An Analysis of Contact Between a Pair of Surface Asperities During Sliding

1981 ◽  
Vol 48 (3) ◽  
pp. 493-499 ◽  
Author(s):  
Z. Lisowski ◽  
T. Stolarski

An analysis of friction junction formed by a pair of interacting hemispherically shaped surface asperities was carried out. Depending on the maximum geometrical interference of the asperities junction deformation can be elastic or plastic. Elastic junctions were analyzed using Hertz solution. Depending on whether the junction is welded or nonwelded it was assumed that the interfacial shear stress is constant and equal to or less than the bulk shear strength of the weaker material. Solution for the case of plastic junction was approximated by Green’s slip-line field solution.

The elimination of a class of possible slip-line field solutions for orthogonal machining indicates that the process is not uniquely defined. The range of possible solutions for any value of tool rake angle and interfacial shear stress is shown to be associated with large variations in the curvature of the machined chip. Machining conditions are split into two types, for one of which the machined chip will always curl, while the other has the Lee & Shaffer slip-line field as a lower limit of the solution range. The extent of the solution range for any value of friction is found to decrease with increasing rake angle. The analysis is shown to be consistent with certain experimental work available.


2013 ◽  
Vol 353-356 ◽  
pp. 2715-2719
Author(s):  
Chun Yan Zhang ◽  
Guo Hui Xu ◽  
Gang Wang

A designed measuring device of soil interfacial shear stress is introduced in this paper. We used the device for measuring the shear stress between the soil interface, of which the moisture content was 30% and the clay content were 5%, 9%, 15%, 21%, 30% respectively. The results show that the shear strength of experimental soil and friction between the layers decreases with the clay content increasing when the moisture content is 30% and clay content is more than 15%, and the results increase with the clay content increasing when the clay content is less than15%. Based on the study of the laminar soil interfacial shear stress, it provides the basis for the future research of the laminar motion of the sediment and the deposition of the liquefied motion soil.


Engineering ◽  
2011 ◽  
Vol 03 (12) ◽  
pp. 1225-1233 ◽  
Author(s):  
Oluleke O. Oluwole ◽  
Olayinka Olaogun

2006 ◽  
Vol 129 (4) ◽  
pp. 670-675 ◽  
Author(s):  
Jun-hai Zhao ◽  
Yue Zhai ◽  
Lin Ji ◽  
Xue-ying Wei

Unified solutions to the elastoplastic limit load of thick-walled cylindrical and spherical vessels under internal pressure are obtained in terms of the unified strength theory (UST) and the unified slip-line field theory (USLFT). The UST and the USLFT include or approximate an existing strength criterion or slip-line field theory by adopting a parameter b, which varies from 0 to 1. The theories can be used on pressure-sensitive materials, which have the strength difference (SD) effect. The solutions, based on the Tresca criterion, the von Mises criterion, the Mohr–Coulomb criterion, and the twin shear strength criterion, are special cases of the present unified solutions. The results based on the Mohr–Coulomb criterion (b=0) give the lower bound of the plastic limit load, while those according to the twin shear strength criterion (b=1) are the upper bound. The solution of the von Mises criterion is approximated by the linear function of the UST with a specific parameter (b≈0.5). Plastic limit solutions with respect to different yield criteria are illustrated and compared. The influences of the yield criterion as well as the ratio of the tensile strength to the compressive strength on the plastic limit loads are discussed.


1980 ◽  
Vol 102 (4) ◽  
pp. 310-314 ◽  
Author(s):  
W. A. Morcos

Lee and Shaffer’s slip line field solution [11] for orthogonal cutting is generalized to the free oblique continuous cutting problem in plane strain. Comparison of the results as predicted by this solution with those of the plane strain modified Merchant model [8] and experimental results is achieved for some key metal cutting parameters. It is shown that in some respect, the plane strain modified Merchant model [8] predicts values of parameters which are closer to experimental results.


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