Of some peculiarities of generalized rheological body. 2
© Ye.M. Bytzan
Peculiarities of high-rank rheological bodies (RB) formation through unification of two RBs with lesser number of elements were
analyzed. The necessary and sufficient conditions for the nonsingularity of complex RB are formulated, which lie in the equality of difference
between the quantity of parallel and consecutive connections in the formed RB to one, and the RB relaxation times that are composed in case of
parallel connections and aftereffect times in case of consecutive connection were different. The function of relaxation creeping were built, with
the help of which the cores are built, as well as resolutions of integral equations of the 2nd kind, which describe nonelastic processes in
media with aftereffects.
Key words: rheological body, rheological equation, deformation, tension, relaxation, rank, non-elasticity, non-degeneracy, wave field, rheological medium.