Finite Strain Analysis for Deep Cone Penetration

Abstract

The generalized expressions for the finite and infinitesimal strain components in the spherical and cylindrical polar coordinates have been derived. These expressions are then used to determine the strain components for both incompressible and compressible soils during plane strain conditions and cone penetration. The analysis for strains developed during dummy cone penetration in loose to medium‐dense Edgar sand is performed using displacements measured by the stereo technique. The circumferential strains computed for Edgar sand match those derived for loose Chattahoochee sand. There is a certain depth below which the pile or cone penetrations can be treated as deep penetrations. This depth varies with the relative density of the sand and increases with increase in the relative density. In shallow cone penetrations, the surface of the sand is free to heave, and therefore particles tend to return to their original positions when the tip has penetrated deeper than these particles. In deep penetration, the overburden pressures are significant and do not permit any heave at the surface.