A probabilistic approach to polycrystalline plasticity part II: applications |
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| Authors: | Steven J Sackett James M Kelley Peter P Gillis |
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| Institution: | Lawrence Livermore Laboratory, University of California, Livermore, California 94550, USA;Division of Structural Engineering and Structural Mechanics, University of California, Berkeley, California 94720, USA;Division of Metallurgical Engineering and Materials Science, University of Kentucky, Lexington, Kentucky 40506, USA |
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| Abstract: | Using our constitutive theory for polycrystalline plasticity, we have calculated characteristic yield conditions for several sample materials in which the dependence of the dislocation velocity on stress is given by an empirical power function. The 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 the development of anisotropy during plastic deformation, material hardening and softening, the occurrence of upper and lower yield points, and a Bauschinger effect. |
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