Flexible haptic interface including a chamber containing a non-newtonian fluid and bounded at least partially by a flexible wall the exterior face of which defines a touch surface capable of being touched by a user; a plurality of actuators borne by a flexible carrier and placed so as to transmit a local mechanical excitation to the fluid; and a control circuit connected to the actuators and configured to modulate the signals sent to the actuators in order to mechanically induce a modification of the rheology of the fluid and to generate a haptic sensation perceptible by the user on the touch surface.