The number of stress functions necessary and sufficient for the solution of consolidation problems in axial symmetry is three: one for compression, one for rotation and a function satisfying ∇2F = 0. The boundary conditions referring to the grain skeleton, as well as to the pore water, are then accounted for.
The use is shown for the case of a rigid sphere embedded in an infinite soil mass and loaded uniformly over a circular area of its surface, considering both an impervious and a pervious boundary.
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de Jong, G.D.J. (2006). Application of stress functions to consolidation problems. In: Schotting, R.J., van Duijn, H.C.J., Verruijt, A. (eds) Soil Mechanics and Transport in Porous Media. Theory and Applications of Transport in Porous Media, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3629-3_11
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DOI: https://doi.org/10.1007/978-1-4020-3629-3_11
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