Theory of Deformation of a Porous Viscoelastic Anisotropic Solid

TLDR

The study discusses transverse and complete isotropy as particular cases of anisotropic porous viscoelastic solids. The authors formulate equations for the deformation of a viscoelastic porous solid with viscous fluid under general anisotropy and examine second‑order permeability changes. They develop general solutions for these equations, including the isotropic case. An example application is the settlement analysis of a loaded column.

Abstract

Equations are established for the deformation of a viscoelastic porous solid containing a viscous fluid under the most general assumptions of anisotropy. The particular cases of transverse and complete isotropy are discussed. General solutions are also developed for the equations in the isotropic case. As an example the problem of the settlement of a loaded column is treated. The second–order effect of the change of permeability with deformation is also discussed.