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Continuum slip foundations of elasto-viscoplasticity

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Summary

A continuum slip theory for dislocation glide is employed to derive macroscopic, phenomenological models for incompressible viscoplasticity. The microstructural origins of kinematic/isotropic hardening and rate-dependence are examined within the framework of the continuum slip theory of Rice and the single slip scale invariance theory of Aifantis for dislocation glide. In the process, the limitations on primitive assumptions for existing forms of state variable viscoplasticity become apparent. A form for rate-dependent evolution of backstress is derived which supports recent phenomenological approaches. Extensions to finite strain and compressible viscoplasticity are discussed.

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Author notes

  1. D. L. McDowell

    Present address: George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, 30332-0405, Atlanta, GA, U.S.A.

  2. J. C. Moosbrugger

    Present address: Department of Mechanical and Aeronautical Engineering, Clarkson University, 13699, Potsdam, NY, U.S.A.

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    1. D. L. McDowell
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    2. J. C. Moosbrugger
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    McDowell, D.L., Moosbrugger, J.C. Continuum slip foundations of elasto-viscoplasticity. Acta Mechanica 93, 73–87 (1992). https://doi.org/10.1007/BF01182574

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