Prediction of earing in cups drawn from anisotropic sheet using slip-line field theory

1974 ◽  
Vol 9 (2) ◽  
pp. 102-108 ◽  
Author(s):  
R Sowerby ◽  
W Johnson

Anisotropic slip-line fields have been developed in the flanges of drawn cups and used to predict the location of the ears and hollows at the onset of the drawing operation. The analysis is based on Hill's plane-strain theory of anisotropic metals. The material anisotropy is characterized by a lumped anisotropic parameter c. Deep-drawing tests were performed on circular blanks cut from anisotropic sheet and the actual deformation mode of particles in the flange was compared with the theoretical predictions. The correlation was found to be favourable.

1967 ◽  
Vol 89 (2) ◽  
pp. 376-379 ◽  
Author(s):  
G. R. Ponkshe

None of the existing explanations suggested by various research workers satisfactorily explains the various degrees of chip curl observed under different cutting conditions. A new explanation of the same, based on the shear strain theory and derived from the slip line field, has been presented in this paper and its validity has been discussed under various conditions of cutting.


2007 ◽  
Author(s):  
V. Miguel ◽  
J. Benet ◽  
J. Coello ◽  
A. Calatayud ◽  
A. Martínez

1971 ◽  
Vol 13 (6) ◽  
pp. 416-428 ◽  
Author(s):  
R. Venter ◽  
W. Johnson ◽  
M. C. de Malherbe

In Part 1, the slip-line field solutions and the associated load requirements necessary for the indentation of anisotropic solids are presented. The analysis is based on Hill's approach to the analysis of anisotropic material. All results are recorded in terms of a lumped anisotropic parameter, c. In Part 2, the results of an investigation to determine the anisotropic parameters of a commercially available aluminium are reported. Specimens machined from the aluminium at selected orientations to the anisotropic axes were indented using a nominally frictionless flat rectangular punch. A comparison between the theoretical and experimental indentation loads is given.


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.


Fuel ◽  
2019 ◽  
Vol 236 ◽  
pp. 1529-1539 ◽  
Author(s):  
Weidong Li ◽  
Qiyu Huang ◽  
Wenda Wang ◽  
Xue Dong ◽  
Xuedong Gao ◽  
...  

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