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An extended Coleman–Noll procedure for generalized continuum theories

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Abstract

Within rational continuum mechanics, the Coleman–Noll procedure is established to derive requirements to constitutive equations. Aiming in particular at generalized continuum theories, the present contribution demonstrates how this procedure can be extended to yield additionally the underlying balance equations of stress-type quantities. This is demonstrated for micromorphic and strain gradient media as well as for the microforce theory. The relation between the extended Coleman–Noll procedure and the method of virtual powers is pointed out.

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Authors and Affiliations

  1. Institute of Mechanics and Fluid Dynamics, TU Bergakademie Freiberg, Lampadiusstr. 4, Freiberg, 09596, Germany

    Geralf Hütter

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  1. Geralf Hütter
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Correspondence to Geralf Hütter.

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Communicated by Andreas Öchsner.

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Hütter, G. An extended Coleman–Noll procedure for generalized continuum theories. Continuum Mech. Thermodyn. 28, 1935–1941 (2016). https://doi.org/10.1007/s00161-016-0506-1

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  • DOI: https://doi.org/10.1007/s00161-016-0506-1

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