Micro-indentation of a Conical Rigid Wedge by Numerical Slip-line Field Theory: A Hybrid Approach

2017 ◽  
Vol 31 (3) ◽  
pp. 36 ◽  
Author(s):  
Arup Kumar Biswas ◽  
Santanu Das ◽  
Sanjoy Das
Keyword(s):  
Field Theory ◽  
Slip Line ◽  
Hybrid Approach ◽  
Line Field ◽  
Slip Line Field ◽  
Micro Indentation

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
Keyword(s):  
Field Theory ◽  
Slip Line ◽  
Deep Drawing ◽  
Deformation Mode ◽  
Strain Theory ◽  
Material Anisotropy ◽  
Line Field ◽  
Anisotropic Parameter ◽  
Slip Line Field ◽  
Theoretical Predictions

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.

Unified Solutions to the Limit Load of Thick-Walled Vessels

2006 ◽  
Vol 129 (4) ◽  
pp. 670-675 ◽  
Author(s):  
Jun-hai Zhao ◽  
Yue Zhai ◽  
Lin Ji ◽  
Xue-ying Wei
Keyword(s):  
Field Theory ◽  
Shear Strength ◽  
Slip Line ◽  
Strength Criterion ◽  
Limit Load ◽  
Plastic Limit ◽  
Line Field ◽  
Slip Line Field ◽  
Von Mises ◽  
Coulomb Criterion

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.

Estimating the wax breaking force and wax removal efficiency of cup pig using orthogonal cutting and slip-line field theory

Fuel ◽  
2019 ◽  
Vol 236 ◽  
pp. 1529-1539 ◽  
Author(s):  
Weidong Li ◽  
Qiyu Huang ◽  
Wenda Wang ◽  
Xue Dong ◽  
Xuedong Gao ◽  
...  
Keyword(s):  
Field Theory ◽  
Removal Efficiency ◽  
Slip Line ◽  
Orthogonal Cutting ◽  
Breaking Force ◽  
Line Field ◽  
Slip Line Field ◽  
Wax Removal
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