Displaying similar documents to “Thermodynamics of monopolar continuum of grade n ”

Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity

Miroslav Šilhavý (1992)

Applications of Mathematics

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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...

On the stability of multipolar elastic materials.

N. S. Wilkes (1979)

Stochastica

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In 1964, Green and Rivlin [1, 2] proposed two non-standard theories of continua. Both papers concerned non-simple materials: the first considered deformation gradients of higher order than the first as dependent variables; and the second, which generalised the first, treated materials whose kinematic state was not completely detemined by the deformation function, but was also dependent upon some multipolar deformation functions. In both theories the existence of higher order stresses...