Experimental verification of the determining equations of the theory of plastic flow of anisotropic media

1991 ◽  
Vol 23 (11) ◽  
pp. 1161-1168 ◽  
Author(s):  
V. V. Kosarchuk ◽  
B. I. Koval'chuk ◽  
S. A. Mel'nikov
2021 ◽  
pp. 65-71
Author(s):  
A.L. Vorontsov

On the basis of the complete system of equations of the theory of plastic flow, the kinematic and stress states of the billet are determined when the channels are extruded under conditions of plane deformation of the misaligned position of the punch and the matrix. Keywords: die forging, extrusion, misaligned position, punch, matrix, plane deformation, plastic flow rates, stresses. [email protected]


2021 ◽  
pp. 63-69
Author(s):  
A.L. Vorontsov

On the basis of the system of equations of the theory of plastic flow, the forces, the maximum pressure on the wall of the matrix and the heights of the obtained walls when extruding channels are determined, taking into account the elastic deformation of the matrix. Keywords: die forging, extrusion, misalignment, punch, matrix, plane deformation, stresses. [email protected]


1949 ◽  
Vol 7 (2) ◽  
pp. 201-211 ◽  
Author(s):  
D. Trifan

Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov

Using the theory of plastic flow according to the method of A. L. Vorontsov, formulas are obtained that are necessary for calculating the accumulated deformations obtained by extruding with a counter-punch a peripheral region adjacent to a container with a matrix. The average accumulated deformation in both peripheral regions was determined.


1956 ◽  
Vol 23 (3) ◽  
pp. 444-450
Author(s):  
L. W. Hu

Abstract This investigation deals with a study of the plastic behavior of anisotropic metals. By extending Hill’s theory of plastic flow of anisotropic metals, plastic stress-strain relations for anisotropic materials with strain hardening are developed. Applications of these relations are also made to plane-stress and plane-strain problems with anisotropy. The effect of anisotropy on the stress distribution and on the pressure to produce yielding in a thick-walled cylinder under internal pressure is discussed. The influence of anisotropy on the interpretation of conventional biaxial tension-tension and tension-torsion tests is also considered in this study.


Author(s):  
A. L. Vorontsov ◽  
I. A. Nikiforov

Using the theory of plastic flow according to the method of A. L. Vorontsov, the formulas are obtained that are necessary for calculating the stresses and force parameters of extrusion with a counter-punch of the central region of plastic deformation adjacent to the formed wall of the product.


1950 ◽  
Vol 163 (1) ◽  
pp. 141-148 ◽  
Author(s):  
D. R. Bland

A method of finding the distortion of the roll surface when subject to a known pressure distribution is described. This method is then combined with a plastic-flow theory of rolling to determine the shape of the arc-of-contact and the pressure distribution over it when neither of these are known beforehand. Apart from the assumptions inherent in the theory of plastic flow, two assumptions only have been made: that the roll is in a state of plane strain and that the shape of the arc-of-contact is independent of the distribution of the balancing forces. The accuracy of the results is estimated to be 20 per cent. This paper shows that: first, it is not necessary to assume a parabolic pressure distribution to obtain a quantitative result; secondly, Hitchcock's solution (Hitchcock 1935)† is within the limits of error of the more fundamental solution and remains the most suitable method, for practical purposes, of allowing for roll flattening; thirdly, the main feature of the arc-of-contact is the depression in the region of peak pressure and the compensating greater curvature at both ends. This is a theoretical confirmation of Orowan's experiments (Orowan 1943).


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