THE EFFECT OF VARIATION IN YIELD STRESS ON SLIP-LINE FIELD SOLUTIONS
- 1 January 1967
- journal article
- research article
- Published by Taylor & Francis in International Journal of Production Research
- Vol. 5 (3) , 249-262
- https://doi.org/10.1080/00207546708929755
Abstract
The paper shows how the governing equations are modified by allowing a variation in yield stress throughout a deformation zone. The limitations imposed by these equations are discussed and a method is proposed to illustrate the effect of variable yield stress on the deformation pattern. From the study of a particular solution of plane strain extrusion, it is concluded that variation in yield stress should not markedly change the pattern of deformation from that appropriate to a non-hardening situation. This conclusion, therefore, gives support for the mean strain solution currently employed to accommodate strain hardening, particularly if this method is applied incrementally along the streamlines.Keywords
This publication has 4 references indexed in Scilit:
- Stress relations along slip-lines for a material of variable flow stressInternational Journal of Mechanical Sciences, 1966
- Use of Upper Bound Solutions for Predicting the Pressure for the Plane Strain Extrusion of MaterialsJournal of Mechanical Engineering Science, 1964
- Perturbation methods in plasticity—I plane strain of non-homogeneous plastic solidsJournal of the Mechanics and Physics of Solids, 1961
- Mechanics of Orthogonal MachiningProceedings of the Institution of Mechanical Engineers, 1959