A set of constitutiue equations for polycrystalline plasticity is derived using arguments based directly on the dislocation processes inuolved. Distributed glide-plane orientations and Burgers-vector directions facilitate handling of the polycrystalline structure, and they yield equations involving
A probabilistic approach to polycrystalline plasticity part II: applications
β Scribed by Steven J. Sackett; James M. Kelley; Peter P. Gillis
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 944 KB
- Volume
- 304
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
Using our constitwtiue theory for polycrystalline plasticity, we
have calculated to characteristic yield conditions for several sample materials in which the dependence of the dislocation velocity on stress is given by an empirical power function. 7'he shape of the yield surfaces for these materials varies resembling that of von Mises when the stress exponent is small and that of Tresca when the exponent is large. Additional examples illustrate the ability of the proposed theory to model such phenomena as Ihe development of anisotropy' during plastic deformation, material hardening and softening, rhe occurrence of upper and lower yield points, and a Bauschinger effect.
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