| In Part I of this thesis a recently developed stress-assisted diffusion theory is further examined in terms of its physical appropriateness and mathematical foundations. A derivation of the basic equations under quite general assumptions is provided, a discussion of the physical interpretation and measurement of the phenomenological constants is given, and solutions to typical boundary value problems are obtained. The relevance of the theory to modeling the anelastic and elasto-diffusive phenomena first noted by Gorsky and later discussed by others is also illustrated.; In Part II, a recently developed consolidation theory with double porosity is further examined in terms of the physical interpretation and experimental determination of its phenomenological coefficients and its solution to typical engineering problems. Specifically, analytical solutions to the column problem of hydroengineering and the borehole problem of petroleum engineering are obtained. The solutions are reduced to familiar results of classical consolidation theory with single porosity when one type of porespace shrinks to zero. |
