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On anisotropic finite deformation plasticity part I. A two-back stress model

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Summary

Based on the scale-invariance approach to finite plasticity, a two-back stress model is proposed to describe phenomenologically the evolution of substructure or texture development. Each back stress obeys its own evolution and rotational rules. Different types of hardening rules are obtained on the basis of crystal slip and a scale invariance argument to account for different types of substructure evolution. An anisotropic yield surface is used to consider directional hardening/softening and distortion of the yield surface. The extension to include viscoplastic effects is straightforward within the scale invariance approach. The model is applied to analyze experimental data for uniaxial loading, torsion of cylindrical specimens with fixed ends, and unconstrained torsion. The agreement between model predictions and experimental data is very good, despite the small number of adjustable parameters used.

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Author notes

  1. J. Ning

    Present address: Institute of Applied Mechanics, Southwestern Jiaotong University, People's Republic of China

  2. E. C. Aifantis

    Present address: Aristotle University of Thessaloniki, 54006, Thessaloniki, Greece

Authors and Affiliations

  1. Department of Mechanical Engineering and Engineering Mechanics, Michigan Technological University, 49931, Houghton, MI, USA

    J. Ning &  E. C. Aifantis

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  1. J. Ning
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Ning, J., Aifantis, E.C. On anisotropic finite deformation plasticity part I. A two-back stress model. Acta Mechanica 106, 55–72 (1994). https://doi.org/10.1007/BF01300944

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  • DOI: https://doi.org/10.1007/BF01300944

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