This paper presents a new method for determining the plane-strain yield surfaces based on the application of the lower bound limit theorem of the theory of plasticity. The method is very simple and by use of linear programming optimization routine the points of the yield surface in the stress space are generated automatically.
Issue Section:
Technical Papers
1.
Bishop
J. F. W.
Hill
R.
1951
, “A Theory of the Plastic Distortion of a Polycrystalline Aggregate under Combined Stresses
,” The Philosophical Magazine
, Vol. 42
, pp. 414
–427
.2.
Chin
G. Y.
Mammel
W. L.
1967
, “Computer Solution of the Taylor Analysis for Axisymmetric Flow
,” Transactions of the AIME
, Vol. 239
, pp. 1400
–1405
.3.
Kocks
U. F.
Chandra
H.
1982
, “Slip Geometry in Partially Constrained Deformation
,” Acta Metallurgica
, Vol. 30
, pp. 695
–709
.4.
Taylor, G. I., 1938, “Analysis of Plastic Strain in Cubic Crystal,” Stephen Timoshenko 60th Anniversary Volume, McMillan, New York, pp. 218–233.
5.
Tome
C.
Kocks
U. F.
1985
, “The Yield Surface of the H.C.P. Crystals
,” Acta Metallurgica
, Vol. 33
, pp. 603
–621
.
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