Abstract
Closed-form solutions are of great interest for quick and accurate evaluation of stresses and displacements around underground excavations. Based on complex variable theory and on the method of conformal mapping, closed-form solutions for stresses and displacements around deep tunnels with arbitrary cross section in a homogeneous, transversely isotropic and linear elastic ground with non-isotropic far-field stress conditions are developed. The results obtained with the proposed analytical solution are compared with those obtained with the numerical code FLAC3D for some usual shapes of tunnel openings.
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