Abstract
A relativistic version of the principle of virtual power in continuum mechanics is proposed which involves only arbitrary finite virtual velocity fields (and not infinitesimal variations) and accommodates thermodynamically irreversible processes. Along with the motion equations of the relativistic continuum, it provides the energy equation in the presence of dissipative processes such as heat conduction and viscosity in the purely thermomechanical case and the Joule effect and hysteresis in the case of the electrodynamics of continua with interactions.
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