ON THE FOUNDATIONS OF NON-LINEAR THERMO-VISCO-ELASTICITY

The fundamental relations for non-linear thermovi co la ticity re developed using the continuum mechanics approach. The constitutive equations and the heat conduction equation ar derived. Wi h proper specializations, the equations for the thermoelastic solid, the thermoviscou fluid and other pecial classes of materials, hitherto not studied, are obtained. Although the general theory eveloped p rtains to a non-linear gener-ALIZATION OF THE Voigt-type aterial, the procedure may be used in the formulation of other theories of thermo-viscoelasticity. Extensions to the Rivlin-Ericksen theory of viscoelasticity and the Noll theory of hygrosteric materials are presented. (Author)