At least some embodiments of the present disclosure direct to an electrostatic sheet jamming apparatus comprising a first sheet comprising a first conductive layer, the first sheet comprising a set of first features, a first dielectric layer, and a second sheet comprising a second conductive layer and disposed proximate to the first dielectric layer, the second sheet comprising a set of second features. The first dielectric layer is disposed between the first conductive layer and the second conductive layer. The first sheet and the second sheet are non-extensible and flexible. The first sheet and the second sheet are movable relative to each other in a first state. The first sheet and the second sheet are jammed with each other in a second state when a voltage is applied between the first conductive layer and the second conductive layer.