Abstract
We look at a mechanical dissipation inequality differing from the standard one by what we call a relative power, a notion that is appropriate in the presence of material mutations. We prove that a requirement of structural invariance for such an inequality under the action of diffeomorphism-based changes of observers (covariance) implies (i) the representation of contact actions in terms of the first Piola-Kirchhoff stress, (ii) local balances of standard and configurational actions, (iii) a priori constitutive restrictions in terms of free energy, and(iv) a representation of viscous-type stress components. This article is part of the theme issue 'Foundational issues, analysis and geometry in continuum mechanics'.
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More From: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
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