Establishing Experiments in Tensor Nonlinear Theories of Continuum Mechanics / D. V. Georgievskii. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 2. P. 66-68 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 49-50].
A basic scheme of establishing experiments to find three material functions of tensor nonlinear constitutive relations in continuum mechanics is described. These material functions depend on the three invariants of a stress state. It is proposed to use long hollow cylindrical specimens suitable to implement any combination of the following realizable stress states: uniaxial tension, torsion, longitudinal shear, and uniform compression.
Key words: constitutive relation, material function, establishing experiment, tensor nonlinearity, invariant, extension, torsion, shear, compression.