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This paper develops a complete analytical solution for the drained (or dry)cylindrical cavity expansion in non-associated Mohr-Coulomb soil, by using thegraphical approach and Lagrangian formulation of the cavity boundary valueproblem (through tracing the responses of a single soil particle at the cavitywall). The novelty of the new solution lies not only in the relaxation of thestrict intermediacy assumption for the vertical stress as usually adopted inthe previous analyses, but in the comprehensive consideration of arbitraryvalues of K_0, the coefficient of earth pressure at rest, as well. The essenceof the so-called graphical method, i.e., the unique geometrical analysis andtracking of the deviatoric stress trajectory, is fulfilled by leveraging thedeformation requirement that during drained expansion the progressivedevelopment of the radial and tangential strains must maintain to becompressive and tensile, respectively. With the incorporation of the radialequilibrium condition, the problem is formulated to solve a single first-orderdifferential equation for the internal cavity pressure with respect to apivotal auxiliary variable, for all the distinct scenarios of K_0 beingcovered. Some selected results are presented for the calculated cavityexpansion curve and limit cavity pressure through an example analysis.

A Graphical Theoretical Framework for Cylindrical Cavity Expansion in Mohr-Coulomb Geomaterials