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Extended thermodynamics of viscoelastic materials

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Abstract

Extended thermodynamics is a field theory with the principal objective of determining the fields of deformation, temperature, stress and heat flux. With its hyperbolic field equations it ensures finite speeds for shear waves and thermal waves. The theory has previously been formulated for gases where its tenets could be well motivated by the kinetic theory of gases. The present paper is an attempt to incorporate solids into extended thermodynamics. In particular, it considers linearly viscoelastic solids and provides generalizations of the standard stress-strain relations of classical viscoelasticity.

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Authors and Affiliations

  1. Institute of Mathematics, Federal University of Rio de Janeiro, 21944, Rio de Janeiro, Brazil

    I-Shih Liu

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  1. I-Shih Liu
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Liu, IS. Extended thermodynamics of viscoelastic materials. Continuum Mech. Thermodyn 1, 143–164 (1989). https://doi.org/10.1007/BF01141999

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  • DOI: https://doi.org/10.1007/BF01141999

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