The role of hydrostatic stress on the plastic deformation of asperities is examined in the context of the adhesion theory of friction. A lower bound analysis gives the frictional shear strength to be proportional to the normal component of the deviatoric stress, rather than the total stress as is currently held in the Coulomb friction model. When applied to specific regimes, the new model is shown to agree qualitatively with various existing models for friction, including the Coulomb and Prandtl rules.

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