Balance Equations in Continuum Physics
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In this chapter, we present the basic equations of continuum physics both in global and local formulations. The local balance laws together with the global Clausius–Duhem inequality define the class of admissible thermodynamic processes. Boundary conditions and discontinuities appear as prominent issues. We give a few examples of constitutive equations for the stress tensor and for the transport fluxes. A set of worked-out practical modeling scenarios is emphasized.