The fractal scale-invariant structure of a temporal hierarchy in the relaxation and energy dissipation processes in a visco-elastic/capillary-porous medium

The phenomena of elastic aftereffects during loading/unloading viscoelastic and capillary-porous bodies, relaxation their stresses is accompanied by the energy accumulation dissipation to be taken into account in theory oscillations which also considers behavior materials when force applied them. aftereffect stress forms ostensibly opposite processes. In first case, under constant load deformation, work increases course time, second (energy) decreases. While researching on conditions application, i.e. within frame internal friction theories, one can find that some theories are based dependence oscillations’ velocity, other ones establish amplitude. Research papers hypothesis M.M. Davydenkov, according subjected depends amplitude does not depend velocity. According E.S. Sorokin, poorly consistent with describing inherited properties (viscoelastic ones). A tendency observed: better a reflects hereditary properties, worse this adapted describe losses due oscillations.In paper, an attempt has been made harmonize both these numerous experiments destruction described academic literature. It turns out order remove contradictions, it necessary take body deformation changing time.It shown hierarchy times determining shear bulk viscoelastic/capillary-porous medium fractal (scale-invariant) structure. was observed presence time fractality eases modeling bodies resulting universal function rather simple kind. particular, for scale-invariant distribution characteristics medium, application algebraic law possible: rheological models state equations derivatives fractional order.