Effective Tensor of the Relaxation Kernels of a Layered Medium Consisting of a Viscoelastic Material and a Viscous Incompressible Fluid

Владлена Валерьевна Шумилова · Fluid Dynamics · 2023

Abstract The explicit formulas for calculating the components of the effective tensor of relaxation kernels of a two-phase layered medium with a periodic microstructure are derived. The first phase of such a medium consists of an isotropic viscoelastic material and the second phase consists of a viscous incompressible fluid. In particular, it is established that the components of this tensor depend on the volume fraction of the fluid inside a periodicity cell and do not depend on the number of layers and the distances between them.

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