Poroviscoelasticity of transversely isotropic cylinders under laboratory loading conditions

The analytical poromechanics solution for the stresses, pore pressure, fluid flux, strains, and displacements of transversely isotropic saturated cylinders under general time-dependent loading is extended in this paper to account for the intrinsic viscoelastic nature of the porous matrix as well as the compressible interstitial fluid flow, simulating saturated poroviscoelastic geo-materials and bio-materials under some of the most encountered laboratory testing conditions: unconfined compression, confined compression, unjacketed triaxial, jacketed triaxial, and oedometer tests. Numerical examples are demonstrated for biological tissues in unconfined and confined compression tests with cyclic loading and rocks under triaxial configuration with confinement and linear-ramp axial loading.