General resulting forms of constitutive relations in the classical continuum mechanics

The theory of constitutive relations of deformation resistance of bodies is constructed provided simultaneously by possible presence of inner kinematic constraints in a body and by account of internal body forces. The axioms of the theory are proposed and the general reduced form of the system of constitutive relations is derived. For simple bodies (classical media), the equivalence of Ilyushin's and Noll's forms of constitutive relations is established.