Schemes of the Experiments for Determining the Kernels of Some Difference-Type Operators for Media with Nonrelaxing Volume

Within the framework of integral constitutive relations for linear isotropic viscoelastic media with difference-type kernels in the case of a nonrelaxing volume, possible, complementary to the known, setup experiments for determining the kernels of Ilyushin operators \({{\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{g} }_{\beta }}\) are proposed. One of them is based on the use of a sample from an auxiliary viscoelastic solid, the material functions of which are related to the creep function and the volume compression module of the given material. Similar schemes of setup experiments for finding operator kernels \({{\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{h} }_{\gamma }}\), in a certain sense conjugated with \({{\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{g} }_{\beta }}\), are also proposed.