for symmetrical single-cavity closed-die forging by rough dies. A compatible velocity field is shown to exist. Experiments were conducted using lead workpiece and rough dies. Experimentally observed flow and load were used to validate the proposed slip line field. The slip line field was used to simulate the process in the computer with the objective of studying the influence of flash geometry on cavity filling.

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.

Plane-Strain Problems

1989 ◽  
Author(s):  
Shiro Kobayashi ◽  
Soo-Ik Oh ◽  
Taylan Altan
Keyword(s):  
Finite Element ◽  
Plastic Flow ◽  
Slip Line ◽  
Field Analysis ◽  
Valuable Insight ◽  
Line Field ◽  
Slip Line Field ◽  
Perfectly Plastic ◽  
Nonsteady State ◽  
Plane Plastic

This chapter is concerned with the formulations and solutions for plane plastic flow. In plane plastic flow, velocities of all points occur in planes parallel to a certain plane, say the (x, y) plane, and are independent of the distance from that plane. The Cartesian components of the velocity vector u are ux(x, y), uy(x, y), and uz = 0. For analyzing the deformation of rigid-perfectly plastic and rate-insensitive materials, a mathematically sound slip-line field theory was established (see the books on metal forming listed in Chap. 1). The solution techniques have been well developed, and the collection of slip-line solutions now available is large. Although these slip-line solutions provide valuable insight into deformation modes and forming loads, slip-line field analysis becomes unwieldy for nonsteady-state problems where the field has to be updated as deformation proceeds to account for changes in material boundaries. Furthermore, the neglect of work-hardening, strain-rate, and temperature effects is inappropriate for certain types of problems. Many investigators, notably Oxley and his co-workers, have attempted to account for some of these effects in the construction of slip-line fields. However, by so doing, the problem becomes analytically difficult, and recourse is made to experimental determination of velocity fields, similarly to the visioplasticity method. Some of this work is summarized in Reference [2]. The applications of the finite-element method are particularly effective to the problems for which the slip-line solutions are difficult to obtain. The finite-element formulation specific to plane flow is recapitulated here.

Slip-line field solutions of three-point bend specimens with deep notches

1987 ◽  
Vol 29 (8) ◽  
pp. 557-564 ◽  
Author(s):  
Shang-Xian Wu ◽  
Yiu-Wing Mai ◽  
Brian Cotterell
Keyword(s):  
Slip Line ◽  
Line Field ◽  
Slip Line Field ◽  
Point Bend
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