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On anisotropic finite deformation plasticity Part II. A two-component model

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Summary

The anisotropic plastic behavior of materials during finite deformation is partly due to the development of different types of textures or substructures. In order to describe phenomenologically this behavior, a two-component model of finite plasticity is proposed based on the scale invariance approach earlier advanced by Aifantis and co-workers. Each component follows its own evolution and rotation rules to account for the different textures occurring during the deformation process. A direct extension of this framework to consider viscoplastic effects is also developed. The model is applied to simulate the anisotropic deformation behavior of materials under tension, compression and torsion. The results are compared with available experimental data and related predictions of polycrystalline plasticity models. It is shown that the present continuum model has the advantages of both accuracy and simplicity as compared to polycrystalline calculations.

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Ning, J., Aifantis, E.C. On anisotropic finite deformation plasticity Part II. A two-component model. Acta Mechanica 106, 73–85 (1994). https://doi.org/10.1007/BF01300945

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