  We investigate the mechanical behavior of particle-stabilized droplets using
micropipette aspiration. We observe that droplets stabilized with amphiphilic
dumbbell-shaped particles exhibit a two-stage response to increasing suction
pressure. Droplets first drip, then wrinkle and buckle like an elastic shell.
While particles have a dramatic impact on the mechanism of failure, the
mechanical strength of the droplets is only modestly increased. On the other
hand, droplets coated with the molecular surfactant Sodium Dodecyl Sulfate are
even weaker than bare droplets. In all cases, the magnitude of the critical
pressure for the onset of instabilities is set by the fluid surface tension.
