6 Thermodynamics of Continuum
6.1 First Law of Thermodynamics: Energy Equation
A deforming body, or a given portion of it, can be considered to be a thermodynamic system in continuum mechanics. The first law of thermodynamics relates the mechanical work done on the system and the heat transferred into the system to the change in total energy of the system. The rate at which external surface and body forces are doing work on a body currently occupying the volume V bounded by the surface S is given by (5.128), i.e.,
Let qi be a vector whose magnitude gives the rate of heat flow by conduction across a unit area normal to qi. The direction ...