A study of two incremental theories of plasticity through large deformation in polycrystalline copper
✍ Scribed by Akhtar S. Khan; Yogesh Parikh
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 683 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0013-7944
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✦ Synopsis
Experimental data from combined tension-torsion
of thin-walled annealed polycrystalline copper tubes are compared with Prandtl-Reuss classical incremental theory and Bell's finite deformation incremental theory. In the experiment, the loads are prescribed and the loading paths include proportionate and nonproportionate tension and torsion. One of the main differences between the two theories is that the former is in terms of true stress and strain, whereas the latter is in nominal stress and nominal strain form. Also in one case, the equivalent stress and equivalent strain curves are approximated by a general power relation, whereas in the other case, the relation is parabolic. The results obtained in this investigation suggest that the finite deformation incremental theory in terms of nominal stress and nominal strain predicts the material behavior better than the classical incremental theory.