General Reduced Forms of Constitutive Relations in the Classical Continuum Mechanics / G. L. Brovko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 2. P. 67-71 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 47-50].

A theory of constitutive relations describing the resistance of bodies to deformation is developed. This theory takes into account the presence of internal body forces and internal kinematic constraints. A number of axioms and a general reduced form of constitutive relations for classical media are proposed. For simple bodies it is proved that the Il'yushin and Noll constitutive relations are equivalent.

Key words: classical continuum mechanics, deformation resistance, constitutive relations, internal body forces, kinematic constraints, simple bodies, equivalence of constitutive relations by Ilyushin and by Noll.