The exploitation of the entropy principle in thermodynamics with Lagrange multipliers, the so–called Liu procedure,is based on the celebrated Liu theorem. In some recent papers, the Liu procedure has been generalized by considering the gradients of the governing equations as additional constraints. Here, we apply this generalized procedure to the equations of a continuum with vectorial internal variable and first-order non-loca lstate space. Then, owing to the obtained results, we develop a thermodynamic model for continua with scalar microstructure.
Thermodynamical setting for gradient continuum theories with vectorial internal variables:Application to granular materials
CIMMELLI, Vito Antonio;PACE, Angelo Raffaele
2013-01-01
Abstract
The exploitation of the entropy principle in thermodynamics with Lagrange multipliers, the so–called Liu procedure,is based on the celebrated Liu theorem. In some recent papers, the Liu procedure has been generalized by considering the gradients of the governing equations as additional constraints. Here, we apply this generalized procedure to the equations of a continuum with vectorial internal variable and first-order non-loca lstate space. Then, owing to the obtained results, we develop a thermodynamic model for continua with scalar microstructure.File in questo prodotto:
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Cimmelli Oliveri e Pace Granular materials, Int. J. Non-Lin. Mech. 49 2013 72-76.pdf
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