Abstract: The cavity expansion theory has been widely used in geotechnical engineering.A modified critical state model is employed to account for the three different modes of compressive deformation,i.e.,particle rearrangement,particle crushing and pseudoelastic deformation.In combination with the spatial mobilization plane(SMP) failure criterion and non-associated flow rule,the semi-analytical solutions are obtained to expansion in crushable sands by using the Matlab differential equation solver.In comparison to tho...