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Internal state variables and normality in viscoplastic flow

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Abstract

Isothermal rheological behavior is described by free energyφ(ε,p) and potentialΩ(p,P) with\(\dot p = \partial \Omega /\partial P,P = - \partial \phi /\partial P,\sigma = \partial \phi /\partial \varepsilon \). A number of usual rheological effects can be explained with only one or two (scalar or tensorial) internal state variablesp.

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References

  1. Mandel, J., Variables cachées, Puissance dissipée, Dissipation normale. Cah. Groupe Français Rhéol., Numéro spécial Janvier 1980, p. 37.

  2. Halphen, B., Nguyen Quoc Son, J. Mécanique14, 41 (1975).

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Authors and Affiliations

  1. CREST-Faculté des Sciences, Université de Metz, Ile du Saulcy, F-57000, Metz, France

    J. D. Weber & A. Eberhardt

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  1. J. D. Weber
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  2. A. Eberhardt
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Weber, J.D., Eberhardt, A. Internal state variables and normality in viscoplastic flow. Rheol Acta 21, 403–405 (1982). https://doi.org/10.1007/BF01534302

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  • DOI: https://doi.org/10.1007/BF01534302

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