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On the superposition of work dissipation in Coulomb's soil


This note investigates the applicability of the principle of superposition to the upper bound limit analysis with the Coulomb yield criterion. One application of this analysis is in calculation of bearing capacity of foundations on “general” soil. It is shown that in this type of plasticity problem, superposition can be applied to the dissipation of work, subject of certain conditions. It follows that a collapse load for a combination of two arbitrary kinematically admissible velocity fields can be calculated as a weighted average of the two collapse loads calculated from the separate fields. Importance of this finding is in simplifications it provides to calculation of collapse loads from complex velocity fields. However, from a practical point of view, cases where superposition cannot be applied have much greater importance. For these cases it is shown that a combination of the velocity fields from two kinematically admissible velocity fields sometimes allows the upper bound value of surface traction to be reduced below the values calculated from the separate fields.


Puzrin, Alexander

Index Terms:

geomechanics; GeomechanicsGroup; Puzrin, Alexander

Further Information:

Date published: 2001