Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity

Šilhavý, Miroslav. "Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity." Applications of Mathematics 37.5 (1992): 383-400. <http://eudml.org/doc/15723>.

@article{Šilhavý1992,
abstract = {The integral constitutive equations of a multipolar viscoelastic material are analyzed from the thermodynamic point of view. They are shown to be approximated by those of the differential-type viscous materials when the processes are slow. As a consequence of the thermodynamic compatibility of the viscoelastic model, the coefficients of viscosity of the approximate viscous model are shown to have an Onsager-type symmetry. This symmetry was employed earlier in the proof of the existence of solutions for the corresponding equations.},
author = {Šilhavý, Miroslav},
journal = {Applications of Mathematics},
keywords = {multipolar materials; hereditary laws; Onsager's relations; integral constitutive equations; differential-type viscous materials; thermodynamic compatibility; Onsager-type symmetry; hereditary laws; Onsager's relations; integral constitutive equations; differential-type viscous materials; thermodynamic compatibility; Onsager-type symmetry},
language = {eng},
number = {5},
pages = {383-400},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity},
url = {http://eudml.org/doc/15723},
volume = {37},
year = {1992},
}

TY - JOUR
AU - Šilhavý, Miroslav
TI - Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity
JO - Applications of Mathematics
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 5
SP - 383
EP - 400
AB - The integral constitutive equations of a multipolar viscoelastic material are analyzed from the thermodynamic point of view. They are shown to be approximated by those of the differential-type viscous materials when the processes are slow. As a consequence of the thermodynamic compatibility of the viscoelastic model, the coefficients of viscosity of the approximate viscous model are shown to have an Onsager-type symmetry. This symmetry was employed earlier in the proof of the existence of solutions for the corresponding equations.
LA - eng
KW - multipolar materials; hereditary laws; Onsager's relations; integral constitutive equations; differential-type viscous materials; thermodynamic compatibility; Onsager-type symmetry; hereditary laws; Onsager's relations; integral constitutive equations; differential-type viscous materials; thermodynamic compatibility; Onsager-type symmetry
UR - http://eudml.org/doc/15723
ER -