  We consider a class of cosmological fluids that possess properties analogous
to those of crystalline solids undergoing isotropic deformations. Our research
is based on a modified log-corrected power-law equation of state in the
presence of a bulk viscosity. This formalism represents a class of so-called
logotropic fluids, and allows explaining an accelerating late-time universe. In
order to obtain a more detailed picture of its evolution, we add in our model a
coupling of the log-corrected power-law fluid to dark matter, and study various
interacting forms between them. We solve the system of equations for a modified
log-power-law fluid coupled to dark matter, and obtain expressions for the
log-corrected power-law energy density, and the energy density for dark matter.
A comparative analysis is made with the model of a nonviscous log-corrected
power-law fluid without interaction with dark matter.
