Geodesic
Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity
Applications of Mathematics, Tome 37 (1992) no. 5, pp. 383-400

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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.
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.
DOI : 10.21136/AM.1992.104518
Classification : 73B05, 73B25, 73B30, 73F99, 74A15, 74A20, 74D99, 76A10
Keywords: multipolar materials; hereditary laws; Onsager's relations; integral constitutive equations; differential-type viscous materials; thermodynamic compatibility; Onsager-type symmetry 
Šilhavý, Miroslav. Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity. Applications of Mathematics, Tome 37 (1992) no. 5, pp. 383-400. doi: 10.21136/AM.1992.104518
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